%%% -*-BibTeX-*- %%% ==================================================================== %%% BibTeX-file{ %%% author = "Nelson H. F. Beebe", %%% version = "1.01", %%% date = "16 November 2023", %%% time = "09:41:56 MST", %%% filename = "olver-frank-w-j.bib", %%% address = "University of Utah %%% Department of Mathematics, 110 LCB %%% 155 S 1400 E RM 233 %%% Salt Lake City, UT 84112-0090 %%% USA", %%% telephone = "+1 801 581 5254", %%% FAX = "+1 801 581 4148", %%% URL = "https://www.math.utah.edu/~beebe", %%% checksum = "60997 11380 49655 494705", %%% email = "beebe at math.utah.edu, beebe at acm.org, %%% beebe at computer.org (Internet)", %%% codetable = "ISO/ASCII", %%% keywords = "Airy functions; ALGOL 60; asymptotic %%% expansions; bibliography; BibTeX; Bessel %%% functions; Chebyshev polynomials; complex %%% arithmetic; confluent hypergeometric %%% function; cylinder functions; difference %%% equations; differential equations; economized %%% polynomials; elementary functions; error %%% analysis; error arithmetic; error bounds; %%% exponential function; exponential integral; %%% extended-range arithmetic; floating-point %%% arithmetic; Frank William John Olver; gamma %%% functions; Gaussian elimination; generalized %%% exponential integral; guard digits; Legendre %%% functions; level-index (LI) number system; %%% Liouville--Green--Olver approximations; %%% logarithm function; matrix analysis; Miller's %%% recurrence algorithm; NIST Handbook of %%% Mathematical Functions; number theory; %%% numerical analysis; reciprocal roots; %%% recurrence relations; rounding errors; %%% Sharma--Tasso--Olver equation; special %%% functions; square roots; Weber parabolic %%% cylinder functions; Whittaker functions", %%% license = "public domain", %%% supported = "yes", %%% docstring = "This is a COMPLETE bibliography of %%% publications by, and about, the %%% British--American numerical analyst, Frank %%% William John Olver (December 15, 1924--April %%% 23, 2013). Frank Olver's son, Peter %%% J. Olver, and Peter's son and Frank's %%% grandson, Sheehan Olver, are also %%% mathematicians. %%% %%% Frank Olver was born in Croydon, England, and %%% earned B.Sc. (1944), M.Sc. (1948), and %%% D.Sc. (1961) degrees, all from the University %%% of London. He wrote in his final paper %%% (entry Olver:2014:MIM): %%% %%% ``My days as a student were remarkably %%% brief, ending in June, 1944 with the %%% final exams for my B.Sc. Honours Degree %%% in maths, a few days after D-Day. I was %%% then 19 1/2 years of age. Later, I took %%% my M.Sc. degree by individual study and %%% examination. And my D.Sc. degree was %%% awarded in 1961 based on research papers %%% up to that time. I never returned to a %%% university as a student after my B.Sc..'' %%% %%% During an 11-month post-bachelor's stint at %%% the Admiralty Computing Service, he became %%% interested in numerical analysis. When World %%% War II ended, he moved in Fall 1945 to the %%% National Physical Laboratory (NPL) in %%% Teddington, UK (a southwest London suburb). %%% %%% In late 1956, Milton Abramowitz invited Frank %%% Olver to come to the US National Bureau of %%% Standards to work for a year on the chapter %%% ``Bessel Functions of Integer Order'' for the %%% NBS Handbook of Mathematical Functions that %%% was published in 1964. Frank Olver and his %%% family arrived at the NBS in Washington, DC, %%% in September 1957. The requested chapter %%% took three months of work, but he remained at %%% the NBS for 15 months, working closing with %%% Milton Abramowitz, who sadly died of a heart %%% attack on 5 July 1958. The Olver family %%% returned to Britain in December 1958, but the %%% family moved permanently to the US in 1961 %%% where Frank was welcomed back at the NBS. %%% %%% The result of that work was the 1964 %%% publication of the famous NBS Handbook of %%% Mathematical Functions (entry %%% Abramowitz:1964:HMF), often called after its %%% editors, Abramowitz and Stegun, or shortened %%% to the NBS Handbook. In his final paper, %%% written in 2000, (entry Olver:2014:MIM), %%% Frank Olver wrote: %%% %%% ``Earlier on I mentioned that the purpose %%% of my original visit to the USA was to %%% write a chapter on Bessel functions for %%% the NBS Handbook of Mathematical %%% Functions. This handbook was finally %%% published in 1964, and except for %%% reprintings, with corrections of errors, %%% nothing has happened to it in the %%% intervening 35 years. %%% %%% Nothing, that is, except that the %%% Handbook has turned out to be the biggest %%% selling and most frequently referenced %%% work in mathematics and science of all %%% time.'' %%% %%% In 1969, Frank Olver was invited to the %%% position of Research Professor of Mathematics %%% at the University of Maryland, but retained %%% his appointment at the NBS, which was renamed %%% the National Institute of Standards and %%% Technology (NIST) in 1988. The understanding %%% was that one day a week would be spent at the %%% NBS. That productive joint relationship %%% continued until the end of his life. %%% %%% In 1998, at NIST, he became the %%% Editor-in-Chief of the NIST Handbook of %%% Mathematical Functions (2010), and %%% mathematics editor of the online NIST Digital %%% Library of Mathematical Functions. %%% %%% Entry Wong:1990:ACA records the proceedings %%% of a conference held in honor of Frank %%% Olver's 65th birthday. %%% %%% Entry Wong:2000:SPF records a two-volume %%% collection of 56 selected papers by Frank %%% Olver that were published between 1949 and %%% 1999 --- almost 1100 pages. %%% %%% Entry Andrews:1994:D is a dedication of a %%% special issue of the SIAM Journal on %%% Mathematical Analysis to Richard Askey and %%% Frank Olver. %%% %%% Entry Olver:2014:MIM is Frank Olver's last %%% publication, completed by his son Peter %%% J. Olver after Frank's death. It includes an %%% account of his education and professional %%% life. %%% %%% Frank Olver's archived home page at %%% %%% https://web.archive.org/web/20100530002944/http://www.ipst.umd.edu/researchandfaculty/Olver/ %%% %%% includes a complete list of his publications, %%% last updated 24 June 2009. All of them are %%% present in this bibliography. %%% %%% Other Web sites about Frank Olver and his %%% work include: %%% %%% https://dlmf.nist.gov %%% https://en.wikipedia.org/wiki/Abramowitz_and_Stegun %%% https://en.wikipedia.org/wiki/Frank_W._J._Olver %%% https://en.wikipedia.org/wiki/Symmetric_level-index_arithmetic %%% https://experimentalmath.info/blog/2013/05/frank-w-j-olver-1924-2013/ %%% https://sinews.siam.org/About-the-Author/obituaries-frank-wj-olver-1924-2013 %%% https://www.mathgenealogy.org/id.php?id=139248 %%% %%% At version 1.01, the COMPLETE year coverage %%% looked like this: %%% %%% 1946 ( 2) 1972 ( 7) 1998 ( 4) %%% 1947 ( 0) 1973 ( 4) 1999 ( 2) %%% 1948 ( 0) 1974 ( 4) 2000 ( 3) %%% 1949 ( 1) 1975 ( 9) 2001 ( 2) %%% 1950 ( 1) 1976 ( 6) 2002 ( 0) %%% 1951 ( 2) 1977 ( 8) 2003 ( 0) %%% 1952 ( 3) 1978 ( 8) 2004 ( 4) %%% 1953 ( 1) 1979 ( 6) 2005 ( 0) %%% 1954 ( 3) 1980 ( 18) 2006 ( 0) %%% 1955 ( 1) 1981 ( 5) 2007 ( 1) %%% 1956 ( 2) 1982 ( 3) 2008 ( 3) %%% 1957 ( 1) 1983 ( 13) 2009 ( 2) %%% 1958 ( 2) 1984 ( 5) 2010 ( 9) %%% 1959 ( 3) 1985 ( 4) 2011 ( 9) %%% 1960 ( 5) 1986 ( 13) 2012 ( 1) %%% 1961 ( 4) 1987 ( 7) 2013 ( 5) %%% 1962 ( 1) 1988 ( 8) 2014 ( 23) %%% 1963 ( 3) 1989 ( 9) 2015 ( 1) %%% 1964 ( 6) 1990 ( 51) 2016 ( 1) %%% 1965 ( 7) 1991 ( 10) 2017 ( 1) %%% 1966 ( 1) 1992 ( 5) 2018 ( 1) %%% 1967 ( 5) 1993 ( 6) 2019 ( 0) %%% 1968 ( 2) 1994 ( 11) 2020 ( 1) %%% 1969 ( 1) 1995 ( 5) 2021 ( 2) %%% 1970 ( 5) 1996 ( 1) 2022 ( 1) %%% 1971 ( 2) 1997 ( 2) %%% %%% Article: 243 %%% Book: 20 %%% InCollection: 18 %%% InProceedings: 62 %%% Misc: 13 %%% PhdThesis: 1 %%% Proceedings: 10 %%% TechReport: 1 %%% %%% Total entries: 368 %%% %%% The checksum field above contains a CRC-16 %%% checksum as the first value, followed by the %%% equivalent of the standard UNIX wc (word %%% count) utility output of lines, words, and %%% characters. This is produced by Robert %%% Solovay's checksum utility.", %%% } %%% ====================================================================

@Preamble{ "\ifx \undefined \booktitle \def \booktitle #1{{{\em #1}}} \fi" # "\ifx \undefined \cprime \def \cprime {$'$} \fi" # "\ifx \undefined \cyr \let \cyr = \rm \fi" # "\ifx \undefined \mathbb \def \mathbb #1{{\bf #1}} \fi" }

%%% ==================================================================== %%% Acknowledgement abbreviations:

@String{ack-nhfb= "Nelson H. F. Beebe, University of Utah, Department of Mathematics, 110 LCB, 155 S 1400 E RM 233, Salt Lake City, UT 84112-0090, USA, Tel: +1 801 581 5254, FAX: +1 801 581 4148, e-mail: \path|beebe@math.utah.edu|, \path|beebe@acm.org|, \path|beebe@computer.org| (Internet), URL: \path|https://www.math.utah.edu/~beebe/|"}

%%% ==================================================================== %%% Journal abbreviations:

@String{j-AM-SCI= "American Scientist"} @String{j-AMER-MATH-MONTHLY= "American Mathematical Monthly"} @String{j-ANAL-APPL= "Analysis and Applications (Singapore)"} @String{j-ANN-NUM-MATH= "Annals of Numerical Mathematics"} @String{j-APL-MAT= "Aplikace Matematiky"} @String{j-APPL-MATH-COMP= "Applied Mathematics and Computation"} @String{j-APPL-NUM-MATH= "Applied Numerical Mathematics: Transactions of IMACS"} @String{j-BIT= "BIT (Nordisk tidskrift for informationsbehandling)"} @String{j-BULL-AMS-N-S= "Bulletin of the American Mathematical Society (new series)"} @String{j-BULL-INST-MATH-APPL= "Bulletin of the Institute of Mathematics and its Applications"} @String{j-C-R-ACAD-SCI-PARIS-SER-AB= "Comptes Rendus Hebdomadaires des S{\'e}ances de l'Acad{\'e}mie des Sciences. S{\'e}ries A et B"} @String{j-CAN-J-MATH= "Canadian Journal of Mathematics = Journal canadien de math{\'e}matiques"} @String{j-COMPUT-MATH-APPL-B= "Computers and Mathematics with Applications. Part B"} @String{j-COMPUTING= "Computing"} @String{j-CONG-NUM= "Congressus Numerantium"} @String{j-CONTEMP-PHYS= "Contemporary Physics"} @String{j-DELFT-PROG-REP= "Delft progress report"} @String{j-GUARDIAN= "The Guardian"} @String{j-ILL-J-MATH= "Illinois Journal of Mathematics"} @String{j-IMA-J-APPL-MATH= "IMA Journal of Applied Mathematics"} @String{j-IMA-J-NUMER-ANAL= "IMA Journal of Numerical Analysis"} @String{j-INDAG-MATH= "Indagationes Mathematic{\ae}"} @String{j-INDIANA-U-MATH= "Indiana University Mathematics Journal"} @String{j-INT-STAT-REV= "International Statistical Review = Revue Internationale de Statistique"} @String{j-IRISH-MATH-SOC-BULL= "Irish Mathematical Society Bulletin"} @String{j-J-ACM= "Journal of the ACM"} @String{j-J-APPL-PHYS= "Journal of Applied Physics"} @String{j-J-APPROX-THEORY= "Journal of Approximation Theory"} @String{j-J-AUSTRAL-MATH-SOC-SER-A= "Journal of the Australian Mathematical Society. Series A"} @String{j-J-AUSTRALIAN-MATH-SOC= "Journal of the Australian Mathematical Society"} @String{j-J-COMPUT-APPL-MATH= "Journal of Computational and Applied Mathematics"} @String{j-J-COMPUT-PHYS= "Journal of Computational Physics"} @String{j-J-INST-MATH-APPL= "Journal of the Institute of Mathematics and its Applications"} @String{j-J-LOND-MATH-SOC= "Journal of the London Mathematical Society"} @String{j-J-MATH-ANAL-APPL= "Journal of Mathematical Analysis and Applications"} @String{j-J-MATH-PHYS= "Journal of Mathematical Physics"} @String{j-J-PHYS-A= "Journal of Physics A (Mathematical and General)"} @String{j-J-PHYS-B= "Journal of Physics B: Atomic and Molecular Physics"} @String{j-J-RES-NATL-BUR-STAND-B= "Journal of Research of the National Bureau of Standards. Section B, Mathematics and Mathematical Physics"} @String{j-J-SIAM= "Journal of the Society for Industrial and Applied Mathematics"} @String{j-LECT-NOTES-MATH= "Lecture Notes in Mathematics"} @String{j-MATH-COMPUT= "Mathematics of Computation"} @String{j-MATH-GAZ= "Mathematical Gazette"} @String{j-MATH-INEQUAL-APPL= "Mathematical Inequalities \& Applications"} @String{j-MATH-NACHR= "Mathematische Nachrichten"} @String{j-MATH-PROC-CAMB-PHILOS-SOC= "Mathematical Proceedings of the Cambridge Philosophical Society"} @String{j-MATH-TABLES-OTHER-AIDS-COMPUT= "Mathematical Tables and Other Aids to Computation"} @String{j-MATHEMATIKA= "Mathematika"} @String{j-METHODS-APPL-ANAL= "Methods and Applications of Analysis"} @String{j-NAMS= "Notices of the American Mathematical Society"} @String{j-NONLINEAR-DYN= "Nonlinear Dynamics"} @String{j-NUM-MATH= "Numerische Mathematik"} @String{j-OPT-EXPRESS= "Optics Express"} @String{j-OPT-PHOTONICS-J= "Optics and Photonics Journal"} @String{j-PAC-J-MATH= "Pacific Journal of Mathematics"} @String{j-PHILOS-TRANS-R-SOC-LOND-SER-A= "Philosophical Transactions of the Royal Society A: Mathematical, Physical, and Engineering Sciences"} @String{j-PROC-AM-MATH-SOC= "Proceedings of the American Mathematical Society"} @String{j-PROC-CAMBRIDGE-PHIL-SOC= "Proceedings of the Cambridge Philosophical Society. Mathematical and physical sciences"} @String{j-PROC-EDINBURGH-MATH-SOC-2= "Proceedings of the Edinburgh Mathematical Society (2)"} @String{j-PROC-R-IR-ACAD-SECT-A= "Proceedings of the Royal Irish Academy, Section A: Mathematical and Physical Sciences"} @String{j-PROC-R-SOC-EDINB-SECT-A-MATH= "Proceedings of the Royal Society of Edinburgh. Section A, Mathematical and Physical Sciences"} @String{j-PROC-R-SOC-LOND-SER-A-MATH-PHYS-SCI= "Proceedings of the Royal Society of London. Series A, Mathematical and physical sciences"} @String{j-QUART-APPL-MATH= "Quarterly of Applied Mathematics"} @String{j-QUART-J-MECH-APPLIED-MATH= "Quarterly Journal of Mechanics and Applied Mathematics"} @String{j-SIAM-J-APPL-MATH= "SIAM Journal on Applied Mathematics"} @String{j-SIAM-J-MATH-ANA= "SIAM Journal on Mathematical Analysis"} @String{j-SIAM-J-NUM-ANALYSIS-B= "Journal of the Society for Industrial and Applied Mathematics: Series B, Numerical Analysis"} @String{j-SIAM-J-NUMER-ANAL= "SIAM Journal on Numerical Analysis"} @String{j-SIAM-REVIEW= "SIAM Review"} @String{j-STUD-APPL-MATH= "Studies in Applied Mathematics"} @String{j-TOMS= "ACM Transactions on Mathematical Software"} @String{j-TRANS-AM-MATH-SOC= "Transactions of the American Mathematical Society"} @String{j-UTIL-MATH= "Utilitas Mathematica"} @String{j-WASHINGTON-POST= "Washington Post"} @String{j-Z-ANGE-MATH-MECH= "{Zeitschrift f{\"u}r Angewandte Mathematik und Mechanik}"}

%%% ==================================================================== %%% Publisher abbreviations:

@String{pub-A-K-PETERS= "A. K. Peters, Ltd."} @String{pub-A-K-PETERS:adr= "Wellesley, MA, USA"} @String{pub-ACADEMIC= "Academic Press"} @String{pub-ACADEMIC:adr= "New York, USA"} @String{pub-ACM= "ACM Press"} @String{pub-ACM:adr= "New York, NY 10036, USA"} @String{pub-AMS= "American Mathematical Society"} @String{pub-AMS:adr= "Providence, RI, USA"} @String{pub-AW= "Ad{\-d}i{\-s}on-Wes{\-l}ey"} @String{pub-AW:adr= "Reading, MA, USA"} @String{pub-BIRKHAUSER= "Birkh{\"a}user"} @String{pub-BIRKHAUSER:adr= "Cambridge, MA, USA; Berlin, Germany; Basel, Switzerland"} @String{pub-BIRKHAUSER-BOSTON= "Birkh{\"a}user Boston Inc."} @String{pub-BIRKHAUSER-BOSTON:adr= "Cambridge, MA, USA"} @String{pub-CAMBRIDGE= "Cambridge University Press"} @String{pub-CAMBRIDGE:adr= "Cambridge, UK"} @String{pub-GREENWOOD= "Greenwood Press"} @String{pub-GREENWOOD:adr= "88 Post Road West, Westport, CT 06881, USA"} @String{pub-GRUYTER= "Walter de Gruyter"} @String{pub-GRUYTER:adr= "Berlin, Germany"} @String{pub-HMSO= "Her Majesty's Stationery Office"} @String{pub-HMSO:adr= "London, UK"} @String{pub-IEEE= "IEEE Computer Society Press"} @String{pub-IEEE:adr= "1109 Spring Street, Suite 300, Silver Spring, MD 20910, USA"} @String{pub-INTERSCIENCE= "Interscience Publishers"} @String{pub-INTERSCIENCE:adr= "New York, NY, USA"} @String{pub-LONGMAN= "Longman Scientific and Technical"} @String{pub-LONGMAN:adr= "Harlow, Essex"} @String{pub-MAA= "Mathematical Association of America"} @String{pub-MAA:adr= "Washington, DC, USA"} @String{pub-MARCEL-DEKKER= "Marcel Dekker"} @String{pub-MARCEL-DEKKER:adr= "New York, NY, USA"} @String{pub-MCGRAW-HILL= "Mc{\-}Graw-Hill"} @String{pub-MCGRAW-HILL:adr= "New York, NY, USA"} @String{pub-MIT= "MIT Press"} @String{pub-MIT:adr= "Cambridge, MA, USA"} @String{pub-NBS= "U.S. National Bureau of Standards"} @String{pub-NBS:adr= "Gaithersburg, MD, USA"} @String{pub-NORTH-HOLLAND= "North-Holland Publishing Co."} @String{pub-NORTH-HOLLAND:adr= "Amsterdam, The Netherlands"} @String{pub-NTIS= "National Technical Information Service"} @String{pub-NTIS:adr= "Washington, DC, USA"} @String{pub-OXFORD= "Oxford University Press"} @String{pub-OXFORD:adr= "Walton Street, Oxford OX2 6DP, UK"} @String{pub-PH= "Pren{\-}tice-Hall"} @String{pub-PH:adr= "Upper Saddle River, NJ 07458, USA"} @String{pub-PRINCETON= "Princeton University Press"} @String{pub-PRINCETON:adr= "Princeton, NJ, USA"} @String{pub-REIDEL= "D. Reidel"} @String{pub-REIDEL:adr= "Dordrecht, The Netherlands; Boston, MA, USA; Lancaster, UK; Tokyo, Japan"} @String{pub-SIAM= "SIAM Press"} @String{pub-SIAM:adr= "Philadelphia, PA, USA"} @String{pub-SV= "Springer-Verlag"} @String{pub-SV:adr= "Berlin, Germany~/ Heidelberg, Germany~/ London, UK~/ etc."} @String{pub-USGPO= "United States Government Printing Office"} @String{pub-USGPO:adr= "Washington, DC, USA"} @String{pub-VAN-NOSTRAND-REINHOLD= "Van Nostrand Reinhold"} @String{pub-VAN-NOSTRAND-REINHOLD:adr= "New York, NY, USA"} @String{pub-WILEY= "Wiley"} @String{pub-WILEY:adr= "New York, NY, USA"} @String{pub-WORLD-SCI= "World Scientific Publishing Co."} @String{pub-WORLD-SCI:adr= "Singapore; Philadelphia, PA, USA; River Edge, NJ, USA"}

%%% ==================================================================== %%% Part 1: Publications by Frank W. J. Olver %%% %%% Bibliography entries, sorted by year, and then by citation label:

@Article{Olver:1946:NPH, author = "F. W. J. Olver", title = "Note on a paper of {H. Bateman}", journal = j-J-APPL-PHYS, volume = "17", number = "12", pages = "1127", month = dec, year = "1946", CODEN = "JAPIAU", DOI = "https://doi.org/10.1063/1.1707687", ISSN = "0021-8979 (print), 1089-7550 (electronic), 1520-8850", ISSN-L = "0021-8979", MRclass = "65.0X", MRnumber = "19993", MRreviewer = "L. J. Comrie", bibdate = "Sun Nov 5 09:03:34 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", note = "Correction of numerical errors in \cite{Bateman:1946:SIE}.", acknowledgement = ack-nhfb, author-dates = "Frank William John Olver (15 December 1924--23 April 2013)", fjournal = "Journal of Applied Physics", journal-URL = "http://aip.scitation.org/toc/jap/current", received = "30 September 1946", } @Article{Olver:1949:TCS, author = "F. W. J. Olver", title = "Transformation of certain series occurring in aerodynamic interference calculations", journal = j-QUART-J-MECH-APPLIED-MATH, volume = "2", pages = "452--457", year = "1949", CODEN = "QJMMAV", DOI = "https://doi.org/10.1093/qjmam/2.4.452", ISSN = "0033-5614 (print), 1464-3855 (electronic)", ISSN-L = "0033-5614", MRclass = "40.0X", MRnumber = "33358", MRreviewer = "R. P. Boas", bibdate = "Sun Nov 5 09:03:34 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", acknowledgement = ack-nhfb, author-dates = "Frank William John Olver (15 December 1924--23 April 2013)", fjournal = "The Quarterly Journal of Mechanics and Applied Mathematics", journal-URL = "http://qjmam.oxfordjournals.org/content/by/year", } @Article{Olver:1950:NME, author = "F. W. J. Olver", title = "A new method for the evaluation of zeros of {Bessel} functions and of other solutions of second-order differential equations", journal = j-PROC-CAMBRIDGE-PHIL-SOC, volume = "46", number = "4", pages = "570--580", year = "1950", CODEN = "PCPSA4", DOI = "https://doi.org/10.1017/S030500410002613X", ISSN = "0008-1981", ISSN-L = "0008-1981", MRclass = "65.0X", MRnumber = "37609", MRreviewer = "John Todd", bibdate = "Sun Nov 5 09:03:34 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", acknowledgement = ack-nhfb, author-dates = "Frank William John Olver (15 December 1924--23 April 2013)", fjournal = "Proceedings of the Cambridge Philosophical Society", journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=PSP", } @Article{Clenshaw:1951:NNA, author = "C. W. Clenshaw and F. W. J. Olver", title = "Notes on Numerical Analysis---3: Solution of Differential Equations by Recurrence Relations (in Automatic Computing Machinery; Discussions)", journal = j-MATH-TABLES-OTHER-AIDS-COMPUT, volume = "5", number = "33", pages = "34--39", month = jan, year = "1951", CODEN = "MTTCAS", DOI = "https://doi.org/10.1090/S0025-5718-51-99443-4", ISSN = "0891-6837 (print), 2326-4853 (electronic)", ISSN-L = "0891-6837", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib; https://www.math.utah.edu/pub/tex/bib/mathcomp1950.bib; JSTOR database", acknowledgement = ack-nhfb, author-dates = "Charles William Clenshaw (15 March 1926--23 September 2004); Frank William John Olver (15 December 1924--23 April 2013)", fjournal = "Mathematical Tables and Other Aids to Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Olver:1951:FME, author = "F. W. J. Olver", title = "A further method for the evaluation of zeros of {Bessel} functions and some new asymptotic expansions for zeros of functions of large order", journal = j-PROC-CAMBRIDGE-PHIL-SOC, volume = "47", number = "4", pages = "699--712", month = oct, year = "1951", CODEN = "PCPSA4", DOI = "https://doi.org/10.1017/S0305004100027158", ISSN = "0008-1981", ISSN-L = "0008-1981", MRclass = "65.0X", MRnumber = "43551", MRreviewer = "John Todd", bibdate = "Sun Nov 5 09:03:34 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", acknowledgement = ack-nhfb, author-dates = "Frank William John Olver (15 December 1924--23 April 2013)", fjournal = "Proceedings of the Cambridge Philosophical Society", journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=PSP", } @Article{Olver:1952:EZH, author = "F. W. J. Olver", title = "The evaluation of zeros of high-degree polynomials", journal = j-PHILOS-TRANS-R-SOC-LOND-SER-A, volume = "244", number = "885", pages = "385--415", month = apr, year = "1952", CODEN = "PTRMAD, PTMSFB", DOI = "https://doi.org/10.1098/rsta.1952.0010", ISSN = "0080-4614 (print), 2054-0272 (electronic)", ISSN-L = "1364-503X", MRclass = "65.0X", MRnumber = "49652", MRreviewer = "J. C. P. Miller", bibdate = "Sun Nov 5 09:03:34 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", acknowledgement = ack-nhfb, author-dates = "Frank William John Olver (15 December 1924--23 April 2013)", fjournal = "Philosophical Transactions of the Royal Society of London. Series A. Mathematical and Physical Sciences", journal-URL = "http://rsta.royalsocietypublishing.org/", } @Article{Olver:1952:SNA, author = "F. W. J. Olver", title = "Some new asymptotic expansions for {Bessel} functions of large orders", journal = j-PROC-CAMBRIDGE-PHIL-SOC, volume = "48", number = "3", pages = "414--427", month = jul, year = "1952", CODEN = "PCPSA4", DOI = "https://doi.org/10.1017/S030500410002781X", ISSN = "0008-1981", ISSN-L = "0008-1981", MRclass = "33.0X", MRnumber = "48638", MRreviewer = "F. Oberhettinger", bibdate = "Sun Nov 5 09:03:34 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", acknowledgement = ack-nhfb, author-dates = "Frank William John Olver (15 December 1924--23 April 2013)", fjournal = "Proceedings of the Cambridge Philosophical Society", journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=PSP", } @Article{Olver:1953:NAE, author = "F. W. J. Olver", title = "Note on the asymptotic expansion of generalized hypergeometric functions", journal = j-J-LOND-MATH-SOC, volume = "28", number = "4", pages = "462--464", month = oct, year = "1953", CODEN = "JLMSAK", DOI = "https://doi.org/10.1112/jlms/s1-28.4.462", ISSN = "0024-6107 (print), 1469-7750 (electronic)", ISSN-L = "0024-6107", MRclass = "33.0X", MRnumber = "56749", MRreviewer = "A. Erd{\'e}lyi", bibdate = "Sun Nov 5 09:03:34 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", acknowledgement = ack-nhfb, author-dates = "Frank William John Olver (15 December 1924--23 April 2013)", fjournal = "The Journal of the London Mathematical Society", journal-URL = "http://jlms.oxfordjournals.org/content/by/year", } @Article{Olver:1954:AEB, author = "F. W. J. Olver", title = "The asymptotic expansion of {Bessel} functions of large order", journal = j-PHILOS-TRANS-R-SOC-LOND-SER-A, volume = "247", pages = "328--368", year = "1954", CODEN = "PTRMAD, PTMSFB", DOI = "https://doi.org/10.1098/rsta.1954.0021", ISSN = "0080-4614 (print), 2054-0272 (electronic)", ISSN-L = "1364-503X", MRclass = "33.0X", MRnumber = "67250", MRreviewer = "N. D. Kazarinoff", bibdate = "Sun Nov 5 09:03:34 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", acknowledgement = ack-nhfb, author-dates = "Frank William John Olver (15 December 1924--23 April 2013)", fjournal = "Philosophical Transactions of the Royal Society of London. Series A. Mathematical and Physical Sciences", journal-URL = "http://rsta.royalsocietypublishing.org/", } @InProceedings{Olver:1954:AEL, author = "F. W. J. Olver", editor = "????", booktitle = "Proceedings of the International Congress of Mathematicians", title = "The asymptotic expansion of {Legendre} functions of large order. {Abstract}", volume = "2", publisher = pub-NORTH-HOLLAND, address = pub-NORTH-HOLLAND:adr, pages = "152--152", year = "1954", bibdate = "Tue Nov 07 06:51:58 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", acknowledgement = ack-nhfb, author-dates = "Frank William John Olver (15 December 1924--23 April 2013)", } @Article{Olver:1954:ASL, author = "F. W. J. Olver", title = "The asymptotic solution of linear differential equations of the second order for large values of a parameter", journal = j-PHILOS-TRANS-R-SOC-LOND-SER-A, volume = "247", pages = "307--327", year = "1954", CODEN = "PTRMAD, PTMSFB", DOI = "https://doi.org/10.1098/rsta.1954.0020", ISSN = "0080-4614 (print), 2054-0272 (electronic)", ISSN-L = "1364-503X", MRclass = "33.0X", MRnumber = "67249", MRreviewer = "N. D. Kazarinoff", bibdate = "Sun Nov 5 09:03:34 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", acknowledgement = ack-nhfb, author-dates = "Frank William John Olver (15 December 1924--23 April 2013)", fjournal = "Philosophical Transactions of the Royal Society of London. Series A. Mathematical and Physical Sciences", journal-URL = "http://rsta.royalsocietypublishing.org/", } @Article{Clenshaw:1955:UEP, author = "C. W. Clenshaw and Frank W. J. Olver", title = "The use of economized polynomials in mathematical tables", journal = j-PROC-CAMBRIDGE-PHIL-SOC, volume = "51", number = "4", pages = "614--628", month = oct, year = "1955", CODEN = "PCPSA4", DOI = "https://doi.org/10.1017/S0305004100030693", ISSN = "0008-1981", ISSN-L = "0008-1981", MRclass = "65.1X", MRnumber = "73304", MRreviewer = "John Todd", bibdate = "Sun Nov 5 09:03:34 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", acknowledgement = ack-nhfb, author-dates = "Charles William Clenshaw (15 March 1926--23 September 2004); Frank William John Olver (15 December 1924--23 April 2013)", fjournal = "Proceedings of the Cambridge Philosophical Society", journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=PSP", } @Article{Olver:1956:ASL, author = "F. W. J. Olver", title = "The asymptotic solution of linear differential equations of the second order in a domain containing one transition point", journal = j-PHILOS-TRANS-R-SOC-LOND-SER-A, volume = "249", pages = "65--97", year = "1956", CODEN = "PTRMAD, PTMSFB", DOI = "https://doi.org/10.1098/rsta.1956.0015", ISSN = "0080-4614 (print), 2054-0272 (electronic)", ISSN-L = "1364-503X", MRclass = "34.0X", MRnumber = "79157", MRreviewer = "N. D. Kazarinoff", bibdate = "Sun Nov 5 09:03:34 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", acknowledgement = ack-nhfb, author-dates = "Frank William John Olver (15 December 1924--23 April 2013)", fjournal = "Philosophical Transactions of the Royal Society of London. Series A. Mathematical and Physical Sciences", journal-URL = "http://rsta.royalsocietypublishing.org/", } @Article{Olver:1956:EAS, author = "F. W. J. Olver", title = "Errors in asymptotic solutions of linear ordinary differential equations", journal = j-QUART-APPL-MATH, volume = "14", pages = "218--219", year = "1956", CODEN = "QAMAAY", DOI = "https://doi.org/10.1090/qam/78520", ISSN = "0033-569X (print), 1552-4485 (electronic)", ISSN-L = "0033-569X", MRclass = "34.0X", MRnumber = "78520", MRreviewer = "N. D. Kazarinoff", bibdate = "Sun Nov 5 09:03:34 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", acknowledgement = ack-nhfb, author-dates = "Frank William John Olver (15 December 1924--23 April 2013)", fjournal = "Quarterly of Applied Mathematics", journal-URL = "http://dl.acm.org/citation.cfm?id=J641; http://www.ams.org/journals/qam", } @Book{Fox:1957:MCM, author = "L. Fox and E. T. Goodwin and J. G. L. Michel and F. W. J. Olver and J. H. Wilkinson", title = "Modern Computing Methods", volume = "16", publisher = pub-HMSO, address = pub-HMSO:adr, pages = "vi + 128", year = "1957", LCCN = "QA297 .T4", bibdate = "Tue Nov 07 08:00:14 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib; https://www.math.utah.edu/pub/bibnet/authors/w/wilkinson-james-hardy.bib", series = "Notes on applied science", acknowledgement = ack-nhfb, author-dates = "Frank William John Olver (15 December 1924--23 April 2013); James H. Wilkinson (27 September 1919--5 October 1986)", xxnote = "TO DO: Check author order", } @Article{Olver:1958:UAE, author = "F. W. J. Olver", title = "Uniform asymptotic expansions of solutions of linear second-order differential equations for large values of a parameter", journal = j-PHILOS-TRANS-R-SOC-LOND-SER-A, volume = "250", pages = "479--517", year = "1958", CODEN = "PTRMAD, PTMSFB", DOI = "https://doi.org/10.1098/rsta.1958.0005", ISSN = "0080-4614 (print), 2054-0272 (electronic)", ISSN-L = "1364-503X", MRclass = "34.00", MRnumber = "94496", MRreviewer = "T. M. Cherry", bibdate = "Sun Nov 5 09:03:34 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", acknowledgement = ack-nhfb, author-dates = "Frank William John Olver (15 December 1924--23 April 2013)", fjournal = "Philosophical Transactions of the Royal Society of London. Series A. Mathematical and Physical Sciences", journal-URL = "http://rsta.royalsocietypublishing.org/", } @Article{Olver:1959:LDE, author = "F. W. J. Olver", title = "Linear differential equations of the second order with a large parameter", journal = j-J-SIAM, volume = "7", number = "3", pages = "306--310", month = sep, year = "1959", CODEN = "JSIMAV", DOI = "https://doi.org/10.1137/0107024", ISSN = "0368-4245 (print), 2168-3484 (electronic)", ISSN-L = "0368-4245", MRclass = "34.00", MRnumber = "114976", MRreviewer = "T. M. Cherry", bibdate = "Sun Nov 5 09:03:34 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib; https://www.math.utah.edu/pub/tex/bib/siam.bib", acknowledgement = ack-nhfb, author-dates = "Frank William John Olver (15 December 1924--23 April 2013)", fjournal = "Journal of the Society for Industrial and Applied Mathematics", journal-URL = "http://epubs.siam.org/loi/smjmap.1", } @Article{Olver:1959:UAE, author = "F. W. J. Olver", title = "Uniform asymptotic expansions for {Weber} parabolic cylinder functions of large orders", journal = j-J-RES-NATL-BUR-STAND-B, volume = "63B", pages = "131--169", year = "1959", CODEN = "JNBBAU", DOI = "https://doi.org/10.6028/jres.063B.014", ISSN = "0022-4340", MRclass = "33.00", MRnumber = "109898", MRreviewer = "N. D. Kazarinoff", bibdate = "Sun Nov 5 09:03:34 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", acknowledgement = ack-nhfb, author-dates = "Frank William John Olver (15 December 1924--23 April 2013)", fjournal = "Journal of Research of the National Bureau of Standards. Section B. Mathematics and Mathematical Physics", journal-URL = "http://www.nist.gov/nvl/jrespastpapers.cfm", } @Article{Ursell:1959:ORC, author = "F. Ursell and F. W. J. Olver", title = "Obituary: {Roger Chapman Thorne}", journal = j-J-AUSTRALIAN-MATH-SOC, volume = "1", number = "2", pages = "255--256", month = feb, year = "1959/61", CODEN = "JAUMAX", DOI = "https://doi.org/10.1017/S144678870002560X", ISSN = "0004-9735 (print), 2059-9234 (electronic)", MRclass = "01.00", MRnumber = "109781", bibdate = "Sun Nov 5 09:03:34 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", acknowledgement = ack-nhfb, ajournal = "J. Austral. Math. Soc.", author-dates = "Frank William John Olver (15 December 1924--23 April 2013)", fjournal = "Journal of the Australian Mathematical Society", } @Book{Clenshaw:1961:MCM, author = "C. W. Clenshaw and E. T. Goodwin and D. W. Martin and G. F. Miller and F. W. J. Olver and J. H. Wilkinson", title = "Modern Computing Methods", volume = "16", publisher = pub-HMSO, address = pub-HMSO:adr, edition = "Second", pages = "vi + 170", year = "1961", LCCN = "QA297 .T4 1961", bibdate = "Tue Nov 07 08:00:14 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib; https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib; https://www.math.utah.edu/pub/bibnet/authors/w/wilkinson-james-hardy.bib", series = "National Physical Laboratory. Notes on Applied Science", acknowledgement = ack-nhfb, author-dates = "Charles William Clenshaw (15 March 1926--23 September 2004); Frank William John Olver (15 December 1924--23 April 2013); James H. Wilkinson (27 September 1919--5 October 1986)", remark = "Reprinted in 1962.", xxnote = "TO DO: Check author order", } @Article{Olver:1961:EBL, author = "F. W. J. Olver", title = "Error bounds for the {Liouville--Green} (or {WKB}) approximation", journal = j-PROC-CAMBRIDGE-PHIL-SOC, volume = "57", number = "4", pages = "790--810", month = oct, year = "1961", CODEN = "PCPSA4", DOI = "https://doi.org/10.1017/S0305004100035945", ISSN = "0008-1981", ISSN-L = "0008-1981", MRclass = "34.50", MRnumber = "130452", MRreviewer = "Walter Gautschi", bibdate = "Sun Nov 5 09:03:34 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", acknowledgement = ack-nhfb, author-dates = "Frank William John Olver (15 December 1924--23 April 2013)", fjournal = "Proceedings of the Cambridge Philosophical Society", journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=PSP", } @Article{Olver:1961:TIP, author = "F. W. J. Olver", title = "Two inequalities for parabolic cylinder functions", journal = j-PROC-CAMBRIDGE-PHIL-SOC, volume = "57", number = "4", pages = "811--822", month = oct, year = "1961", CODEN = "PCPSA4", DOI = "https://doi.org/10.1017/S0305004100035957", ISSN = "0008-1981", ISSN-L = "0008-1981", MRclass = "33.25", MRnumber = "131580", MRreviewer = "N. D. Kazarinoff", bibdate = "Sun Nov 5 09:03:34 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", acknowledgement = ack-nhfb, author-dates = "Frank William John Olver (15 December 1924--23 April 2013)", fjournal = "Proceedings of the Cambridge Philosophical Society", journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=PSP", } @PhdThesis{Olver:1961:U, author = "Frank William John Olver", title = "[unknown]", type = "{D.Sc.} dissertation", school = "Queen Mary University of London", address = "London, UK", year = "1961", bibdate = "Sat Nov 04 17:39:57 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", URL = "https://discover.libraryhub.jisc.ac.uk/search?author=Olver%2C%20F&date=1961&rn=1", acknowledgement = ack-nhfb, author-dates = "Frank William John Olver (15 December 1924--23 April 2013)", remark = "Collection of 20 published papers.", } @Book{Olver:1962:TBF, author = "F. W. J. Olver", title = "Tables for {Bessel} Functions of Moderate or Large Orders", volume = "6", publisher = pub-HMSO, address = pub-HMSO:adr, pages = "iii + 51", year = "1962", MRclass = "65.05 (33.25)", MRnumber = "147676", MRreviewer = "I. A. Stegun", bibdate = "Tue Nov 07 08:32:10 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", series = "National Physical Laboratory Mathematical Tables", acknowledgement = ack-nhfb, author-dates = "Frank William John Olver (15 December 1924--23 April 2013)", } @Article{Olver:1963:EBF, author = "F. W. J. Olver", title = "Error Bounds for First Approximations in Turning-Point Problems", journal = j-J-SIAM, volume = "11", number = "3", pages = "748--772", month = sep, year = "1963", CODEN = "JSIMAV", DOI = "https://doi.org/10.1137/0111057", ISSN = "0368-4245 (print), 2168-3484 (electronic)", ISSN-L = "0368-4245", MRclass = "34.50", MRnumber = "160981", MRreviewer = "N. D. Kazarinoff", bibdate = "Thu Oct 15 18:16:06 MDT 1998", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib; https://www.math.utah.edu/pub/tex/bib/siam.bib; JSTOR database", acknowledgement = ack-nhfb, author-dates = "Frank William John Olver (15 December 1924--23 April 2013)", fjournal = "Journal of the Society for Industrial and Applied Mathematics", journal-URL = "http://epubs.siam.org/loi/smjmap.1", } @Article{Olver:1963:RPS, author = "F. W. J. Olver", title = "Recent Publications: {{\booktitle{A Survey of Numerical Analysis}}}", journal = j-AMER-MATH-MONTHLY, volume = "70", number = "2", pages = "224--225", month = feb, year = "1963", CODEN = "AMMYAE", DOI = "https://doi.org/10.2307/2312919", ISSN = "0002-9890 (print), 1930-0972 (electronic)", ISSN-L = "0002-9890", MRclass = "99-04", MRnumber = "1532039", bibdate = "Sun Nov 5 09:03:34 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", acknowledgement = ack-nhfb, author-dates = "Frank William John Olver (15 December 1924--23 April 2013)", fjournal = "American Mathematical Monthly", journal-URL = "http://www.jstor.org/journals/00029890.html", } @InCollection{Olver:1964:BFI, author = "F. W. J. Olver", title = "{Bessel} Functions of Integer Order", crossref = "Abramowitz:1964:HMF", pages = "355--434", year = "1964", bibdate = "Sat Oct 30 19:37:56 2010", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib; https://www.math.utah.edu/pub/tex/bib/elefunt.bib", acknowledgement = ack-nhfb, author-dates = "Frank William John Olver (15 December 1924--23 April 2013)", citedby = "Fullerton:1980:BEM", } @Article{Olver:1964:EAM, author = "F. W. J. Olver", title = "Error analysis of {Miller}'s recurrence algorithm", journal = j-MATH-COMPUT, volume = "18", number = "85", pages = "65--74", year = "1964", CODEN = "MCMPAF", DOI = "https://doi.org/10.2307/2003406", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65.80", MRnumber = "169406", MRreviewer = "J. C. P. Miller", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", acknowledgement = ack-nhfb, author-dates = "Frank William John Olver (15 December 1924--23 April 2013)", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @InProceedings{Olver:1964:EBAa, author = "F. W. J. Olver", title = "Error bounds for asymptotic expansions, with an application to cylinder functions of large argument", crossref = "Wilcox:1964:ASD", pages = "163--183", year = "1964", bibdate = "Tue Nov 07 06:57:41 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", acknowledgement = ack-nhfb, author-dates = "Frank William John Olver (15 December 1924--23 April 2013)", } @Article{Olver:1964:EBAb, author = "F. W. J. Olver", title = "Error Bounds for Asymptotic Expansions in Turning-Point Problems", journal = j-J-SIAM, volume = "12", number = "1", pages = "200--214", month = mar, year = "1964", CODEN = "JSIMAV", DOI = "https://doi.org/10.1137/0112019", ISSN = "0368-4245 (print), 2168-3484 (electronic)", ISSN-L = "0368-4245", MRclass = "34.50", MRnumber = "163003", MRreviewer = "N. D. Kazarinoff", bibdate = "Thu Oct 15 18:16:06 MDT 1998", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib; https://www.math.utah.edu/pub/tex/bib/siam.bib; JSTOR database", acknowledgement = ack-nhfb, author-dates = "Frank William John Olver (15 December 1924--23 April 2013)", fjournal = "Journal of the Society for Industrial and Applied Mathematics", journal-URL = "http://epubs.siam.org/loi/smjmap.1", } @Article{Olver:1965:ASS, author = "F. W. J. Olver", title = "On the asymptotic solution of second-order differential equations having an irregular singularity of rank one, with an application to {Whittaker} functions", journal = j-SIAM-J-NUM-ANALYSIS-B, volume = "2", number = "2", pages = "225--243", month = jan, year = "1965", DOI = "https://doi.org/10.1137/0702017", ISSN = "0887-459X (print), 2168-3581 (electronic)", ISSN-L = "0887-459X", MRclass = "41.50 (33.00)", MRnumber = "185350", MRreviewer = "T. E. Hull", bibdate = "Sun Nov 5 09:03:34 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", acknowledgement = ack-nhfb, ajournal = "J. Soc. Indust. Appl. Math. Ser. B Numer. Anal.", author-dates = "Frank William John Olver (15 December 1924--23 April 2013)", fjournal = "Journal of the Society for Industrial and Applied Mathematics. Series B. Numerical Analysis", journal-URL = "http://epubs.siam.org/loi/sjnaam.1", } @Article{Olver:1965:BRR, author = "F. W. J. Olver", title = "Book Review: {A. R. Curtis, \booktitle{Coulomb Wave Functions}, Royal Society Mathematical Tables, Volume 11, Cambridge University Press, New York, 1964, xxxv + 209 pp.}", journal = j-MATH-COMPUT, volume = "19", number = "90", pages = "341--342", month = apr, year = "1965", CODEN = "MCMPAF", DOI = "https://doi.org/10.1090/S0025-5718-65-99950-3", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Nov 07 09:52:32 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", URL = "https://www.ams.org/journals/mcom/1965-19-090/S0025-5718-65-99950-3/S0025-5718-65-99950-3.pdf", acknowledgement = ack-nhfb, author-dates = "Frank William John Olver (15 December 1924--23 April 2013)", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Olver:1965:EAPa, author = "F. W. J. Olver", title = "Error analysis of phase-integral methods. {II}. {Application} to wave-penetration problems", journal = j-J-RES-NATL-BUR-STAND-B, volume = "69B", pages = "291--300", year = "1965", CODEN = "JNBBAU", DOI = "https://doi.org/10.6028/jres.069B.029", ISSN = "0022-4340", MRclass = "34.06", MRnumber = "198683", MRreviewer = "A. Dou", bibdate = "Sun Nov 5 09:03:34 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", acknowledgement = ack-nhfb, author-dates = "Frank William John Olver (15 December 1924--23 April 2013)", fjournal = "Journal of Research of the National Bureau of Standards. Section B. Mathematics and Mathematical Physics", journal-URL = "http://www.nist.gov/nvl/jrespastpapers.cfm", } @Article{Olver:1965:EAPb, author = "F. W. J. Olver", title = "Error analysis of phase-integral methods. {I}. {General} theory for simple turning points", journal = j-J-RES-NATL-BUR-STAND-B, volume = "69B", pages = "271--290", year = "1965", CODEN = "JNBBAU", DOI = "https://doi.org/10.6028/jres.069B.028", ISSN = "0022-4340", MRclass = "34.06 (34.50)", MRnumber = "196167", MRreviewer = "W. Wasow", bibdate = "Sun Nov 5 09:03:34 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", acknowledgement = ack-nhfb, author-dates = "Frank William John Olver (15 December 1924--23 April 2013)", fjournal = "Journal of Research of the National Bureau of Standards. Section B. Mathematics and Mathematical Physics", journal-URL = "http://www.nist.gov/nvl/jrespastpapers.cfm", } @InProceedings{Olver:1965:EBAa, author = "F. W. J. Olver", title = "Error bounds for asymptotic expansions of special functions in the complex plane", crossref = "Rall:1965:EDCb", pages = "55--75", year = "1965", MRclass = "41.50 (34.00)", MRnumber = "186992", MRreviewer = "A. Erd{\'e}lyi", bibdate = "Sun Nov 5 09:03:34 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", acknowledgement = ack-nhfb, author-dates = "Frank William John Olver (15 December 1924--23 April 2013)", } @Article{Olver:1965:EBAb, author = "F. W. J. Olver and F. Stenger", title = "Error Bounds for Asymptotic Solutions of Second-Order Differential Equations having an Irregular Singularity of Arbitrary Rank", journal = j-SIAM-J-NUM-ANALYSIS-B, volume = "2", number = "2", pages = "244--249", month = "????", year = "1965", CODEN = "????", DOI = "https://doi.org/10.1137/0702018", ISSN = "0887-459X (print), 2168-3581 (electronic)", ISSN-L = "0887-459X", MRclass = "41.50 (34.00)", MRnumber = "MR0185351 (32 \#2819)", bibdate = "Fri Oct 16 06:57:22 MDT 1998", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib; https://www.math.utah.edu/pub/bibnet/authors/s/stenger-frank.bib; https://www.math.utah.edu/pub/mirrors/ftp.ira.uka.de/bibliography/Math/siamjnumeranal.bib; https://www.math.utah.edu/pub/mirrors/ftp.ira.uka.de/bibliography/Math/SIAMJNUMERANAL/siamjnumeranal.bib; https://www.math.utah.edu/pub/tex/bib/siamjnumeranal.bib; JSTOR database", URL = "http://links.jstor.org/sici?sici=0887-459X(1965)2:2<244:EBFASO>2.0.CO%3B2-N", ZMnumber = "0173.34001", acknowledgement = ack-nhfb, ajournal = "J. Soc. Indust. Appl. Math. Ser. B Numer. Anal.", author-dates = "Frank William John Olver (15 December 1924--23 April 2013)", fjournal = "Journal of the Society for Industrial and Applied Mathematics. Series B. Numerical Analysis", journal-URL = "http://epubs.siam.org/loi/sjnaam.1", ORCID-numbers = "Stenger, Frank/0000-0002-2947-3018", } @InProceedings{Olver:1966:ESF, author = "F. W. J. Olver", editor = "????", booktitle = "Proceedings of {IFIP Congress 65}", title = "Evaluation of special functions", volume = "2", publisher = "Spartan Books", address = "Washington, DC, USA", pages = "604--605", year = "1966", bibdate = "Tue Nov 07 07:04:05 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib; https://www.math.utah.edu/pub/tex/bib/elefunt.bib", acknowledgement = ack-nhfb, author-dates = "Frank William John Olver (15 December 1924--23 April 2013)", } @Book{Bauer:1967:DA, author = "Friedrich L. Bauer and Alston S. Householder and Frank W. J. Olver and Heinz Rutishauser and Klaus Samelson and Eduard Stiefel", title = "Description of {ALGOL 60}", volume = "1a", publisher = pub-SV, address = pub-SV:adr, pages = "xii + 326", year = "1967", DOI = "https://doi.org/10.1007/978-3-642-86934-1; https://doi.org/10.1007/978-3-662-38103-8", ISBN = "3-540-03826-4, 3-642-86934-3 (e-book), 3-642-86936-X (print), 3-662-38103-6", ISBN-13 = "978-3-540-03826-9, 978-3-642-86934-1 (e-book), 978-3-642-86936-5 (print), 978-3-662-38103-8", LCCN = "QA76.5 .R87", bibdate = "Fri Aug 21 08:00:06 MDT 2020", bibsource = "fsz3950.oclc.org:210/WorldCat; https://www.math.utah.edu/pub/bibnet/authors/b/bauer-friedrich-ludwig.bib; https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib; https://www.math.utah.edu/pub/bibnet/authors/r/rutishauser-heinz.bib; https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib", series = "Handbook for Automatic Computation", URL = "http://link.springer.com/article/10.1007/978-3-642-86934-1; http://www.springerlink.com/content/978-3-642-86934-1", abstract = "Automatic computing has undergone drastic changes since the pioneering days of the early Fifties, one of the most obvious being that today the majority of computer programs are no longer written in machine code but in some programming language like FORTRAN or ALGOL. However, as desirable as the time-saving achieved in this way may be, still a high proportion of the preparatory work must be attributed to activities such as error estimates, stability investigations and the like, and for these no programming aid whatsoever can be of help. In this respect, ALGOL, as an internationally standardized notation which avoids computer-oriented concepts, provides another advantage, not often mentioned, but one which was already the guiding principle at the very beginning of the programming language venture: indeed, a correct ALGOL program is the abstractum of a computing process for which the necessary analyses have already been performed. It is the very purpose of this Handbook to establish such abstract formulations of certain computing processes. Therefore, numerical methods given in this Handbook in the form of ALGOL procedures may be put to immediate use wherever ALGOL is known and understood; in fact, application of such a method reduces to little more than calling the corresponding procedure.", acknowledgement = ack-nhfb, author-dates = "Alston Scott Householder (1904--1993); Frank William John Olver (15 December 1924--23 April 2013); Friedrich (``Fritz'') Ludwig Bauer (10 June 1924--26 March 2015)", tableofcontents = "IL Introduction \\ 1. The Concept of Automatic Programming \\ 2. Historical Remarks on Algorithmic Languages \\ 3. The Algol Conferences of 1958, 1960, 1962 \\ 4. Algol Dialects and the IFIP Subset of Algol 60 \\ 5. Preliminary Definition of Algol \\ II: Basic Concepts \\ 6. Auxiliary Conventions \\ 7. The Basic Symbols of Algol \\ 8. Values \\ 9. Quantities and their Names \\ 10. Numerical Constants \\ 11. Labels \\ 12. Strings \\ 13. Comments \\ III: Expressions \\ 14. Variables \\ 15. Function Designators \\ 16. Simple Arithmetic Expressions \\ 17. Relations \\ 18. Simple Boolean Expressions \\ 19. Conditional Expressions \\ 20. Subscript Expressions \\ IV: Statements \\ 21. Assignment Statements \\ 22. Sequences of Statements \\ 23. Labelled Statements \\ 24. The Dummy Statement \\ 25. Goto-Statements \\ 26. Procedure Statements I \\ 27. Compound Statements and Blocks \\ 28. The If-Statement \\ 29. The If-Else-Statement \\ 30. The For-Statement \\ V: Miscellaneous Applications \\ 31. Algebraic Problems \\ 32. Interpolation and Numerical Quadrature \\ 33. Numerical Integration of Differential Equations \\ 34. Least Square Problems \\ 35. Computations Related to Continued Fractions \\ 36. Considerations Concerning Computer Limitations \\ 37. Data Processing Applications \\ VI: Declarations \\ 38. Type Declarations \\ 39. Array Declarations \\ 40. Switch Declarations \\ 41. Procedure Declarations I \\ 42. Semantics of Blocks \\ 43. Entire Programs \\ VII: Procedures \\ 44. Procedure Declarations II \\ 45. Procedure Statements II \\ 46. Function Procedures and their Use \\ 47. Code Procedures \\ 48. Parameter Procedures \\ VIII: Input and Output \\ 49. The Standard I/O-Procedures of Algol \\ 50. Applications of Procedures insymbol, outsymbol \\ 51. Use of inarray, outarray for Auxiliary Storage \\ Appendix A \\ 52. The Jensen Device \\ 52.1. The full name-concept \\ 52.2. The Jensen device \\ 52.3. Bound variables \\ 53. Conclusion \\ 53.1. Church's lambda notation \\ 53.2. The lambda notation for arrays \\ 53.3. Syntax of the proposed extension \\ 53.4. Semantics of the proposed extension \\ 53.5. Applications of the proposed extension \\ Appendix B. The IFIP-Reports on Algol \\ References", xxseries = "Die Grundlehren der mathematischen Wissenschaften", } @Article{Olver:1967:BRA, author = "F. W. J. Olver", title = "Book Review: {{\booktitle{Asymptotic Expansions}}, by H. A. Lauwerier: Mathematisch Centrum, Amsterdam, 1966}", journal = j-QUART-APPL-MATH, volume = "25", number = "1", pages = "117--117", year = "1967", CODEN = "QAMAAY", ISSN = "0033-569X (print), 1552-4485 (electronic)", ISSN-L = "0033-569X", bibdate = "Tue Nov 07 09:57:29 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", URL = "https://www.ams.org/journals/qam/1967-25-01/qam-25-1-print-matter.pdf", acknowledgement = ack-nhfb, author-dates = "Frank William John Olver (15 December 1924--23 April 2013)", fjournal = "Quarterly of Applied Mathematics", journal-URL = "http://dl.acm.org/citation.cfm?id=J641; http://www.ams.org/journals/qam", remark = "Article is missing from journal Web site, and thus, has no DOI. The PDF file, however, has the text.", } @Article{Olver:1967:BSS, author = "F. W. J. Olver", title = "Bounds for the solutions of second-order linear difference equations", journal = j-J-RES-NATL-BUR-STAND-B, volume = "71B", pages = "161--166", year = "1967", CODEN = "JNBBAU", DOI = "https://doi.org/10.6028/jres.071B.021", ISSN = "0022-4340", MRclass = "65.70", MRnumber = "229407", MRreviewer = "Charles William Clenshaw", bibdate = "Sun Nov 5 09:03:34 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", acknowledgement = ack-nhfb, author-dates = "Frank William John Olver (15 December 1924--23 April 2013)", fjournal = "Journal of Research of the National Bureau of Standards. Section B. Mathematics and Mathematical Physics", journal-URL = "http://www.nist.gov/nvl/jrespastpapers.cfm", reviewer-dates = "Charles William Clenshaw (15 March 1926--23 September 2004)", } @Article{Olver:1967:EMA, author = "F. W. J. Olver", title = "An extension of {Miller}'s algorithm", journal = j-APL-MAT, volume = "13", pages = "174--176", year = "1967", CODEN = "APMTAK", ISSN = "0373-6725", MRclass = "65.70 (39.00)", MRnumber = "228207", MRreviewer = "Walter Gautschi", bibdate = "Sun Nov 5 09:03:34 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", acknowledgement = ack-nhfb, author-dates = "Frank William John Olver (15 December 1924--23 April 2013)", fjournal = "{\v{C}}eskoslovensk{\'a} Akademie V{\v{e}}d. Aplikace Matematiky", } @Article{Olver:1967:NSS, author = "F. W. J. Olver", title = "Numerical solution of second-order linear difference equations", journal = j-J-RES-NATL-BUR-STAND-B, volume = "71B", number = "2--3", pages = "111--129", month = apr, year = "1967", CODEN = "JNBBAU", DOI = "https://doi.org/10.6028/jres.071B.018", ISSN = "0022-4340", MRclass = "65.70", MRnumber = "221789", MRreviewer = "G. N. Lance", bibdate = "Sun Nov 5 09:03:34 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib; https://www.math.utah.edu/pub/tex/bib/elefunt.bib", URL = "https://nvlpubs.nist.gov/nistpubs/jres/71B/jresv71Bn2-3p111_A1b.pdf", abstract = "A new algorithm is given for computing the solution of any second-order linear difference equation which is applicable when simple recurrence procedures cannot be used because of instability. Compared with the well-known Miller algorithm the new method has the advantages of (i) automatically determining the correct number of recurrence steps. (ii) applying to inhomogeneous difference equations, (iii) enabling more powerful error analyses to be constructed.\par The method is illustrated by numerical computations, including error analyses of Anger--Weber, Struve, and Bessel functions, and the solution of a differential equation in Chebyshev series", acknowledgement = ack-nhfb, author-dates = "Frank William John Olver (15 December 1924--23 April 2013)", fjournal = "Journal of Research of the National Bureau of Standards. Section B. Mathematics and Mathematical Physics", journal-URL = "http://www.nist.gov/nvl/jrespastpapers.cfm", keywords = "Chebyshev series; difference equations; error analysis; Miller algorithm. recurrence methods; special functions", } @Article{Olver:1968:EBL, author = "F. W. J. Olver", title = "Error bounds for the {Laplace} approximation for definite integrals", journal = j-J-APPROX-THEORY, volume = "1", pages = "293--313", year = "1968", CODEN = "JAXTAZ", DOI = "https://doi.org/10.1016/0021-9045(68)90007-5", ISSN = "0021-9045 (print), 1096-0430 (electronic)", ISSN-L = "0021-9045", MRclass = "41.50", MRnumber = "234183", MRreviewer = "L. Berg", bibdate = "Sun Nov 5 09:03:34 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", acknowledgement = ack-nhfb, author-dates = "Frank William John Olver (15 December 1924--23 April 2013)", fjournal = "Journal of Approximation Theory", journal-URL = "http://www.sciencedirect.com/science/journal/00219045", } @Book{Fox:1970:MCM, author = "L. Fox and E. T. Goodwin and J. G. L. Michel and F. W. J. Olver and J. H. Wilkinson", title = "Modern Computing Methods", volume = "16", publisher = pub-HMSO, address = pub-HMSO:adr, edition = "Second", pages = "vii + 169", year = "1970", ISBN = "0-11-480021-9", ISBN-13 = "978-0-11-480021-5", LCCN = "QA297 .T4 1970", bibdate = "Wed Nov 15 11:52:41 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/f/fox-leslie.bib; https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib; https://www.math.utah.edu/pub/bibnet/authors/w/wilkinson-james-hardy.bib", series = "NPL Notes on Applied Science", acknowledgement = ack-nhfb, author-dates = "Frank William John Olver (15 December 1924--23 April 2013); James H. Wilkinson (27 September 1919--5 October 1986); Leslie Fox (30 September 1918--1 August 1992)", subject = "Numerical analysis; Equations; Numerical solutions; Computers; Analyse num{\'e}rique; {\'E}quations; Solutions num{\'y}eriques; Ordinateurs", tableofcontents = "TO DO: find this!", } @Article{Olver:1970:PA, author = "F. W. J. Olver", title = "A paradox in asymptotics", journal = j-SIAM-J-MATH-ANA, volume = "1", number = "4", pages = "533--534", month = nov, year = "1970", CODEN = "SJMAAH", DOI = "https://doi.org/10.1137/0501047", ISSN = "0036-1410 (print), 1095-7154 (electronic)", ISSN-L = "0036-1410", MRclass = "41.50", MRnumber = "277976", MRreviewer = "L. Hoischen", bibdate = "Sun Nov 5 09:03:34 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", acknowledgement = ack-nhfb, author-dates = "Frank William John Olver (15 December 1924--23 April 2013)", fjournal = "SIAM Journal on Mathematical Analysis", journal-URL = "http://epubs.siam.org/sima", } @Article{Olver:1970:WSDa, author = "F. W. J. Olver", title = "Why steepest descents?", journal = j-SIAM-REVIEW, volume = "12", pages = "228--247", year = "1970", CODEN = "SIREAD", DOI = "https://doi.org/10.1137/1012044", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", MRclass = "41.50", MRnumber = "259456", MRreviewer = "L. Berg", bibdate = "Sun Nov 5 09:03:34 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", acknowledgement = ack-nhfb, author-dates = "Frank William John Olver (15 December 1924--23 April 2013)", fjournal = "SIAM Review. A Publication of the Society for Industrial and Applied Mathematics", journal-URL = "http://epubs.siam.org/sirev", } @InProceedings{Olver:1970:WSDb, author = "F. W. J. Olver", title = "Why steepest descents?", crossref = "Ludwig:1970:SAM", pages = "44--63", year = "1970", bibdate = "Tue Nov 07 04:59:35 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", acknowledgement = ack-nhfb, author-dates = "Frank William John Olver (15 December 1924--23 April 2013)", remark = "Reprint of \cite{Olver:1970:WSDa}.", } @Article{Olver:1972:BRS, author = "Frank W. J. Olver", title = "Book Review: {{\booktitle{The Special Functions and Their Approximations}} (Vols. I {\&} II Yudell L. Luke)}", journal = j-SIAM-REVIEW, volume = "14", number = "1", pages = "181--183", month = "????", year = "1972", CODEN = "SIREAD", DOI = "https://doi.org/10.1137/1014020", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Thu Mar 27 09:06:35 MDT 2014", bibsource = "http://epubs.siam.org/toc/siread/14/1; https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib; https://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, author-dates = "Frank William John Olver (15 December 1924--23 April 2013)", fjournal = "SIAM Review", journal-URL = "http://epubs.siam.org/sirev", onlinedate = "January 1972", } @Article{Olver:1972:NBR, author = "F. W. J. Olver and D. J. Sookne", title = "Note on Backward Recurrence Algorithms", journal = j-MATH-COMPUT, volume = "26", number = "120", pages = "941--947", month = oct, year = "1972", CODEN = "MCMPAF", DOI = "https://doi.org/10.2307/2005879", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65Q05 (33A40)", MRnumber = "331826", MRreviewer = "Walter Gautschi", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib; https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, author-dates = "Frank William John Olver (15 December 1924--23 April 2013)", classcodes = "B0290Z (Other numerical methods); C4190 (Other numerical methods)", corpsource = "Univ. Maryland, College Park, MD, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "backward recurrence algorithms; Bessel; Bessel functions; difference equations; functions; recessive solution; second order linear difference equation", treatment = "T Theoretical or Mathematical", } @InCollection{Olver:1974:AM, author = "F. W. J. Olver", editor = "C. E. Pearson", booktitle = "Handbook of Applied Mathematics", title = "Asymptotic methods", publisher = pub-VAN-NOSTRAND-REINHOLD, address = pub-VAN-NOSTRAND-REINHOLD:adr, pages = "645--710", year = "1974", bibdate = "Tue Nov 07 08:37:20 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", acknowledgement = ack-nhfb, author-dates = "Frank William John Olver (15 December 1924--23 April 2013)", } @Book{Olver:1974:ASF, author = "F. W. J. Olver", title = "Asymptotics and Special Functions", publisher = pub-ACADEMIC, address = pub-ACADEMIC:adr, pages = "xvi + 572", year = "1974", DOI = "https://doi.org/10.1016/C2013-0-11254-8", ISBN = "0-12-525850-X", ISBN-13 = "978-0-12-525850-0", LCCN = "QA351 .O481 1974", MRclass = "41A60", MRnumber = "435697", MRreviewer = "Norman Bleistein", bibdate = "Wed Dec 15 10:40:06 1993", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib; https://www.math.utah.edu/pub/tex/bib/master.bib", series = "Computer Science and Applied Mathematics", acknowledgement = ack-nhfb, author-dates = "Frank William John Olver (15 December 1924--23 April 2013)", shorttableofcontents = "Preface / xv \\ 1: Introduction to Asymptotic Analysis \\ 2: Introduction to Special Functions \\ 3: Integrals of a Real Variable \\ 4: Contour Integrals \\ 5: Differential Equations with Regular Singularities; Hypergeometric and Legendre Functions \\ 6: The Liouville--Green Approximation \\ 7: Differential Equations with Irregular Singularities; Bessel and Confluent Hypergeometric Functions \\ 8: Sums and Sequences \\ 9: Integrals: Further Methods \\ 10: Differential Equations with a Parameter: Expansions in Elementary Functions \\ 11: Differential Equations with a Parameter: Turning Points \\ 12: Differential Equations with a Parameter: Simple Poles and Other Transition Points \\ 13: Connection Formulas for Solutions of Differential Equations \\ 14: Estimation of Remainder Terms \\ Answers to Exercises / 545 \\ References / 548 \\ Index of Symbols / 561 \\ General Index / 563", subject = "Functions, Special; Asymptotic expansions; Differential equations; Numerical solutions; Fonctions sp{\'e}ciales; D{\'e}veloppements asymptotiques; {\'E}quations diff{\'e}rentielles; Solutions num{\'e}riques; Asymptotic expansions; Numerical solutions; Functions, Special; Reeksontwikkelingen; Asymptotisch gedrag; Differentiaalvergelijkingen; Asymptotik; Asymptotische Entwicklung; Differentialgleichung; Numerisches Verfahren; Spezielle Funktion.", tableofcontents = "Preface / xv \\ 1: Introduction to Asymptotic Analysis / 1 \\ 1 Origin of Asymptotic Expansions / 4 \\ 2 The Symbols $\sim$, $o$, and $0$ / 6 \\ 3 The Symbols $\sim$, $o$, and $O$ (continued) / 8 \\ 4 Integration and Differentiation of Asymptotic and Order Relations / 11 \\ 5 Asymptotic Solution of Transcendental Equations: Real Variables / 14 \\ 6 Asymptotic Solution of Transcendental Equations: Complex Variables / 16 \\ 7 Definition and Fundamental Properties of Asymptotic Expansions / 19 \\ 8 Operations with Asymptotic Expansions / 22 \\ 9 Functions Having Prescribed Asymptotic Expansions / 24 \\ 10 Generalizations of Poincar{\'e}'s Definition / 27 \\ 11 Error Analysis; Variational Operator Historical Notes and Additional References / 29 \\ 2: Introduction to Special Functions \\ 1 The Gamma Function / 31 \\ 2 The Psi Function / 39 \\ 3 Exponential, Logarithmic, Sine, and Cosine Integrals / 40 \\ 4 Error Functions, Dawson's Integral, and Fresnel Integrals / 43 \\ 5 Incomplete Gamma Functions / 45 \\ 6 Orthogonal Polynomials / 46 \\ 7 The Classical Orthogonal Polynomials / 48 \\ 8 The Airy Integral / 53 \\ 9 The Bessel Function $J_\nu(z)$ / 55 \\ 1O The Modified Bessel Function $I_\nu(z)$ / 60 \\ 11 The Zeta Function / 61 \\ Historical Notes and Additional References / 64 \\ 3: Integrals of a Real Variable \\ 1 Integration by Parts / 66 \\ 2 Laplace Integrals / 67 \\ 3 Watson's Lemma / 71 \\ 4 The Riemann--Lebesgue Lemma / 73 \\ 5 Fourier Integrals / 75 \\ 6 Examples; Cases of Failure / 76 \\ 7 Laplace's Method / 80 \\ 8 Asymptotic Expansions by Laplace's Method; Gamma Function of Large Argument / 85 \\ 9 Error Bounds for Watson's Lemma and Laplace's Method / 89 \\ 10 Examples / 92 \\ 11 The Method of Stationary Phase / 96 \\ 12 Preliminary Lemmas / 98 \\ 13 Asymptotic Nature of the Stationary Phase Approximation / 100 \\ 14 Asymptotic Expansions by the Method of Stationary Phase / 104 \\ Historical Notes and Additional References / 104 \\ 4: Contour Integrals \\ 1 Laplace Integrals with a Complex Parameter / 106 \\ 2 Incomplete Gamma Functions of Complex Argument / 109 \\ 3 Watson's Lemma / 112 \\ 4 Airy Integral of Complex Argument; Compound Asymptotic Expansions / 116 \\ 5 Ratio of Two Gamma Functions; Watson's Lemma for Loop Integrals / 118 \\ 6 Laplace's Method for Contour Integrals / 121 \\ 7 Saddle Points / 125 \\ 8 Examples / 127 \\ 9 Bessel Functions of Large Argument and Order / 130 \\ 10 Error Bounds for Laplace's Method; the Method of Steepest Descents / 135 \\ Historical Notes and Additional References / 137 \\ 5: Differential Equations with Regular Singularities; Hypergeometric and Legendre Functions \\ Existence Theorems for Linear Differential Equations: Real Variables / 139 \\ 2 Equations Containing a Real or Complex Parameter / 143 \\ 3 Existence Theorems for Linear Differential Equations: Complex Variables / 145 \\ 4 Classification of Singularities; Nature of the Solutions in the Neighborhood of a Regular Singularity / 148 \\ 5 Second Solution When the Exponents Differ by an Integer or Zero / 150 \\ 6 Large Values of the Independent Variable / 153 \\ 7 Numerically Satisfactory Solutions / 154 \\ 8 The Hypergeometric Equation / 156 \\ 9 The Hypergeometric Function / 159 \\ 10 Other Solutions of the Hypergeometric Equation / 163 \\ 11 Generalized Hypergeometric Functions / 168 \\ 12 The Associated Legendre Equation / 169 \\ 13 Legendre Functions of General Degree and Order / 174 \\ 14 Legendre Functions of Integer Degree and Order / 180 \\ 15 Ferrers Functions / 185 \\ Historical Notes and Additional References / 189 \\ 6: The Liouville--Green Approximation \\ 1 The Liouville Transformation / 190 \\ 2 Error Bounds: Real Variables / 193 \\ 3 Asymptotic Properties with Respect to the Independent Variable / 197 \\ 4 Convergence of ${\cal V}(F)$ at a Singularity / 200 \\ 5 Asymptotic Properties with Respect to Parameters / 203 \\ 6 Example: Parabolic Cylinder Functions of Large Order / 206 \\ 7 A Special Extension / 208 \\ 8 Zeros / 211 \\ 9 Eigenvalue Problems / 214 \\ 10 Theorems on Singular Integral Equations / 217 \\ 11 Error Bounds: Complex Variables / 220 \\ 12 Asymptotic Properties for Complex Variables / 223 \\ 13 Choice of Progressive Paths / 224 \\ Historical Notes and Additional References / 228 \\ 7: Differential Equations with Irregular Singularities; Bessel \\ and Confluent Hypergeometric Functions \\ 1 Formal Series Solutions / 229 \\ 2 Asymptotic Nature of the Formal Series / 232 \\ 3 Equations Containing a Parameter / 236 \\ 4 Hankel Functions; Stokes' Phenomenon / 237 \\ 5 The Function $Y_\nu(z)$ / 241 \\ 6 Zeros of $J_\nu(z)$ / 244 \\ 7 Zeros of $Y_\nu(z)$ and Other Cylinder Functions / 248 \\ 8 Modified Bessel Functions / 250 \\ 9 Confluent Hypergeometric Equation / 254 \\ 10 Asymptotic Solutions of the Confluent Hypergeometric \\ Equation '/ 256 \\ 11 Whittaker Functions / 260 \\ 12 Error Bounds for the Asymptotic Solutions in the General Case / 262 \\ 13 Error Bounds for Hankel's Expansions / 266 \\ 14 Inhomogeneous Equations / 270 \\ 15 Struve's Equation / 274 \\ Historical Notes and Additional References / 277 \\ 8: Sums and Sequences \\ 1 The Euler--Maclaurin Formula and Bernoulli's Polynomials / 279 \\ 2 Applications / 284 \\ 3 Contour Integral for the Remainder Term / 289 \\ 4 Stirling's Series for In r(z) / 293 \\ 5 Summation by Parts / 295 \\ 6 Barnes' Integral for the Hypergeometric Function / 299 \\ 7 Further Examples / 302 \\ 8 Asymptotic Expansions of Entire Functions / 307 \\ 9 Coefficients in a Power-Series Expansion; Method of Darboux / 309 \\ 10 Examples / 311 \\ 11 Inverse Laplace Transforms; Haar's Method / 315 \\ Historical Notes and Additional References / 321 \\ 9: Integrals: Further Methods \\ 1 Logarithmic Singularities / 322 \\ 2 Generalizations of Laplace's Method / 325 \\ 3 Example from Combinatoric Theory / 329 \\ 4 Generalizations of Laplace's Method (continued) / 331 \\ 5 Examples / 334 \\ 6 More General Kernels / 336 \\ 7 Nicholson's Integral for J;(z) + Y;(z) / 340 \\ 8 Oscillatory Kernels / 342 \\ 9 Bleistein's Method / 344 \\ 10 Example / 346 \\ 11 The Method of Chester, Friedman, and Ursell / 351 \\ 12 Anger Functions of Large Order / 352 \\ 13 Extension of the Region of Validity / 358 \\ Historical Notes and Additional References / 361 \\ 10: Differential Equations with a Parameter: Expansions in Elementary Functions \\ 1 Classification and Preliminary Transformations / 362 \\ 2 Case I: Formal Series Solutions / 364 \\ 3 Error Bounds for the Formal Solutions / 366 \\ 4 Behavior of the Coefficients at a Singularity / 368 \\ 5 Behavior of the Coefficients at a Singularity (continued) / 369 \\ 6 Asymptotic Properties with Respect to the Parameter / 371 \\ 7 Modified Bessel Functions of Large Order / 374 \\ 8 Extensions of the Regions of Validity for the Expansions of the Modified Bessel Functions / 378 \\ 9 More General Forms of Differential Equation / 382 \\ 10 Inhomogeneous Equations / 386 \\ 11 Example: An Inhomogeneous Form of the Modified Bessel Equation / 388 \\ Historical Notes and Additional References / 391 \\ 11: Differential Equations with a Parameter: Turning Points \\ 1 Airy Functions of Real Argument / 392 \\ 2 Auxiliary Functions for Real Variables / 394 \\ 3 The First Approximation / 397 \\ 4 Asymptotic Properties of the Approximation; Whittaker Functions with $m$ Large / 401 \\ 5 Real Zeros of the Airy Functions / 403 \\ 6 Zeros of the First Approximation / 405 \\ 7 Higher Approximations / 408 \\ 8 Airy Functions of Complex Argument / 413 \\ 9 Asymptotic Approximations for Complex Variables / 416 \\ 10 Bessel Functions of Large Order / 419 \\ 11 More General Form of Differential Equation / 426 \\ 12 Inhomogeneous Equations / 429 \\ Historical Notes and Additional References / 433 \\ 12: Differential Equations with a Parameter: Simple Poles and Other Transition Points \\ 1 Bessel Functions and Modified Bessel Functions of Real Order and Argument / 435 \\ 2 Case III: Formal Series Solutions / 438 \\ 3 Error Bounds: Positive C / 440 \\ 4 Error Bounds: Negative C / 443 \\ 5 Asymptotic Properties of the Expansions / 447 \\ 6 Determination of Phase Shift / 449 \\ 7 Zeros / 451 \\ 8 Auxiliary Functions for Complex Arguments / 453 \\ 9 Error Bounds: Complex u and C / 457 \\ 10 Asymptotic Properties for Complex Variables / 460 \\ 11 Behavior of the Coefficients at Infinity / 462 \\ 12 Legendre Functions of Large Degree: Real Arguments / 463 \\ 13 Legendre Functions of Large Degree: Complex Arguments / 470 \\ 14 Other Types of Transition Points / 474 \\ Historical Notes and Additional References / 478 \\ 13: Connection Formulas for Solutions of Differential Equations \\ 1 Introduction / 480 \\ 2 Connection Formulas at a Singularity / 480 \\ 3 Differential Equations with a Parameter / 482 \\ 4 Connection Formula for Case III / 483 \\ 5 Application to Simple Poles / 487 \\ 6 Example: The Associated Legendre Equation / 490 \\ 7 The Gans--Jeffreys Formulas: Real-Variable Method / 491 \\ 8 Two Turning Points / 494 \\ 9 Bound States / 497 \\ 10 Wave Penetration through a Barrier. I / 501 \\ 11 Fundamental Connection Formula for a Simple Turning Point in the Complex Plane / 503 \\ 12 Example: Airy's Equation / 507 \\ 13 Choice of Progressive Paths / 508 \\ 14 The Gans--Jeffreys Formulas: Complex-Variable Method / 510 \\ 15 Wave Penetration through a Barrier. II / 513 \\ Historical Notes and Additional References / 516 \\ 14: Estimation of Remainder Terms \\ 1 Numerical Use of Asymptotic Approximations / 519 \\ 2 Converging Factors / 522 \\ 3 Exponential Integral / 523 \\ 4 Exponential Integral (continued) / 527 \\ 5 Confluent Hypergeometric Function / 531 \\ 6 Euler's Transformation / 536 \\ 7 Application to Asymptotic Expansions / 540 \\ Historical Notes and Additional References / 543 \\ Answers to Exercises / 545 \\ References / 548 \\ Index of Symbols / 561 \\ General Index / 563", } @Article{Olver:1974:EBS, author = "F. W. J. Olver", title = "Error bounds for stationary phase approximations", journal = j-SIAM-J-MATH-ANA, volume = "5", number = "1", pages = "19--29", month = feb, year = "1974", CODEN = "SJMAAH", DOI = "https://doi.org/10.1137/0505003", ISSN = "0036-1410 (print), 1095-7154 (electronic)", ISSN-L = "0036-1410", MRclass = "41A60", MRnumber = "333545", MRreviewer = "L. Berg", bibdate = "Sun Nov 5 09:03:34 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", acknowledgement = ack-nhfb, author-dates = "Frank William John Olver (15 December 1924--23 April 2013)", fjournal = "SIAM Journal on Mathematical Analysis", journal-URL = "http://epubs.siam.org/sima", } @Article{Olver:1975:LFB, author = "F. W. J. Olver", title = "{Legendre} functions with both parameters large", journal = j-PHILOS-TRANS-R-SOC-LOND-SER-A, volume = "278", pages = "175--185", year = "1975", CODEN = "PTRMAD, PTMSFB", DOI = "https://doi.org/10.1098/rsta.1975.0024", ISSN = "0080-4614 (print), 2054-0272 (electronic)", ISSN-L = "1364-503X", MRclass = "34E20 (33A45)", MRnumber = "369845", MRreviewer = "P. F. Hsieh", bibdate = "Sun Nov 5 09:03:34 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", acknowledgement = ack-nhfb, author-dates = "Frank William John Olver (15 December 1924--23 April 2013)", fjournal = "Philosophical Transactions of the Royal Society of London. Series A. Mathematical and Physical Sciences", journal-URL = "http://rsta.royalsocietypublishing.org/", } @InProceedings{Olver:1975:REA, author = "F. W. J. Olver", editor = "Henry Albert Antosiewicz", booktitle = "{International Conference on Differential Equations: proceedings of an international conference on differential equations held at the University of Southern California [Los Angeles], September 3--7, 1974}", title = "Recent error analysis of asymptotic solutions of linear differential equations", publisher = pub-ACADEMIC, address = pub-ACADEMIC:adr, bookpages = "xix + 834", pages = "636--645", year = "1975", DOI = "https://doi.org/10.1016/B978-0-12-059650-8.50051-X", ISBN = "0-12-059650-4, 1-4832-5913-7 (e-book)", ISBN-13 = "978-0-12-059650-8, 978-1-4832-5913-0 (e-book)", LCCN = "QA371 .I54 1974", MRclass = "34E20", MRnumber = "425281", MRreviewer = "P. F. Hsieh", bibdate = "Sun Nov 5 09:03:34 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", acknowledgement = ack-nhfb, author-dates = "Frank William John Olver (15 December 1924--23 April 2013)", } @Article{Olver:1975:SOL, author = "F. W. J. Olver", title = "Second-order linear differential equations with two turning points", journal = j-PHILOS-TRANS-R-SOC-LOND-SER-A, volume = "278", pages = "137--174", year = "1975", CODEN = "PTRMAD, PTMSFB", DOI = "https://doi.org/10.1098/rsta.1975.0023", ISSN = "0080-4614 (print), 2054-0272 (electronic)", ISSN-L = "1364-503X", MRclass = "34E20", MRnumber = "369844", MRreviewer = "P. F. Hsieh", bibdate = "Sun Nov 5 09:03:34 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", acknowledgement = ack-nhfb, author-dates = "Frank William John Olver (15 December 1924--23 April 2013)", fjournal = "Philosophical Transactions of the Royal Society of London. Series A. Mathematical and Physical Sciences", journal-URL = "http://rsta.royalsocietypublishing.org/", } @InProceedings{Olver:1975:UPA, author = "F. W. J. Olver", booktitle = "Theory and application of special functions ({Proceedings of an Advanced Seminar Sponsored by the Mathematics Research Center, the University of Wisconsin--Madison, March 31--April 2, 1975})", title = "Unsolved problems in the asymptotic estimation of special functions", publisher = pub-ACADEMIC, address = pub-ACADEMIC:adr, pages = "99--142", year = "1975", DOI = "https://doi.org/10.1016/B978-0-12-064850-4.50006-9", MRclass = "41A60 (33-XX)", MRnumber = "393977", MRreviewer = "Archibald Brown", bibdate = "Sun Nov 5 09:03:34 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", acknowledgement = ack-nhfb, author-dates = "Frank William John Olver (15 December 1924--23 April 2013)", } @Article{Olver:1976:IEB, author = "F. W. J. Olver", title = "Improved error bounds for second-order differential equations with two turning points", journal = j-J-RES-NATL-BUR-STAND-B, volume = "80B", number = "4", pages = "437--440", year = "1976", CODEN = "JNBBAU", DOI = "https://doi.org/10.6028/jres.080B.047", ISSN = "0022-4340", MRclass = "65L05", MRnumber = "448907", MRreviewer = "Peter Deuflhard", bibdate = "Sun Nov 5 09:03:34 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", acknowledgement = ack-nhfb, author-dates = "Frank William John Olver (15 December 1924--23 April 2013)", fjournal = "Journal of Research of the National Bureau of Standards. Section B. Mathematics and Mathematical Physics", journal-URL = "http://www.nist.gov/nvl/jrespastpapers.cfm", } @InProceedings{Olver:1976:UAE, author = "F. W. J. Olver", editor = "R. E. {O'Malley, Jr.}", booktitle = "Asymptotic methods and singular perturbations ({Proceedings of the SIAM-AMS Symposium on Applied Mathematics, New York, 1976})", title = "Uniform asymptotic expansions and singular perturbations", volume = "X", publisher = pub-AMS, address = pub-AMS:adr, pages = "105--117", year = "1976", MRclass = "34E20", MRnumber = "508640", bibdate = "Sun Nov 5 09:03:34 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", series = "SIAM-AMS Proc.", acknowledgement = ack-nhfb, author-dates = "Frank William John Olver (15 December 1924--23 April 2013)", } @Article{Glasser:1977:ABI, author = "M. L. Glasser and F. W. J. Olver", title = "Asymptotic behaviour of integrals of {Bessel} functions of high order", journal = j-UTIL-MATH, volume = "12", pages = "225--239", year = "1977", CODEN = "UTMADA", ISSN = "0315-3681", ISSN-L = "0315-3681", MRclass = "33A40", MRnumber = "477196", MRreviewer = "Friederich Goetze", bibdate = "Sun Nov 5 09:03:34 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", URL = "https://combinatorialpress.com/um/arch/vol12/", acknowledgement = ack-nhfb, author-dates = "Frank William John Olver (15 December 1924--23 April 2013)", fjournal = "Utilitas Mathematica. An International Journal of Discrete and Combinatorial Mathematics, and Statistical Design", journal-URL = "https://www.combinatorialmath.ca/utilitas/", } @Article{Olver:1977:CFSa, author = "F. W. J. Olver", title = "Connection formulas for second-order differential equations having an arbitrary number of turning points of arbitrary multiplicities", journal = j-SIAM-J-MATH-ANA, volume = "8", number = "4", pages = "673--700", year = "1977", CODEN = "SJMAAH", DOI = "https://doi.org/10.1137/0508053", ISSN = "0036-1410 (print), 1095-7154 (electronic)", ISSN-L = "0036-1410", MRclass = "34E20", MRnumber = "454215", MRreviewer = "W. Wasow", bibdate = "Sun Nov 5 09:03:34 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", acknowledgement = ack-nhfb, author-dates = "Frank William John Olver (15 December 1924--23 April 2013)", fjournal = "SIAM Journal on Mathematical Analysis", journal-URL = "http://epubs.siam.org/sima", } @Article{Olver:1977:CFSb, author = "F. W. J. Olver", title = "Connection formulas for second-order differential equations with multiple turning points", journal = j-SIAM-J-MATH-ANA, volume = "8", number = "1", pages = "127--154", year = "1977", CODEN = "SJMAAH", DOI = "https://doi.org/10.1137/0508009", ISSN = "0036-1410 (print), 1095-7154 (electronic)", ISSN-L = "0036-1410", MRclass = "34E20", MRnumber = "427763", MRreviewer = "Anthony Leung", bibdate = "Sun Nov 5 09:03:34 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", acknowledgement = ack-nhfb, author-dates = "Frank William John Olver (15 December 1924--23 April 2013)", fjournal = "SIAM Journal on Mathematical Analysis", journal-URL = "http://epubs.siam.org/sima", } @Article{Olver:1977:SOD, author = "F. W. J. Olver", title = "Second-order differential equations with fractional transition points", journal = j-TRANS-AM-MATH-SOC, volume = "226", pages = "227--241", year = "1977", CODEN = "TAMTAM", DOI = "https://doi.org/10.2307/1997952", ISSN = "0002-9947 (print), 1088-6850 (electronic)", ISSN-L = "0002-9947", MRclass = "34E20", MRnumber = "430445", MRreviewer = "Anthony Leung", bibdate = "Sun Nov 5 09:03:34 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", acknowledgement = ack-nhfb, author-dates = "Frank William John Olver (15 December 1924--23 April 2013)", fjournal = "Transactions of the American Mathematical Society", journal-URL = "http://www.ams.org/journals/tran/", } @Article{Lozano:1978:AAP, author = "C. Lozano and F. W. J. Olver", title = "Asymptotic approximations for parabolic cylinder functions", journal = j-J-PHYS-B, volume = "11", number = "18", pages = "L531--L533", month = sep, year = "1978", CODEN = "JPAMA4", DOI = "https://doi.org/10.1088/0022-3700/11/18/001", ISSN = "0953-4075 (print), 1361-6455 (electronic)", ISSN-L = "0953-4075", MRclass = "33A30 (34E05 41A60)", MRnumber = "506834", MRreviewer = "Y. L. Luke", bibdate = "Sun Nov 5 09:03:34 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", acknowledgement = ack-nhfb, ajournal = "J. Phys. B", author-dates = "Frank William John Olver (15 December 1924--23 April 2013)", fjournal = "Journal of Physics. B. Atomic and Molecular Physics", journal-URL = "http://iopscience.iop.org/0022-3700/", } @Book{Olver:1978:CVV, author = "F. Olver", title = "{{\cyr Vvedenie v asimptoticheskie metody i spetsial\cprime nye funktsii}} ({Russian}) [{Introduction} to asymptotic methods and special functions]", publisher = "``Nauka''", address = "Moscow, USSR", pages = "375", year = "1978", MRclass = "41A60 (33-01)", MRnumber = "515140", bibdate = "Sun Nov 5 09:03:34 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", note = "Translation by Ju. A. Bry{\v{c}}kov of \cite{Olver:1974:ASF}. Edited by A. P. Prudnikov.", acknowledgement = ack-nhfb, author-dates = "Frank William John Olver (15 December 1924--23 April 2013)", language = "Russian", } @Article{Olver:1978:GCF, author = "F. W. J. Olver", title = "General connection formulae for {Liouville--Green} approximations in the complex plane", journal = j-PHILOS-TRANS-R-SOC-LOND-SER-A, volume = "289", number = "1364", pages = "501--548", year = "1978", CODEN = "PTRMAD, PTMSFB", DOI = "https://doi.org/10.1098/rsta.1978.0067", ISSN = "0080-4614 (print), 2054-0272 (electronic)", ISSN-L = "1364-503X", MRclass = "34E20 (34A20)", MRnumber = "507164", MRreviewer = "W. Wasow", bibdate = "Sun Nov 5 09:03:34 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", note = "See corrigendum \cite{Olver:1979:C}.", acknowledgement = ack-nhfb, author-dates = "Frank William John Olver (15 December 1924--23 April 2013)", fjournal = "Philosophical Transactions of the Royal Society of London. Series A. Mathematical and Physical Sciences", journal-URL = "http://rsta.royalsocietypublishing.org/", } @Article{Olver:1978:NAE, author = "F. W. J. Olver", title = "A new approach to error arithmetic", journal = j-SIAM-J-NUMER-ANAL, volume = "15", number = "2", pages = "368--393", year = "1978", CODEN = "SJNAAM", DOI = "https://doi.org/10.1137/0715024", ISSN = "0036-1429 (print), 1095-7170 (electronic)", ISSN-L = "0036-1429", MRclass = "65G05", MRnumber = "483379", MRreviewer = "W. B{\"o}rsch-Supan", bibdate = "Sun Nov 5 09:03:34 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib; https://www.math.utah.edu/pub/tex/bib/fparith.bib", acknowledgement = ack-nhfb, author-dates = "Frank William John Olver (15 December 1924--23 April 2013)", fjournal = "SIAM Journal on Numerical Analysis", journal-URL = "http://epubs.siam.org/sinum", } @Article{Olver:1978:SCA, author = "F. W. J. Olver", title = "Sufficient conditions for {Ackerberg--O'Malley} resonance", journal = j-SIAM-J-MATH-ANA, volume = "9", number = "2", pages = "328--355", year = "1978", CODEN = "SJMAAH", DOI = "https://doi.org/10.1137/0509023", ISSN = "0036-1410 (print), 1095-7154 (electronic)", ISSN-L = "0036-1410", MRclass = "34E20", MRnumber = "470383", MRreviewer = "G. Sansone", bibdate = "Sun Nov 5 09:03:34 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", acknowledgement = ack-nhfb, author-dates = "Frank William John Olver (15 December 1924--23 April 2013)", fjournal = "SIAM Journal on Mathematical Analysis", journal-URL = "http://epubs.siam.org/sima", } @Article{Olver:1979:C, author = "Frank W. J. Olver", title = "Corrigendum", journal = j-PHILOS-TRANS-R-SOC-LOND-SER-A, volume = "290", number = "1377", pages = "686--686", month = feb, year = "1979", CODEN = "PTRMAD, PTMSFB", DOI = "https://doi.org/10.1098/rsta.1979.0020", ISSN = "1364-503X (print), 1471-2962 (electronic)", ISSN-L = "1364-503X", bibdate = "Sun Nov 5 17:49:08 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", note = "See \cite{Olver:1978:GCF}.", author-dates = "Frank William John Olver (15 December 1924--23 April 2013)", fjournal = "Philosophical Transactions of the Royal Society A: Mathematical, Physical, and Engineering Sciences", journal-URL = "http://rsta.royalsocietypublishing.org/", } @Article{Clenshaw:1980:UAE, author = "C. W. Clenshaw and Frank W. J. Olver", title = "An unrestricted algorithm for the exponential function", journal = j-SIAM-J-NUMER-ANAL, volume = "17", number = "2", pages = "310--331", year = "1980", CODEN = "SJNAAM", DOI = "https://doi.org/10.1137/0717026", ISSN = "0036-1429 (print), 1095-7170 (electronic)", ISSN-L = "0036-1429", MRclass = "65D20", MRnumber = "567276", MRreviewer = "A. M. Cohen", bibdate = "Sun Nov 5 09:03:34 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib; https://www.math.utah.edu/pub/tex/bib/elefunt.bib", acknowledgement = ack-nhfb, author-dates = "Charles William Clenshaw (15 March 1926--23 September 2004); Frank William John Olver (15 December 1924--23 April 2013)", fjournal = "SIAM Journal on Numerical Analysis", journal-URL = "http://epubs.siam.org/sinum", } @Article{Olver:1980:AAE, author = "F. W. J. Olver", title = "Asymptotic approximations and error bounds", journal = j-SIAM-REVIEW, volume = "22", number = "2", pages = "188--203", year = "1980", CODEN = "SIREAD", DOI = "https://doi.org/10.1137/1022028", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", MRclass = "41A60 (65D20)", MRnumber = "564564", MRreviewer = "L. Berg", bibdate = "Sun Nov 5 09:03:34 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", acknowledgement = ack-nhfb, author-dates = "Frank William John Olver (15 December 1924--23 April 2013)", fjournal = "SIAM Review. A Publication of the Society for Industrial and Applied Mathematics", journal-URL = "http://epubs.siam.org/sirev", } @InProceedings{Olver:1980:GCF, author = "Frank W. J. Olver", editor = "R. E. Meyer and S. V. Parter", booktitle = "Singular perturbations and asymptotics ({Proceedings of an Advanced Seminar, Mathematics Research Center, University of Wisconsin, Madison, Wisconsin, 1980})", title = "The general connection-formula problem for linear differential equations of the second order", volume = "45", publisher = pub-ACADEMIC, address = pub-ACADEMIC:adr, pages = "317--343", year = "1980", ISBN = "0-12-493260-6", ISBN-13 = "978-0-12-493260-9", MRclass = "34E20 (34A20)", MRnumber = "606044", MRreviewer = "Frederick A. Howes", bibdate = "Tue Nov 7 08:05:51 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", series = "Publication of the Mathematics Research Center, University of Wisconsin", acknowledgement = ack-nhfb, author-dates = "Frank William John Olver (15 December 1924--23 April 2013)", } @InProceedings{Olver:1980:UAG, author = "F. W. J. Olver", editor = "G. Alefeld and R. D. Grigorieff", booktitle = "Fundamentals of Numerical Computation (Computer-Oriented Numerical Analysis) ({Proceedings of the Conference at the Technical University of Berlin, Berlin, 1979})", title = "Unrestricted algorithms for generating elementary functions", volume = "2", publisher = pub-SV, address = pub-SV:adr, pages = "131--140", year = "1980", ISBN = "3-211-81566-X", ISBN-13 = "978-3-211-81566-3", MRclass = "65G05 (65D15)", MRnumber = "586226", MRreviewer = "John Todd", bibdate = "Sun Nov 5 09:03:34 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", series = "Comput. Suppl.", acknowledgement = ack-nhfb, author-dates = "Frank William John Olver (15 December 1924--23 April 2013)", xxaddress = "Vienna, Austria", xxpublisher = "Springer", } @Article{Olver:1980:WFB, author = "F. W. J. Olver", title = "{Whittaker} functions with both parameters large: uniform approximations in terms of parabolic cylinder functions", journal = j-PROC-R-SOC-EDINB-SECT-A-MATH, volume = "86", number = "3--4", pages = "213--234", year = "1980", CODEN = "PEAMDU", DOI = "https://doi.org/10.1017/S0308210500012130", ISSN = "0308-2105 (print), 1473-7124 (electronic)", ISSN-L = "0308-2105", MRclass = "34E20 (33A40)", MRnumber = "592550", MRreviewer = "P. F. Hsieh", bibdate = "Sun Nov 5 09:03:34 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", acknowledgement = ack-nhfb, author-dates = "Frank William John Olver (15 December 1924--23 April 2013)", fjournal = "Proceedings of the Royal Society of Edinburgh. Section A. Mathematics", journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=PRM", } @Article{Smith:1981:ERA, author = "J. M. Smith and F. W. J. Olver and Daniel W. Lozier", title = "Extended-range arithmetic and normalized {Legendre} polynomials", journal = j-TOMS, volume = "7", number = "1", pages = "93--105", month = mar, year = "1981", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355934.355940", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65D20 (65G05)", MRnumber = "607353", bibdate = "Sun Nov 5 09:03:34 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", acknowledgement = ack-nhfb, author-dates = "Frank William John Olver (15 December 1924--23 April 2013)", fjournal = "Association for Computing Machinery. Transactions on Mathematical Software", journal-URL = "http://dl.acm.org/pub.cfm?id=J782", } @Article{Olver:1982:FDR, author = "F. W. J. Olver", title = "Further developments of {Rp} and {Ap} error analysis", journal = j-IMA-J-NUMER-ANAL, volume = "2", number = "3", pages = "249--274", month = jul, year = "1982", CODEN = "IJNADH", DOI = "https://doi.org/10.1093/imanum/2.3.249", ISSN = "0272-4979 (print), 1464-3642 (electronic)", ISSN-L = "0272-4979", MRclass = "65G10 (65G05)", MRnumber = "678016", MRreviewer = "Aur{\'e}l Gal{\'a}ntai", bibdate = "Sun Nov 5 09:03:34 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib; https://www.math.utah.edu/pub/tex/bib/imajnumeranal.bib; MathSciNet database", acknowledgement = ack-nhfb, author-dates = "Frank William John Olver (15 December 1924--23 April 2013)", fjournal = "IMA Journal of Numerical Analysis", journal-URL = "http://imajna.oxfordjournals.org/content/by/year", } @Article{Olver:1982:PEB, author = "F. W. J. Olver and J. H. Wilkinson", title = "A Posteriori Error Bounds for {Gaussian} Elimination", journal = j-IMA-J-NUMER-ANAL, volume = "2", number = "4", pages = "377--406", year = "1982", CODEN = "IJNADH", DOI = "https://doi.org/10.1093/imanum/2.4.377", ISSN = "0272-4979 (print), 1464-3642 (electronic)", ISSN-L = "0272-4979", MRclass = "65F05 (65G05)", MRnumber = "MR692286 (84m:65044)", MRreviewer = "E. R. Hansen", bibdate = "Sun Nov 5 09:03:34 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib; https://www.math.utah.edu/pub/bibnet/authors/w/wilkinson-james-hardy.bib; Theory/Matrix.bib", acknowledgement = ack-nhfb, author-dates = "Frank William John Olver (15 December 1924--23 April 2013); James H. Wilkinson (27 September 1919--5 October 1986)", fjournal = "IMA Journal of Numerical Analysis", journal-URL = "http://imajna.oxfordjournals.org/content/by/year", } @Article{Olver:1983:ALF, author = "F. W. J. Olver and J. M. Smith", title = "Associated {Legendre} functions on the cut", journal = j-J-COMPUT-PHYS, volume = "51", number = "3", pages = "502--518", month = sep, year = "1983", CODEN = "JCTPAH", DOI = "https://doi.org/10.1016/0021-9991(83)90166-3", ISSN = "0021-9991 (print), 1090-2716 (electronic)", ISSN-L = "0021-9991", MRclass = "65D20 (33A45)", MRnumber = "718756", MRreviewer = "G. P. Bhattacharjee", bibdate = "Sun Nov 5 09:03:34 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", acknowledgement = ack-nhfb, author-dates = "Frank William John Olver (15 December 1924--23 April 2013)", fjournal = "Journal of Computational Physics", journal-URL = "http://www.sciencedirect.com/science/journal/00219991", } @InCollection{Olver:1983:AM, author = "F. W. J. Olver", editor = "C. E. Pearson", booktitle = "Handbook of Applied Mathematics", title = "Asymptotic methods", publisher = pub-VAN-NOSTRAND-REINHOLD, address = pub-VAN-NOSTRAND-REINHOLD:adr, edition = "Second", pages = "631--696", year = "1983", bibdate = "Tue Nov 07 08:37:20 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", acknowledgement = ack-nhfb, author-dates = "Frank William John Olver (15 December 1924--23 April 2013)", } @InProceedings{Olver:1983:EAC, author = "F. W. J. Olver", editor = "H. Werner and L. Wuytack and E. Ng and H. J. Bunger", booktitle = "Computational aspects of complex analysis ({Braunlage}, 1982)", title = "Error analysis of complex arithmetic", volume = "102", publisher = pub-REIDEL, address = pub-REIDEL:adr, pages = "279--292", year = "1983", ISBN = "90-277-1571-8", ISBN-13 = "978-90-277-1571-5", MRclass = "65G10", MRnumber = "712900", MRreviewer = "G. Blanch", bibdate = "Sun Nov 5 09:03:34 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", series = "NATO Advanced Science Institute Series C: Mathematical and Physical Sciences", acknowledgement = ack-nhfb, author-dates = "Frank William John Olver (15 December 1924--23 April 2013)", } @Article{Olver:1983:EBA, author = "F. W. J. Olver", title = "Error bounds for arithmetic operations on computers without guard digits", journal = j-IMA-J-NUMER-ANAL, volume = "3", number = "2", pages = "153--160", year = "1983", CODEN = "IJNADH", DOI = "https://doi.org/10.1093/imanum/3.2.153", ISSN = "0272-4979 (print), 1464-3642 (electronic)", ISSN-L = "0272-4979", MRclass = "65G05", MRnumber = "716459", MRreviewer = "Robert Todd Gregory", bibdate = "Sun Nov 5 09:03:34 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", acknowledgement = ack-nhfb, author-dates = "Frank William John Olver (15 December 1924--23 April 2013)", fjournal = "IMA Journal of Numerical Analysis", journal-URL = "http://imajna.oxfordjournals.org/content/by/year", } @Article{Clenshaw:1984:BFP, author = "C. W. Clenshaw and Frank W. J. Olver", title = "Beyond floating point", journal = j-J-ACM, volume = "31", number = "2", pages = "319--328", year = "1984", CODEN = "JACOAH", DOI = "https://doi.org/10.1145/62.322429", ISSN = "0004-5411 (print), 1557-735X (electronic)", ISSN-L = "0004-5411", MRclass = "65G05", MRnumber = "819141", bibdate = "Sun Nov 5 09:03:34 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib; https://www.math.utah.edu/pub/tex/bib/fparith.bib", acknowledgement = ack-nhfb, author-dates = "Charles William Clenshaw (15 March 1926--23 September 2004); Frank William John Olver (15 December 1924--23 April 2013)", fjournal = "Journal of the Association for Computing Machinery", journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J401", keywords = "level-index (LI) arithmetic", remark = "This is the paper that proposed level-index (LI) arithmetic.", } @Article{Olver:1984:BRM, author = "F. W. J. Olver", title = "Book Review: {{\booktitle{Mathematics for the Analysis of Algorithms}}, by D. H. Greene and D. E. Knuth: Progress in Computer Science, v. 1 (second edition), Birkh{\"a}user, Boston, 1982}", journal = "COMPEL", volume = "3", number = "??", pages = "53--54", month = "????", year = "1984", bibdate = "Tue Nov 07 10:00:36 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", acknowledgement = ack-nhfb, author-dates = "Frank William John Olver (15 December 1924--23 April 2013)", } @Article{Olver:1985:UAM, author = "F. W. J. Olver", title = "Unrestricted algorithms for mathematical functions", journal = "Rend. Sem. Mat. Univ. Politec. Torino", volume = "??", number = "??", pages = "237--248", month = "????", year = "1985", ISSN = "0373-1243", MRclass = "65G05", MRnumber = "850035", bibdate = "Sun Nov 5 09:03:34 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", note = "International conference on special functions: theory and computation (Turin, 1984)", acknowledgement = ack-nhfb, author-dates = "Frank William John Olver (15 December 1924--23 April 2013)", fjournal = "Rendiconti del Seminario Matematico (gi\`a ``Conferenze di Fisica e di Matematica''). Universit\`a e Politecnico di Torino", } @Article{Clenshaw:1986:GEL, author = "C. W. Clenshaw and Daniel W. Lozier and F. W. J. Olver and Peter R. Turner", title = "Generalized exponential and logarithmic functions", journal = j-COMPUT-MATH-APPL-B, volume = "12", number = "5--6", pages = "1091--1101", year = "1986", CODEN = "CMAPDK", DOI = "https://doi.org/10.1016/0898-1221(86)90233-6", ISSN = "0886-9561", MRclass = "33A70 (39B10 65G05)", MRnumber = "871348", MRreviewer = "M. E. Muldoon", bibdate = "Sun Nov 5 09:03:34 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", acknowledgement = ack-nhfb, author-dates = "Charles William Clenshaw (15 March 1926--23 September 2004); Frank William John Olver (15 December 1924--23 April 2013)", fjournal = "Computers \& Mathematics with Applications. An International Journal. Part B", journal-URL = "http://www.sciencedirect.com/science/journal/08981221", } @Article{Clenshaw:1986:UAR, author = "C. W. Clenshaw and Frank W. J. Olver", title = "Unrestricted algorithms for reciprocals and square roots", journal = j-BIT, volume = "26", number = "4", pages = "476--492", year = "1986", CODEN = "BITTEL, NBITAB", DOI = "https://doi.org/10.1007/BF01935054", ISSN = "0006-3835 (print), 1572-9125 (electronic)", ISSN-L = "0006-3835", MRclass = "65D20", MRnumber = "863501", MRreviewer = "Luciano Biasini", bibdate = "Sun Nov 5 09:03:34 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib; https://www.math.utah.edu/pub/tex/bib/elefunt.bib", acknowledgement = ack-nhfb, author-dates = "Charles William Clenshaw (15 March 1926--23 September 2004); Frank William John Olver (15 December 1924--23 April 2013)", fjournal = "BIT. Nordisk Tidskrift for Informationsbehandling (BIT)", journal-URL = "http://link.springer.com/journal/10543", } @Article{Olver:1986:BRC, author = "F. W. J. Olver", title = "Book Review: {{\booktitle{Computation with Recurrence Relations}}, by Jet Wimp: Pitman, Boston, 1984}", journal = j-MATH-COMPUT, volume = "47", number = "175", pages = "371--372", year = "1986", CODEN = "MCMPAF", DOI = "https://doi.org/10.1090/S0025-5718-86-99764-4", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Nov 07 10:03:44 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", URL = "https://www.ams.org/journals/mcom/1986-47-175/S0025-5718-86-99764-4", acknowledgement = ack-nhfb, author-dates = "Frank William John Olver (15 December 1924--23 April 2013)", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Olver:1986:BRL, author = "Frank W. J. Olver", title = "Book Review: {{\booktitle{Linear Turning Point Theory}} (Wolfgang Wasow)}", journal = j-SIAM-REVIEW, volume = "28", number = "3", pages = "433--435", month = "????", year = "1986", CODEN = "SIREAD", DOI = "https://doi.org/10.1137/1028143", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Sat Mar 29 09:54:07 MDT 2014", bibsource = "http://epubs.siam.org/toc/siread/28/3; https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib; https://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, author-dates = "Frank William John Olver (15 December 1924--23 April 2013)", fjournal = "SIAM Review", journal-URL = "http://epubs.siam.org/sirev", onlinedate = "September 1986", } @Article{Olver:1986:EBP, author = "F. W. J. Olver", title = "Error bounds for polynomial evaluation and complex arithmetic", journal = j-IMA-J-NUMER-ANAL, volume = "6", number = "3", pages = "373--379", year = "1986", CODEN = "IJNADH", DOI = "https://doi.org/10.1093/imanum/6.3.373", ISSN = "0272-4979 (print), 1464-3642 (electronic)", ISSN-L = "0272-4979", MRclass = "65G05 (65G10 65H05)", MRnumber = "967677", bibdate = "Sun Nov 5 09:03:34 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", acknowledgement = ack-nhfb, author-dates = "Frank William John Olver (15 December 1924--23 April 2013)", fjournal = "IMA Journal of Numerical Analysis", journal-URL = "http://imajna.oxfordjournals.org/content/by/year", } @Article{Olver:1986:LIN, author = "F. W. J. Olver", title = "The level-index number system", journal = j-BULL-INST-MATH-APPL, volume = "22", number = "11--12", pages = "182--185", year = "1986", CODEN = "IMTABW", ISSN = "0905-5628", MRclass = "65G99 (65D20)", MRnumber = "900721", bibdate = "Sun Nov 5 09:03:34 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib; https://www.math.utah.edu/pub/tex/bib/fparith.bib", acknowledgement = ack-nhfb, ajournal = "Bull. Inst. Math. Appl.", author-dates = "Frank William John Olver (15 December 1924--23 April 2013)", fjournal = "Bulletin of the Institute of Mathematics and its Applications", } @Article{Olver:1986:SEB, author = "F. W. J. Olver", title = "Simplified error bounds for {Newton}'s rule", journal = "Universidad del Zulia. Facultad de Ingenier{\'\i}a. Revista T{\'e}cnica", volume = "9", number = "2", pages = "71--77", year = "1986", ISSN = "0254-0770", MRclass = "65G99 (65H05)", MRnumber = "895110", MRreviewer = "J. Rokne", bibdate = "Sun Nov 5 09:03:34 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", acknowledgement = ack-nhfb, ajournal = "Rev. T{\'e}cn. Fac. Ingr. Univ. Zulia", author-dates = "Frank William John Olver (15 December 1924--23 April 2013)", fjournal = "Universidad del Zulia. Facultad de Ingenier{\'\i}a. Revista T{\'e}cnica", } @Article{Clenshaw:1987:LIA, author = "C. W. Clenshaw and Frank W. J. Olver", title = "Level-index arithmetic operations", journal = j-SIAM-J-NUMER-ANAL, volume = "24", number = "2", pages = "470--485", year = "1987", CODEN = "SJNAAM", DOI = "https://doi.org/10.1137/0724034", ISSN = "0036-1429 (print), 1095-7170 (electronic)", ISSN-L = "0036-1429", MRclass = "65G05 (65G99)", MRnumber = "881377", MRreviewer = "F. Szidarovszky", bibdate = "Sun Nov 5 09:03:34 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib; https://www.math.utah.edu/pub/tex/bib/fparith.bib", acknowledgement = ack-nhfb, author-dates = "Charles William Clenshaw (15 March 1926--23 September 2004); Frank William John Olver (15 December 1924--23 April 2013)", fjournal = "SIAM Journal on Numerical Analysis", journal-URL = "http://epubs.siam.org/sinum", } @InProceedings{Olver:1987:CCA, author = "F. W. J. Olver", title = "A Closed Computer Arithmetic", crossref = "Irwin:1987:PSC", pages = "139--143", month = may, year = "1987", bibdate = "Wed Nov 14 18:22:26 2007", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib; https://www.math.utah.edu/pub/tex/bib/fparith.bib", URL = "http://www.acsel-lab.com/arithmetic/arith8/papers/ARITH8_Olver.pdf", abstract = "Two closely related new systems of computer arithmetic are proposed. It is shown that both are closed under arithmetic operations in finite-precision arithmetic, thereby offering a permanent solution to the problems of overflow and underflow. Other advantages of the new systems pertaining to precision are described, and there is also a brief discussion of possible ways of hardware implementation.", acknowledgement = ack-nhfb, author-dates = "Frank William John Olver (15 December 1924--23 April 2013)", keywords = "ARITH-8", remark = "Reprinted in \cite{Olver:1990:CCA}.", } @InProceedings{Olver:1987:ILI, author = "F. W. J. Olver and P. R. Turner", title = "Implementation of Level-Index Arithmetic Using Partial Table Look-Up", crossref = "Irwin:1987:PSC", pages = "144--147", month = may, year = "1987", bibdate = "Wed Nov 14 18:22:26 2007", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib; https://www.math.utah.edu/pub/tex/bib/fparith.bib", URL = "http://www.acsel-lab.com/arithmetic/arith8/papers/ARITH8_Olver_Turner.pdf", abstract = "This paper is concerned with finding fast efficient algorithms for performing level-index arithmetic. The approach used combines the advantages of parallel processing with the use of table look-up. The latter is used only for short words and the result is a potential implementation with $ \li $ operation times comparable with floating-point long multiplications.", acknowledgement = ack-nhfb, author-dates = "Frank William John Olver (15 December 1924--23 April 2013)", keywords = "ARITH-8", } @Article{Olver:1988:EBL, author = "F. W. J. Olver", title = "Error Bounds for Linear Recurrence Relations", journal = j-MATH-COMPUT, volume = "50", number = "182", pages = "481--499", month = apr, year = "1988", CODEN = "MCMPAF", DOI = "https://doi.org/10.2307/2008618", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65Q05 (39A10 65G05)", MRnumber = "89e:65146 (929547)", MRreviewer = "Bogdan Choczewski", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib; https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, author-dates = "Frank William John Olver (15 December 1924--23 April 2013)", classcodes = "B0290B (Error analysis in numerical methods); C4110 (Error analysis in numerical methods)", corpsource = "Maryland Univ., College Park, MD, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "a posteriori methods; analysis; Bessel function; bounds; computational complexity; difference equations; error; homogeneous second order; Legendre function; linear recurrence relations; monotonic systems; numerical examples; O(r) arithmetic operations; oscillatory systems; realistic error; relations; rounded interval arithmetic", treatment = "T Theoretical or Mathematical", } @InProceedings{Clenshaw:1989:LIA, author = "C. W. Clenshaw and F. W. J. Olver and Peter R. Turner", booktitle = "Numerical analysis and parallel processing ({Lancaster Numerical Analysis Summer School}, 1987)", title = "Level-index arithmetic: an introductory survey", volume = "1397", publisher = pub-SV, address = pub-SV:adr, pages = "95--168", year = "1989", DOI = "https://doi.org/10.1007/BFb0085718", ISBN = "3-540-51645-X", ISBN-13 = "978-3-540-51645-3", MRclass = "65Q05", MRnumber = "1022263", bibdate = "Sun Nov 5 09:03:34 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib; https://www.math.utah.edu/pub/tex/bib/fparith.bib", series = "Lecture Notes in Math.", acknowledgement = ack-nhfb, author-dates = "Charles William Clenshaw (15 March 1926--23 September 2004); Frank William John Olver (15 December 1924--23 April 2013)", } @Article{Olver:1989:BRT, author = "F. W. J. Olver", title = "Book Review: {{\booktitle{Theory of Difference Equations: Numerical Methods and Applications}}, by V. Lakshmikantham and D. Trigiante: Mathematics in Science and Engineering, v. 181, Academic Press, New York, 1988}", journal = j-AM-SCI, volume = "77", number = "3", pages = "294--295", month = may # "\slash " # jun, year = "1989", CODEN = "AMSCAC", ISSN = "0003-0996 (print), 1545-2786 (electronic)", ISSN-L = "0003-0996", bibdate = "Tue Nov 07 10:06:38 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", URL = "https://www.jstor.org/stable/27855786", acknowledgement = ack-nhfb, author-dates = "Frank William John Olver (15 December 1924--23 April 2013)", fjournal = "American Scientist", journal-URL = "http://www.americanscientist.org/issues/past.aspx", } @InCollection{Olver:1989:CP, author = "F. W. J. Olver", title = "Closure and precision", crossref = "Turner:1989:NAP", pages = "124--130", year = "1989", bibdate = "Tue Nov 07 07:22:57 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", acknowledgement = ack-nhfb, author-dates = "Frank William John Olver (15 December 1924--23 April 2013)", } @InCollection{Olver:1989:GEL, author = "F. W. J. Olver", title = "Generalized exponentials and logarithms; surface fitting; conclusions", crossref = "Turner:1989:NAP", pages = "156--164", year = "1989", bibdate = "Tue Nov 07 07:22:57 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", acknowledgement = ack-nhfb, author-dates = "Frank William John Olver (15 December 1924--23 April 2013)", } @Article{Lozier:1990:CPL, author = "Daniel W. Lozier and F. W. J. Olver", title = "Closure and precision in level-index arithmetic", journal = j-SIAM-J-NUMER-ANAL, volume = "27", number = "5", pages = "1295--1304", year = "1990", CODEN = "SJNAAM", DOI = "https://doi.org/10.1137/0727073", ISSN = "0036-1429 (print), 1095-7170 (electronic)", ISSN-L = "0036-1429", MRclass = "65-04 (65G05)", MRnumber = "1061130", bibdate = "Sun Nov 5 09:03:34 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib; https://www.math.utah.edu/pub/tex/bib/fparith.bib", acknowledgement = ack-nhfb, author-dates = "Frank William John Olver (15 December 1924--23 April 2013)", fjournal = "SIAM Journal on Numerical Analysis", journal-URL = "http://epubs.siam.org/sinum", } @Book{Olver:1990:CAS, author = "F. Olver", title = "{{\cyr Asimptotika i spetsial\cprime nye funktsii}}. ({Russian}) [Asymptotics and special functions]", publisher = "``Nauka''", address = "Moscow, USSR", pages = "528", year = "1990", ISBN = "5-02-014228-X", ISBN-13 = "978-5-02-014228-2", MRclass = "41A60 (33-02 41-02)", MRnumber = "1108396", bibdate = "Sun Nov 5 09:03:34 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", note = "Translation by Yu. A. Brychkov of \cite{Olver:1974:ASF}. Translation edited and with a preface by A. P. Prudnikov", acknowledgement = ack-nhfb, author-dates = "Frank William John Olver (15 December 1924--23 April 2013)", language = "Russian", } @InProceedings{Olver:1990:CCA, author = "F. W. J. Olver", title = "A Closed Computer Arithmetic", crossref = "Swartzlander:1990:CAb", pages = "360--364", year = "19909", bibdate = "Tue Nov 07 07:17:59 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", acknowledgement = ack-nhfb, author-dates = "Frank William John Olver (15 December 1924--23 April 2013)", remark = "Reprinted from \cite{Olver:1987:CCA}.", } @InCollection{Olver:1990:REA, author = "F. W. J. Olver", title = "Rounding errors in algebraic processes---in level-index arithmetic", crossref = "Cox:1990:RNC", pages = "197--205", year = "1990", MRclass = "65Y10 (65G99)", MRnumber = "1098325", bibdate = "Sun Nov 5 09:03:34 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib; https://www.math.utah.edu/pub/tex/bib/fparith.bib", acknowledgement = ack-nhfb, author-dates = "Frank William John Olver (15 December 1924--23 April 2013)", } @InProceedings{Olver:1990:SPC, author = "Frank W. J. Olver", title = "On {Stokes}' Phenomenon and Converging Factors", crossref = "Wong:1990:ACA", pages = "329--356", year = "1990", MRclass = "41A60 (30E15 33C99)", MRnumber = "1052440", MRreviewer = "James Geer", bibdate = "Sun Nov 05 09:36:42 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", acknowledgement = ack-nhfb, author-dates = "Frank William John Olver (15 December 1924--23 April 2013)", subject-dates = "Frank William John Olver (15 December 1924--23 April 2013)", xxpages = "329--355", } @Article{Olver:1991:RUB, author = "F. W. J. Olver", title = "Book Review: {{\booktitle{Mathematical Function Library for Microsoft-FORTRAN}}, by United Laboratories, Inc.: Wiley, New York, 1989}", journal = j-MATH-COMPUT, volume = "56", number = "194", pages = "879--885", month = apr, year = "1991", CODEN = "MCMPAF", DOI = "https://doi.org/10.1090/S0025-5718-91-99751-6", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Nov 07 10:11:47 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib; https://www.math.utah.edu/pub/tex/bib/fortran3.bib; https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib", URL = "https://www.ams.org/journals/mcom/1991-56-194/S0025-5718-91-99751-6", acknowledgement = ack-nhfb, author-dates = "Frank William John Olver (15 December 1924--23 April 2013)", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Olver:1991:UEIa, author = "F. W. J. Olver", title = "Uniform, exponentially improved, asymptotic expansions for the confluent hypergeometric function and other integral transforms", journal = j-SIAM-J-MATH-ANA, volume = "22", number = "5", pages = "1475--1489", year = "1991", CODEN = "SJMAAH", DOI = "https://doi.org/10.1137/0522095", ISSN = "0036-1410 (print), 1095-7154 (electronic)", ISSN-L = "0036-1410", MRclass = "41A60 (33C15)", MRnumber = "1112521", MRreviewer = "Hans-J{\"u}rgen Glaeske", bibdate = "Sun Nov 5 09:03:34 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib; https://www.math.utah.edu/pub/tex/bib/elefunt.bib", acknowledgement = ack-nhfb, author-dates = "Frank William John Olver (15 December 1924--23 April 2013)", fjournal = "SIAM Journal on Mathematical Analysis", journal-URL = "http://epubs.siam.org/sima", } @Article{Olver:1991:UEIb, author = "F. W. J. Olver", title = "Uniform, exponentially improved, asymptotic expansions for the generalized exponential integral", journal = j-SIAM-J-MATH-ANA, volume = "22", number = "5", pages = "1460--1474", year = "1991", CODEN = "SJMAAH", DOI = "https://doi.org/10.1137/0522094", ISSN = "0036-1410 (print), 1095-7154 (electronic)", ISSN-L = "0036-1410", MRclass = "41A60 (33B20)", MRnumber = "1112520", MRreviewer = "Hans-J{\"u}rgen Glaeske", bibdate = "Sun Nov 5 09:03:34 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib; https://www.math.utah.edu/pub/tex/bib/elefunt.bib", acknowledgement = ack-nhfb, author-dates = "Frank William John Olver (15 December 1924--23 April 2013)", fjournal = "SIAM Journal on Mathematical Analysis", journal-URL = "http://epubs.siam.org/sima", } @InProceedings{Olver:1992:CF, author = "F. W. J. Olver", title = "Converging factors", crossref = "Martin:1992:WAP", pages = "54--68", year = "1992", MRclass = "41A60", MRnumber = "1174347", bibdate = "Sun Nov 5 09:03:34 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", acknowledgement = ack-nhfb, author-dates = "Frank William John Olver (15 December 1924--23 April 2013)", } @InProceedings{Lozier:1993:ABF, author = "Daniel W. Lozier and F. W. J. Olver", title = "{Airy} and {Bessel} Functions by Parallel Integration of {ODEs}", crossref = "Sincovec:1993:PSS", pages = "530--538", year = "1993", bibdate = "Fri Jul 09 06:36:27 2004", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib; https://www.math.utah.edu/pub/tex/bib/elefunt.bib", acknowledgement = ack-nhfb, author-dates = "Frank William John Olver (15 December 1924--23 April 2013)", } @InProceedings{Olver:1993:EIAa, author = "F. W. J. Olver", editor = "B. D. Sleeman and R. J. Jarvis", booktitle = "Ordinary and partial differential equations, {Vol}. {IV} ({Dundee}, 1992)", title = "Exponentially improved asymptotic solutions of ordinary differential equations", volume = "289", publisher = pub-LONGMAN, address = pub-LONGMAN:adr, pages = "238--247", year = "1993", ISBN = "0-582-09137-3", ISBN-13 = "978-0-582-09137-5", MRclass = "34E05 (34A20)", MRnumber = "1234505", MRreviewer = "Bernard J. Harris", bibdate = "Sun Nov 5 09:03:34 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", series = "Pitman Res. Notes Math. Ser.", acknowledgement = ack-nhfb, author-dates = "Frank William John Olver (15 December 1924--23 April 2013)", } @Article{Olver:1993:EIAb, author = "F. W. J. Olver", title = "Exponentially-improved asymptotic solutions of ordinary differential equations. {I}. {The} confluent hypergeometric function", journal = j-SIAM-J-MATH-ANA, volume = "24", number = "3", pages = "756--767", month = may, year = "1993", CODEN = "SJMAAH", DOI = "https://doi.org/10.1137/0524046", ISSN = "0036-1410 (print), 1095-7154 (electronic)", ISSN-L = "0036-1410", MRclass = "34E05 (33C15)", MRnumber = "94c:34082 (1215436)", MRreviewer = "Hussain S. Nur", bibdate = "Sun Nov 28 19:25:44 MST 2010", bibsource = "http://epubs.siam.org/sam-bin/dbq/toc/SIMA/24/3; https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib; https://www.math.utah.edu/pub/tex/bib/siamjmathana.bib", acknowledgement = ack-nhfb, author-dates = "Frank William John Olver (15 December 1924--23 April 2013)", fjournal = "SIAM Journal on Mathematical Analysis", journal-URL = "http://epubs.siam.org/sima", } @TechReport{Lozier:1994:NESa, author = "D. W. Lozier and F. W. J. Olver", title = "Numerical evaluation of special functions", type = "Report", number = "NISTIR 5383", institution = "Computing and Applied Mathematics Laboratory, U. S. Department of Commerce", address = "Washington, DC, USA", pages = "47", month = mar, year = "1994", MRclass = "65D20 (33-00)", bibdate = "Thu Nov 16 07:52:34 2023", bibsource = "https://www.math.utah.edu/pub/tex/bib/elefunt.bib; https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", URL = "https://math.nist.gov/~DLozier/publications/nistir5383.pdf", abstract = "Higher transcendental functions continue to play varied and important roles in investigations by engineers, mathematicians, scientists and statisticians. The purpose of this paper is to assist in locating useful approximations and software for the numerical generation of these functions, and to offer some suggestions for future developments in this field.", acknowledgement = ack-nhfb, author-dates = "Frank William John Olver (15 December 1924--23 April 2013)", tableofcontents = "1. Introduction / 3 \\ 2. Mathematical Developments / 5 \\ 3. Packages, Libraries and Systems / 6 \\ 3.1. Software Packages / 6 \\ 3.2. Intermediate Libraries / 8 \\ 3.3. Comprehensive Libraries / 8 \\ 3.4. Interactive Systems / 12 \\ 4. Functions of One Variable / 15 \\ 4.1. Airy Functions / 15 \\ 4.2. Error Functions, Dawson's Integral, Fresnel Integrals, Goodwin--Staton Integral / 15 \\ 4.3. Exponential Integrals, Logarithmic Integral, Sine and Cosine Integrals / 16 \\ 4.4. Gamma, Psi, and Polygamma Functions / 16 \\ 4.5. Landau Density and Distribution Functions / 16 \\ 4.6. Polylogarithms, Clausen Integral / 16 \\ 4.7. Zeta Function / 17 \\ 4.8. Additional Functions of One Variable / 17 \\ 5. Functions of Two or More Variables / 17 \\ 5.1. Bessel Functions / 17 \\ 5.2. Coulomb Wave Functions / 18 \\ 5.3. Elliptic Integrals and Functions / 18 \\ 5.4. Fermi--Dirac, Bose--Einstein, and Debye Integrals / 19 \\ 5.5. Hypergeometric and Concuent Hypergeometric Functions / 19 \\ 5.6. Incomplete Bessel Functions, Incomplete Beta Function / 19 \\ 5.7. Incomplete Gamma Functions, Generalized Exponential Integrals / 20 \\ 5.8. Legendre Functions and Associated Legendre Functions / 20 \\ 5.9. Mathieu, Lam{\'e}, and Spheroidal Wave Functions / 20 \\ 5.10. Orthogonal Polynomials / 21 \\ 5.11. Polylogarithms (Generalized) / 21 \\ 5.12. Struve and Anger--Weber Functions / 21 \\ 5.13. Weber Parabolic Cylinder Functions / 21 \\ 5.14. Zeta Function (Generalized) / 21 \\ 5.15. Additional Functions of Two or More Variables / 21 \\ 6. Testing and Library Construction / 22 \\ 7. Future Trends / 22 \\ Acknowledgments / 23 \\ A Note on the Reference Acronyms / 23 \\ References / 23--47", } @InProceedings{Lozier:1994:NESb, author = "D. W. Lozier and F. W. J. Olver", title = "Numerical evaluation of special functions", crossref = "Gautschi:1994:MCH", volume = "48", pages = "79--125", year = "1994", DOI = "https://doi.org/10.1090/psapm/048/1314844", MRclass = "65D20 (30-04 33-04 41-04)", MRnumber = "95m:65036 (1314844)", MRreviewer = "John P. Coleman", bibdate = "Fri Jul 9 05:44:10 2004", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib; https://www.math.utah.edu/pub/tex/bib/elefunt.bib; https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib", series = "Proc. Sympos. Appl. Math.", URL = "http://math.nist.gov/mcsd/Reports/2001/nesf/", abstract = "Higher transcendental functions continue to play varied and important roles in investigations by engineers, mathematicians, scientists, and statisticians. The purpose of this paper is to assist in locating useful approximations and software for the numerical generation of these functions, and to offer some suggestions for future developments in the field.", acknowledgement = ack-nhfb, remark = "The references list contains about 400 entries which should ultimately be incorporated in this BibTeX bibliography collection.", author-dates = "Frank William John Olver (15 December 1924--23 April 2013)", } @Article{OldeDaalhuis:1994:EIA, author = "A. B. {Olde Daalhuis} and F. W. J. Olver", title = "Exponentially improved asymptotic solutions of ordinary differential equations. {II}. {Irregular} singularities of rank one", journal = j-PROC-R-SOC-LOND-SER-A-MATH-PHYS-SCI, volume = "445", number = "1923", pages = "39--56", year = "1994", CODEN = "PRLAAZ", DOI = "https://doi.org/10.1098/rspa.1994.0047", ISSN = "0080-4630 (print), 2053-9169 (electronic)", ISSN-L = "0080-4630", MRclass = "34E05", MRnumber = "1276904", MRreviewer = "Hussain S. Nur", bibdate = "Sun Nov 5 09:03:34 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", acknowledgement = ack-nhfb, author-dates = "Frank William John Olver (15 December 1924--23 April 2013)", fjournal = "Proceedings of the Royal Society. London. Series A. Mathematical, Physical and Engineering Sciences", journal-URL = "http://rspa.royalsocietypublishing.org/", } @Article{Olver:1994:AEC, author = "F. W. J. Olver", title = "Asymptotic expansions of the coefficients in asymptotic series solutions of linear differential equations", journal = j-METHODS-APPL-ANAL, volume = "1", number = "1", pages = "1--13", year = "1994", DOI = "https://doi.org/10.4310/MAA.1994.v1.n1.a1", ISSN = "1073-2772 (print), 1945-0001 (electronic)", ISSN-L = "1073-2772", MRclass = "34E05 (41A60)", MRnumber = "1260379", MRreviewer = "Archibald D. MacGillivray", bibdate = "Sun Nov 5 09:03:34 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", acknowledgement = ack-nhfb, author-dates = "Frank William John Olver (15 December 1924--23 April 2013)", fjournal = "Methods and Applications of Analysis", journal-URL = "http://www.intlpress.com/MAA/", } @InProceedings{Olver:1994:GEI, author = "F. W. J. Olver", booktitle = "Approximation and computation ({West Lafayette, IN}, 1993)", title = "The generalized exponential integral", volume = "119", publisher = pub-BIRKHAUSER-BOSTON, address = pub-BIRKHAUSER-BOSTON:adr, pages = "497--510", year = "1994", ISBN = "0-8176-3753-2", ISBN-13 = "978-0-8176-3753-8", MRclass = "33B20 (34E05 41A60)", MRnumber = "1333639", MRreviewer = "Richard B. Paris", bibdate = "Sun Nov 5 09:03:34 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib; https://www.math.utah.edu/pub/tex/bib/elefunt.bib", series = "Internat. Ser. Numer. Math.", acknowledgement = ack-nhfb, author-dates = "Frank William John Olver (15 December 1924--23 April 2013)", } @Article{OldeDaalhuis:1995:CSM, author = "A. B. {Olde Daalhuis} and F. W. J. Olver", title = "On the calculation of {Stokes} multipliers for linear differential equations of the second order", journal = j-METHODS-APPL-ANAL, volume = "2", number = "3", pages = "348--367", year = "1995", DOI = "https://doi.org/10.4310/MAA.1995.v2.n3.a6", ISSN = "1073-2772 (print), 1945-0001 (electronic)", ISSN-L = "1073-2772", MRclass = "34E05 (34A20)", MRnumber = "1362021", MRreviewer = "Archibald D. MacGillivray", bibdate = "Sun Nov 5 09:03:34 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", acknowledgement = ack-nhfb, author-dates = "Frank William John Olver (15 December 1924--23 April 2013)", fjournal = "Methods and Applications of Analysis", journal-URL = "http://www.intlpress.com/MAA/", } @Article{OldeDaalhuis:1995:HSS, author = "A. B. {Olde Daalhuis} and F. W. J. Olver", title = "Hyperasymptotic solutions of second-order linear differential equations. {I}", journal = j-METHODS-APPL-ANAL, volume = "2", number = "2", pages = "173--197", year = "1995", DOI = "https://doi.org/10.4310/MAA.1995.v2.n2.a4", ISSN = "1073-2772 (print), 1945-0001 (electronic)", ISSN-L = "1073-2772", MRclass = "34E05 (33B20 33C10 34A20)", MRnumber = "1350895", MRreviewer = "A. D. Wood", bibdate = "Sun Nov 5 09:03:34 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", acknowledgement = ack-nhfb, author-dates = "Frank William John Olver (15 December 1924--23 April 2013)", fjournal = "Methods and Applications of Analysis", journal-URL = "http://www.intlpress.com/MAA/", } @Article{Olver:1995:AER, author = "F. W. J. Olver", title = "On an asymptotic expansion of a ratio of gamma functions", journal = j-PROC-R-IR-ACAD-SECT-A, volume = "95", number = "1", pages = "5--9", year = "1995", CODEN = "PRIAAK", ISSN = "0035-8975", ISSN-L = "0035-8975", MRclass = "33B15 (34E05)", MRnumber = "1369039", MRreviewer = "Richard B. Paris", bibdate = "Sun Nov 5 09:03:34 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", acknowledgement = ack-nhfb, ajournal = "Proc. Roy. Irish Acad. Sect. A", author-dates = "Frank William John Olver (15 December 1924--23 April 2013)", fjournal = "Proceedings of the Royal Irish Academy. Section A. Mathematical and Physical Sciences", journal-URL = "https://www.jstor.org/journal/mathprocria; https://www.ria.ie/mathematical-proceedings-royal-irish-academy-0", remark = "JSTOR has no content before v98A (1998), and ria.ie site has no local journal archives.", } @Article{Olver:1997:ASL, author = "F. W. J. Olver", title = "Asymptotic solutions of linear ordinary differential equations at an irregular singularity of rank unity", journal = j-METHODS-APPL-ANAL, volume = "4", number = "4", pages = "375--403", year = "1997", DOI = "https://doi.org/10.4310/MAA.1997.v4.n4.a2", ISSN = "1073-2772 (print), 1945-0001 (electronic)", ISSN-L = "1073-2772", MRclass = "34E05 (34A20)", MRnumber = "1605622", MRreviewer = "A. D. Wood", bibdate = "Sun Nov 5 09:03:34 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", acknowledgement = ack-nhfb, author-dates = "Frank William John Olver (15 December 1924--23 April 2013)", fjournal = "Methods and Applications of Analysis", journal-URL = "http://www.intlpress.com/MAA/", } @Article{Olver:1997:BRS, author = "Frank W. J. Olver", title = "Book Review: {{\em Special Functions: An Introduction to the Classical Functions of Mathematical Physics}, by Nico M. Temme}", journal = j-SIAM-REVIEW, volume = "39", number = "2", pages = "355--356", month = jun, year = "1997", CODEN = "SIREAD", DOI = "https://doi.org/10.1137/SIREAD000039000002000333000001", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Wed Apr 29 18:02:24 1998", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib; https://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, author-dates = "Frank William John Olver (15 December 1924--23 April 2013)", fjournal = "SIAM Review", journal-URL = "http://epubs.siam.org/sirev", } @Article{OldeDaalhuis:1998:ANS, author = "A. B. {Olde Daalhuis} and F. W. J. Olver", title = "On the asymptotic and numerical solution of linear ordinary differential equations", journal = j-SIAM-REVIEW, volume = "40", number = "3", pages = "463--495", year = "1998", CODEN = "SIREAD", DOI = "https://doi.org/10.1137/S0036144597315341", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", MRclass = "34E05 (34A30 65L99)", MRnumber = "1642803", MRreviewer = "W. Balser", bibdate = "Sun Nov 5 09:03:34 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", acknowledgement = ack-nhfb, author-dates = "Frank William John Olver (15 December 1924--23 April 2013)", fjournal = "SIAM Review", journal-URL = "http://epubs.siam.org/sirev", } @InProceedings{Olver:1998:AAN, author = "F. W. J. Olver", editor = "H-H. Dai and P. L. Sachdev", booktitle = "Recent advances in differential equations ({Kunming}, 1997)", title = "Advances in the asymptotic and numerical solution of linear ordinary differential equations", volume = "386", publisher = pub-LONGMAN, address = pub-LONGMAN:adr, pages = "3--14", year = "1998", ISBN = "0-582-32219-7", ISBN-13 = "978-0-582-32219-6", MRclass = "34E05 (65L06)", MRnumber = "1628037", bibdate = "Sun Nov 5 09:03:34 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", series = "Pitman Res. Notes Math. Ser.", acknowledgement = ack-nhfb, author-dates = "Frank William John Olver (15 December 1924--23 April 2013)", } @InCollection{Olver:1998:PPS, author = "Frank William John Olver", booktitle = "{Tricomi}'s ideas and contemporary applied mathematics ({Rome, 28--29 November, 1997\slash Turin, 1--2 December 1997})", title = "Practical problems in the solution of high-order linear differential equations", volume = "147", publisher = "Accademia Nazionale dei Lincei", address = "Rome, Italy", bookpages = "322", pages = "239--249", year = "1998", ISSN = "0391-805X", ISSN-L = "0391-805X", LCCN = "QA299.6 .T75 1998", MRclass = "34E05", MRnumber = "1737498", MRreviewer = "A. D. Wood", bibdate = "Tue Nov 7 07:29:51 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", series = "Atti Convegni Lincei", acknowledgement = ack-nhfb, author-dates = "Frank William John Olver (15 December 1924--23 April 2013)", subject-dates = "F. G. (Francesco Giacomo) Tricomi (1897--1978)", xxpublisher = "Accad. Naz. Lincei", } @Article{Fabijonas:1999:RAE, author = "Bruce R. Fabijonas and F. W. J. Olver", title = "On the reversion of an asymptotic expansion and the zeros of the {Airy} functions", journal = j-SIAM-REVIEW, volume = "41", number = "4", pages = "762--773", year = "1999", CODEN = "SIREAD", DOI = "https://doi.org/10.1137/S0036144598349538", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", MRclass = "33C10 (33F05 41A60 65D20)", MRnumber = "1723000", MRreviewer = "Eberhard Wagner", bibdate = "Sun Nov 5 09:03:34 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", acknowledgement = ack-nhfb, author-dates = "Frank William John Olver (15 December 1924--23 April 2013)", fjournal = "SIAM Review", journal-URL = "http://epubs.siam.org/sirev", } @Article{Olver:1999:UAS, author = "F. W. J. Olver", title = "On the uniqueness of asymptotic solutions of linear differential equations", journal = j-METHODS-APPL-ANAL, volume = "6", number = "2", pages = "165--174", year = "1999", DOI = "https://doi.org/10.4310/MAA.1999.v6.n2.a3", ISSN = "1073-2772 (print), 1945-0001 (electronic)", ISSN-L = "1073-2772", MRclass = "34E05 (34A30 34A45 34M30)", MRnumber = "1803888", MRreviewer = "P. K. Palamides", bibdate = "Sun Nov 5 09:03:34 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", note = "Dedicated to Richard A. Askey on the occasion of his 65th birthday, Part II", acknowledgement = ack-nhfb, author-dates = "Frank William John Olver (15 December 1924--23 April 2013)", fjournal = "Methods and Applications of Analysis", journal-URL = "http://www.intlpress.com/MAA/", } @InProceedings{Olver:2000:RDE, author = "F. W. J. Olver", title = "Resurgence in difference equations, with an application to {Legendre} functions", crossref = "Dunkl:2000:PIW", pages = "221--235", year = "2000", MRclass = "39A12 (39-02 41A60)", MRnumber = "1805986", bibdate = "Sun Nov 5 09:03:34 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", acknowledgement = ack-nhfb, author-dates = "Frank William John Olver (15 December 1924--23 April 2013)", } @Misc{Fabijonas:2004:AXA, author = "Bruce R. Fabijonas and Daniel W. Lozier and Frank W. Olver", title = "Algorithm xxx: {Airy} Functions", howpublished = "NIST Web site", day = "15", month = dec, year = "2004", bibdate = "Sun Nov 05 16:59:07 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", URL = "https://www.nist.gov/publications/algorithm-xxx-airy-functions", abstract = "We present a Fortran 90 module which computes the solutions of Airy's differential equation, and their derivatives, both on the real line and in the complex plane. The computational methods are numerical integration of the differential equation and summation of asymptotic expansions for large argument. The module also computes the zeros and associated values of the solutions and their derivatives, and modulus and phase functions on the negative real axis", acknowledgement = ack-nhfb, author-dates = "Frank William John Olver (15 December 1924--23 April 2013)", } @Article{Fabijonas:2004:CCA, author = "B. R. Fabijonas and Daniel W. Lozier and F. W. J. Olver", title = "Computation of complex {Airy} functions and their zeros using asymptotics and the differential equation", journal = j-TOMS, volume = "30", number = "4", pages = "471--490", year = "2004", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/1039813.1039818", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "33F05 (65D20)", MRnumber = "2124440", bibdate = "Sun Nov 5 09:03:34 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib; https://www.math.utah.edu/pub/tex/bib/fparith.bib", acknowledgement = ack-nhfb, author-dates = "Frank William John Olver (15 December 1924--23 April 2013)", fjournal = "Association for Computing Machinery. Transactions on Mathematical Software", journal-URL = "http://dl.acm.org/pub.cfm?id=J782", } @Article{Olver:2004:CCM, author = "Frank Olver", title = "{Charles Clenshaw}: Mathematician with a flair for numerical analysis", journal = j-GUARDIAN, volume = "??", number = "??", pages = "??--??", day = "28", month = oct, year = "2004", ISSN = "0261-3077 (print), 1756-3224 (electronic)", ISSN-L = "0261-3077", bibdate = "Sun Nov 12 08:15:36 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib; https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", URL = "https://www.theguardian.com/news/2004/oct/29/guardianobituaries.obituaries", acknowledgement = ack-nhfb, fjournal = "The Guardian", subject-dates = "Charles William Clenshaw (15 March 1926--23 September 2004); Frank William John Olver (15 December 1924--23 April 2013)", } @Misc{Olver:2009:HP, author = "Frank W. J. Olver", title = "Home page", howpublished = "Archived Web site", day = "13", month = jul, year = "2009", bibdate = "Mon Nov 06 05:28:55 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", URL = "https://web.archive.org/web/20100530002944/http://www.ipst.umd.edu/researchandfaculty/Olver/", acknowledgement = ack-nhfb, author-dates = "Frank William John Olver (15 December 1924--23 April 2013)", } @InCollection{Olver:2010:AA, author = "F. W. J. Olver and R. Wong", booktitle = "{NIST} handbook of mathematical functions", title = "Asymptotic approximations", publisher = "U.S. Department of Commerce", address = "Washington, DC, USA", pages = "41--70", year = "2010", ISBN = "0-521-14063-3", ISBN-13 = "978-0-521-14063-8", MRclass = "41A60 (65D20)", MRnumber = "2655342", bibdate = "Sun Nov 5 09:03:34 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", acknowledgement = ack-nhfb, author-dates = "Frank William John Olver (15 December 1924--23 April 2013)", } @InCollection{Olver:2010:ARF, author = "F. W. J. Olver", booktitle = "{NIST} handbook of mathematical functions", title = "{Airy} and related functions", publisher = "U.S. Department of Commerce", address = "Washington, DC, USA", pages = "193--213", year = "2010", ISBN = "0-521-14063-3", ISBN-13 = "978-0-521-14063-8", MRclass = "33C10", MRnumber = "2655349", bibdate = "Sun Nov 5 09:03:34 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib; https://www.math.utah.edu/pub/tex/bib/elefunt.bib", acknowledgement = ack-nhfb, author-dates = "Frank William John Olver (15 December 1924--23 April 2013)", } @InCollection{Olver:2010:BF, author = "F. W. J. Olver and L. C. Maximon", booktitle = "{NIST} handbook of mathematical functions", title = "{Bessel} functions", publisher = "U.S. Department of Commerce", address = "Washington, DC, USA", pages = "215--286", year = "2010", ISBN = "0-521-14063-3", ISBN-13 = "978-0-521-14063-8", MRclass = "33C10", MRnumber = "2655350", bibdate = "Sun Nov 5 09:03:34 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib; https://www.math.utah.edu/pub/tex/bib/elefunt.bib", acknowledgement = ack-nhfb, author-dates = "Frank William John Olver (15 December 1924--23 April 2013)", } @InCollection{Roy:2010:AAM, author = "R. Roy and F. W. J. Olver and R. A. Askey and R. Wong", booktitle = "{NIST} handbook of mathematical functions", title = "Algebraic and analytic methods", publisher = "U.S. Department of Commerce", address = "Washington, DC, USA", pages = "1--39", year = "2010", ISBN = "0-521-14063-3", ISBN-13 = "978-0-521-14063-8", MRclass = "26-01 (15-01 30-01)", MRnumber = "2655341", bibdate = "Sun Nov 5 09:03:34 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", acknowledgement = ack-nhfb, author-dates = "Frank William John Olver (15 December 1924--23 April 2013)", } @InCollection{Roy:2010:EF, author = "R. Roy and F. W. J. Olver", booktitle = "{NIST} handbook of mathematical functions", title = "Elementary functions", publisher = "U.S. Department of Commerce", address = "Washington, DC, USA", pages = "103--134", year = "2010", ISBN = "0-521-14063-3", ISBN-13 = "978-0-521-14063-8", MRclass = "33B10", MRnumber = "2655344", bibdate = "Sun Nov 5 09:03:34 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib; https://www.math.utah.edu/pub/tex/bib/elefunt.bib", acknowledgement = ack-nhfb, author-dates = "Frank William John Olver (15 December 1924--23 April 2013)", } @Article{Boisvert:2011:SFH, author = "Ronald F. Boisvert and Charles W. Clark and Daniel W. Lozier and Frank W. Olver", title = "A Special Functions Handbook for the Digital Age", journal = j-NAMS, volume = "58", number = "7", pages = "905--911", day = "1", month = aug, year = "2011", CODEN = "AMNOAN", ISSN = "0002-9920 (print), 1088-9477 (electronic)", ISSN-L = "0002-9920", bibdate = "Sun Nov 05 14:45:29 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", URL = "https://www.ams.org/journals/notices/201107/201107-full-issue.pdf; https://www.nist.gov/publications/special-functions-handbook-digital-age", abstract = "The NIST Digital Library of Mathematical Functions (DLMF) is a reference work providing information on the properties of the special functions of applied mathematics. It is a successor to the highly successful NBS Handbook of Mathematical Functions (Abramowitz and Stegun, eds., 1964). The DLMF is distributed as both a freely available online resource and as a traditional printed handbook. Here we describe the project's origin and how it was carried out. We also contrast the DLMF's technical content with that of Abramowitz \& Stegun, and describe some of its innovative online features", acknowledgement = ack-nhfb, author-dates = "Frank William John Olver (15 December 1924--23 April 2013)", fjournal = "Notices of the American Mathematical Society", journal-URL = "http://www.ams.org/notices/", } @Article{Olver:2014:MIM, author = "F. W. J. Olver", title = "Mathematics that has intrigued me", journal = j-ANAL-APPL, volume = "12", number = "4", pages = "341--354", year = "2014", DOI = "https://doi.org/10.1142/S0219530514500262", ISSN = "0219-5305 (print), 1793-6861 (electronic)", ISSN-L = "0219-5305", MRclass = "33-03 (01A70 39A06 65-03)", MRnumber = "3218916", bibdate = "Sun Nov 5 09:03:34 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib; https://www.math.utah.edu/pub/tex/bib/benfords-law.bib", note = "Lecture delivered at Asymptotics and Applied Analysis, Conference in Honor of Frank W. J. Olver's 75th Birthday, January 10--14, 2000, San Diego State University, San Diego, California.", acknowledgement = ack-nhfb, ajournal = "Anal. Appl. (Singap.)", author-dates = "Frank William John Olver (15 December 1924--23 April 2013)", fjournal = "Analysis and Applications", journal-URL = "https://www.worldscientific.com/worldscinet/aa", remark = "This paper was completed after Frank Olver's death by his son, Peter J. Olver, from handwritten notes. It also contains a summary of Frank Olver's education and career. In the paper, Frank Olver discusses the application of Benford's Law to test data selection.", }

%%% ==================================================================== %%% Part 2: Other publications reviewed by Frank W. J. Olver %%% %%% Bibliography entries, sorted by year, and then by citation label:

@Article{Kreyszig:1960:RUB, author = "Erwin Kreyszig and John Todd", title = "The radius of univalence of {Bessel} functions. {I}", journal = j-ILL-J-MATH, volume = "4", number = "2", pages = "143--149", month = mar, year = "1960", CODEN = "IJMTAW", DOI = "https://doi.org/10.1215/ijm/1255455740", ISSN = "0019-2082 (print), 1945-6581 (electronic)", ISSN-L = "0019-2082", MRclass = "33.00 (30.00)", MRnumber = "110827", MRreviewer = "F. W. J. Olver", bibdate = "Sat Oct 21 14:25:01 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib; https://www.math.utah.edu/pub/bibnet/authors/t/todd-john.bib", URL = "http://projecteuclid.org/euclid.ijm/1255455740", ZMnumber = "0091.06203", acknowledgement = ack-nhfb, fjournal = "Illinois Journal of Mathematics", journal-URL = "https://projecteuclid.org/journals/illinois-journal-of-mathematics", reviewer-dates = "Frank William John Olver (15 December 1924--23 April 2013); John Todd (16 May 1911--21 June 2007)", ZBmath = "3148561", } @Book{Knol:1970:GTR, author = "Wolter Knol", title = "Generalizations of two relations in {Bessel} function theory", publisher = "Rijksuniversiteit te Groningen", address = "Groningen, The Netherlands", pages = "iii + 118", year = "1970", MRclass = "33A40", MRnumber = "357897", MRreviewer = "F. W. J. Olver", bibdate = "Tue Nov 7 09:19:06 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", note = "Doctoral dissertation, University of Groningen", acknowledgement = ack-nhfb, reviewer-dates = "Frank William John Olver (15 December 1924--23 April 2013)", } @Article{Chatterjea:1971:ODS, author = "S. K. Chatterjea", title = "Operational derivation of some generating functions of the {Bessel} polynomials", journal = "Math. Balkanica", volume = "1", pages = "293--297", year = "1971", ISSN = "0350-2007", MRclass = "33.25", MRnumber = "289821", MRreviewer = "F. W. J. Olver", bibdate = "Tue Nov 7 09:19:06 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", acknowledgement = ack-nhfb, fjournal = "Mathematica Balkanica", reviewer-dates = "Frank William John Olver (15 December 1924--23 April 2013)", } @Article{Olkha:1971:GBF, author = "G. S. Olkha and P. N. Rathie", title = "On a generalized {Bessel} function and an integral transform", journal = j-MATH-NACHR, volume = "51", number = "1--6", pages = "231--240", year = "1971", CODEN = "MTMNAQ", DOI = "https://doi.org/10.1002/mana.19710510115", ISSN = "0022-2526 (print), 1467-9590 (electronic)", ISSN-L = "0022-2526", MRclass = "33A40", MRnumber = "306574", MRreviewer = "F. W. J. Olver", bibdate = "Tue Nov 7 09:19:06 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", acknowledgement = ack-nhfb, fjournal = "Mathematische Nachrichten", journal-URL = "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1522-2616", reviewer-dates = "Frank William John Olver (15 December 1924--23 April 2013)", } @Article{Heading:1972:FEA, author = "John Heading", title = "Further exact and approximate considerations of the barrier problem", journal = j-J-INST-MATH-APPL, volume = "10", number = "??", pages = "312--324", year = "1972", CODEN = "JMTAA8", ISSN = "0020-2932", ISSN-L = "0020-2932", MRclass = "78.34", MRnumber = "49 #1927 (337155)", MRreviewer = "F. W. J. Olver", bibdate = "Tue Nov 7 09:19:06 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib; https://www.math.utah.edu/pub/tex/bib/jinstmathappl.bib", acknowledgement = ack-nhfb, fjournal = "Journal of the Institute of Mathematics and its Applications", journal-URL = "http://imamat.oxfordjournals.org/content/by/year", reviewer-dates = "Frank William John Olver (15 December 1924--23 April 2013)", } @Article{Lakin:1972:BVP, author = "W. D. Lakin", title = "Boundary value problems with a turning point", journal = j-STUD-APPL-MATH, volume = "51", pages = "261--275", year = "1972", CODEN = "SAPMB6", DOI = "https://doi.org/10.1002/sapm1972513261", ISSN = "0022-2526 (print), 1467-9590 (electronic)", ISSN-L = "0022-2526", MRclass = "34E20", MRnumber = "355236", MRreviewer = "F. W. J. Olver", bibdate = "Tue Nov 7 09:19:06 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", acknowledgement = ack-nhfb, fjournal = "Studies in Applied Mathematics", journal-URL = "http://onlinelibrary.wiley.com/journal/10.1111/(ISSN)1467-9590", reviewer-dates = "Frank William John Olver (15 December 1924--23 April 2013)", } @Article{Muldoon:1972:SIW, author = "M. E. Muldoon", title = "Singular integrals whose kernels involve certain {Sturm--Liouville} functions. {II}", journal = j-INDIANA-U-MATH, volume = "22", number = "1", pages = "51--63", year = "1972/73", CODEN = "IUMJAB", DOI = "https://doi.org/10.1512/iumj.1972.22.22007", ISSN = "0022-2518", ISSN-L = "0022-2518", MRclass = "44A25 (40G05)", MRnumber = "299994", MRreviewer = "F. W. J. Olver", bibdate = "Tue Nov 7 09:19:06 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", acknowledgement = ack-nhfb, fjournal = "Indiana University Mathematics Journal", journal-URL = "http://www.iumj.indiana.edu/", reviewer-dates = "Frank William John Olver (15 December 1924--23 April 2013)", } @Article{Steinig:1972:SLF, author = "J. Steinig", title = "The sign of {Lommel}'s function", journal = j-TRANS-AM-MATH-SOC, volume = "163", pages = "123--129", year = "1972", CODEN = "TAMTAM", DOI = "https://doi.org/10.2307/1995711", ISSN = "0002-9947 (print), 1088-6850 (electronic)", ISSN-L = "0002-9947", MRclass = "33.25", MRnumber = "284625", MRreviewer = "F. W. J. Olver", bibdate = "Tue Nov 7 09:19:06 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", acknowledgement = ack-nhfb, fjournal = "Transactions of the American Mathematical Society", journal-URL = "http://www.ams.org/journals/tran/", reviewer-dates = "Frank William John Olver (15 December 1924--23 April 2013)", } @Article{Bhatnagar:1973:LTI, author = "P. L. Bhatnagar", title = "{Lommel} type integrals involving products of three {Bessel} functions", journal = "Comment. Math. Univ. St. Paul.", volume = "22", number = "1", pages = "1--11", year = "1973", ISSN = "0010-258X", MRclass = "33A40", MRnumber = "328155", MRreviewer = "F. W. J. Olver", bibdate = "Tue Nov 7 09:19:06 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", acknowledgement = ack-nhfb, fjournal = "Commentarii Mathematici Universitatis Sancti Pauli", reviewer-dates = "Frank William John Olver (15 December 1924--23 April 2013)", } @Article{Lorch:1973:SMP, author = "Lee Lorch and M. E. Muldoon and Peter Szego", title = "Some monotonicity properties of {Bessel} functions", journal = j-SIAM-J-MATH-ANA, volume = "4", number = "2", pages = "385--392", month = may, year = "1973", CODEN = "SJMAAH", DOI = "https://doi.org/10.1137/0504034", ISSN = "0036-1410 (print), 1095-7154 (electronic)", ISSN-L = "0036-1410", MRclass = "33A40", MRnumber = "338479", MRreviewer = "F. W. J. Olver", bibdate = "Tue Nov 7 09:19:06 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Mathematical Analysis", journal-URL = "http://epubs.siam.org/sima", reviewer-dates = "Frank William John Olver (15 December 1924--23 April 2013)", } @Article{Ojha:1973:SRG, author = "S. N. Ojha", title = "Some results of generalised {Legendre} polynomials", journal = "Math. Education", volume = "7", pages = "A84--A89", year = "1973", MRclass = "33A45", MRnumber = "335885", MRreviewer = "F. W. J. Olver", bibdate = "Tue Nov 7 09:19:06 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", acknowledgement = ack-nhfb, fjournal = "The Mathematics Education", reviewer-dates = "Frank William John Olver (15 December 1924--23 April 2013)", } @Article{Salchev:1973:DZC, author = "L. Z. Salchev and V. B. Popov", title = "Determination of the zeros of a cross-product {Bessel} function", journal = j-PROC-CAMBRIDGE-PHIL-SOC, volume = "74", number = "3", pages = "477--483", month = nov, year = "1973", CODEN = "PCPSA4", DOI = "https://doi.org/10.1017/s0305004100077240", ISSN = "0008-1981", ISSN-L = "0008-1981", MRclass = "33A40", MRnumber = "324097", MRreviewer = "F. W. J. Olver", bibdate = "Tue Nov 7 09:19:06 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", acknowledgement = ack-nhfb, fjournal = "Proceedings of the Cambridge Philosophical Society", journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=PSP", reviewer-dates = "Frank William John Olver (15 December 1924--23 April 2013)", } @Article{Parodi:1974:SDT, author = "Maurice Parodi", title = "Sur la s{\'e}rie dont le terme g{\'e}n{\'e}ral est {\'e}gal {\`a} la somme des puissances $ \mu $-i{\`e}me des z{\'e}ros d'un polyn{\^o}me de {Legendre}. ({French}) [{On} the series whose general term is equal to the sum of the $ \mu $-th powers of the zeros of a {Legendre} polynomial]", journal = "C. R. Acad. Sci. Paris S\'{e}r. A", volume = "278", pages = "153--154", year = "1974", ISSN = "0302-8429", MRclass = "33A45", MRnumber = "335886", MRreviewer = "F. W. J. Olver", bibdate = "Tue Nov 7 09:19:06 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", acknowledgement = ack-nhfb, fjournal = "Comptes Rendus Hebdomadaires des S\'{e}ances de l'Acad\'{e}mie des Sciences. S\'{e}rie A. Sciences Math\'{e}matiques", language = "French", reviewer-dates = "Frank William John Olver (15 December 1924--23 April 2013)", } @Article{Heading:1975:BBT, author = "John Heading", title = "Barriers bounded by two transition points of arbitrary odd order", journal = j-PROC-R-SOC-EDINB-SECT-A-MATH, volume = "73", pages = "51--64", year = "1975", CODEN = "PEAMDU", DOI = "https://doi.org/10.1017/S0308210500016279", ISSN = "0308-2105 (print), 1473-7124 (electronic)", ISSN-L = "0308-2105", MRclass = "34E20 (34A20)", MRnumber = "387752", MRreviewer = "F. W. J. Olver", bibdate = "Tue Nov 7 09:19:06 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", acknowledgement = ack-nhfb, fjournal = "Proceedings of the Royal Society of Edinburgh. Section A. Mathematics", journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=PRM", reviewer-dates = "Frank William John Olver (15 December 1924--23 April 2013)", } @Article{Headley:1975:DZG, author = "V. B. Headley and V. K. Barwell", title = "On the distribution of the zeros of generalized {Airy} functions", journal = j-MATH-COMPUT, volume = "29", number = "131", pages = "863--877", month = jul, year = "1975", CODEN = "MCMPAF", DOI = "https://doi.org/10.2307/2005299", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65D20 (33A70)", MRnumber = "378360", MRreviewer = "F. W. J. Olver", bibdate = "Tue Nov 7 09:19:06 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", acknowledgement = ack-nhfb, fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", reviewer-dates = "Frank William John Olver (15 December 1924--23 April 2013)", } @Article{MacGillivray:1975:UCP, author = "A. D. MacGillivray", title = "On {Ursell}'s combinatorial problem", journal = j-J-MATH-PHYS, volume = "16", number = "9", pages = "1735--1738", year = "1975", CODEN = "JMAPAQ", DOI = "https://doi.org/10.1063/1.522773", ISSN = "0022-2488", ISSN-L = "0022-2488", MRclass = "33A70 (34E05)", MRnumber = "385206", MRreviewer = "F. W. J. Olver", bibdate = "Tue Nov 7 09:19:06 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", acknowledgement = ack-nhfb, fjournal = "Journal of Mathematical Physics", journal-URL = "http://jmp.aip.org/", reviewer-dates = "Frank William John Olver (15 December 1924--23 April 2013)", } @Article{Paris:1975:ABS, author = "R. B. Paris", title = "The asymptotic behaviour of solutions of the differential equation $ d^4 u / d z^4 + [z^2 (d^2 u / d z^2) + a z (d u / d z) + b u] = 0 $", journal = j-PROC-R-SOC-LOND-SER-A-MATH-PHYS-SCI, volume = "346", number = "1645", pages = "171--207", year = "1975", CODEN = "PRLAAZ", DOI = "https://doi.org/10.1098/rspa.1975.0172", ISSN = "0962-8444 (print), 2053-9177 (electronic)", ISSN-L = "0962-8444", MRclass = "34E05 (33A40)", MRnumber = "390401", MRreviewer = "F. W. J. Olver", bibdate = "Tue Nov 7 09:19:06 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", acknowledgement = ack-nhfb, fjournal = "Proceedings of the Royal Society. London. Series A. Mathematical, Physical and Engineering Sciences", journal-URL = "http://rspa.royalsocietypublishing.org/", reviewer-dates = "Frank William John Olver (15 December 1924--23 April 2013)", } @Article{Boersma:1976:PLI, author = "J. Boersma", title = "Problem 75-20, ``{Limit} of an integral'', by {M. L. Glasser}", journal = j-SIAM-REVIEW, volume = "18", number = "4", pages = "770--772", year = "1976", CODEN = "SIREAD", DOI = "https://doi.org/10.1137/1018126", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", MRclass = "33A40", MRnumber = "409924", MRreviewer = "F. W. J. Olver", bibdate = "Tue Nov 7 09:19:06 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review. A Publication of the Society for Industrial and Applied Mathematics", journal-URL = "http://epubs.siam.org/sirev", reviewer-dates = "Frank William John Olver (15 December 1924--23 April 2013)", } @Article{Buschman:1976:LFI, author = "R. G. Buschman", title = "{Legendre} functions, inequalities and partial derivatives", journal = "Ranchi Univ. Math. J.", volume = "7", pages = "28--32", year = "1976", ISSN = "0079-9602", MRclass = "33A45", MRnumber = "591700", MRreviewer = "F. W. J. Olver", bibdate = "Tue Nov 7 09:19:06 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", acknowledgement = ack-nhfb, fjournal = "Ranchi University Mathematical Journal", reviewer-dates = "Frank William John Olver (15 December 1924--23 April 2013)", } @Article{Ismail:1976:BPS, author = "Mourad E. H. Ismail and Douglas H. Kelker", title = "The {Bessel} polynomials and the {Student} $t$ distribution", journal = j-SIAM-J-MATH-ANA, volume = "7", number = "1", pages = "82--91", year = "1976", CODEN = "SJMAAH", DOI = "https://doi.org/10.1137/0507009", ISSN = "0036-1410 (print), 1095-7154 (electronic)", ISSN-L = "0036-1410", MRclass = "62E15 (33A40)", MRnumber = "391343", MRreviewer = "F. W. J. Olver", bibdate = "Tue Nov 7 09:19:06 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Mathematical Analysis", journal-URL = "http://epubs.siam.org/sima", reviewer-dates = "Frank William John Olver (15 December 1924--23 April 2013)", } @Article{Tremblay:1976:SIP, author = "Richard Tremblay and Marie-Louis Lavertu", title = "Sur une s{\'e}rie impliquant les puissances des z{\'e}ros d'un polyn{\^o}me", journal = j-C-R-ACAD-SCI-PARIS-SER-AB, volume = "282", number = "3", pages = "Aii, A155--A157", year = "1976", CODEN = "CHASAP", ISSN = "0151-0509", MRclass = "33A65 (30A08)", MRnumber = "397053", MRreviewer = "F. W. J. Olver", bibdate = "Tue Nov 7 09:19:06 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", acknowledgement = ack-nhfb, fjournal = "Comptes Rendus Hebdomadaires des S\'{e}ances de l'Acad\'{e}mie des Sciences. S\'{e}ries A et B", reviewer-dates = "Frank William John Olver (15 December 1924--23 April 2013)", } @Article{Berg:1977:ARA, author = "L. Berg", title = "Zur {Absch}{\"a}tzung des {Restgliedes} in der asymptotischen {Entwicklung} des {Exponentialintegrals}", journal = j-COMPUTING, volume = "18", number = "4", pages = "361--363", year = "1977", CODEN = "CMPTA2", DOI = "https://doi.org/10.1007/BF02244022", ISSN = "0010-485X (print), 1436-5057 (electronic)", ISSN-L = "0010-485X", MRclass = "33A15 (41A60)", MRnumber = "477181", MRreviewer = "F. W. J. Olver", bibdate = "Tue Nov 7 09:19:06 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", acknowledgement = ack-nhfb, fjournal = "Computing. Archives for Scientific Computing", journal-URL = "http://link.springer.com/journal/607", language = "German", reviewer-dates = "Frank William John Olver (15 December 1924--23 April 2013)", } @Article{Bottema:1977:ZBP, author = "O. Bottema", title = "On the zeros of the {Bessel} polynomials", journal = j-INDAG-MATH, volume = "39", number = "5", pages = "380--382", year = "1977", CODEN = "IMTHBJ", ISSN = "0019-3577, 0023-3358", ISSN-L = "0019-3577", MRclass = "33A65", MRnumber = "463530", MRreviewer = "F. W. J. Olver", bibdate = "Tue Nov 7 09:19:06 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", note = "Nederl. Akad. Wetensch. Proc. Ser. A {\bf 80}", acknowledgement = ack-nhfb, fjournal = "", reviewer-dates = "Frank William John Olver (15 December 1924--23 April 2013)", } @Article{Ismail:1977:IRC, author = "Mourad E. H. Ismail", title = "Integral representations and complete monotonicity of various quotients of {Bessel} functions", journal = j-CAN-J-MATH, volume = "29", number = "6", pages = "1198--1207", year = "1977", CODEN = "CJMAAB", DOI = "https://doi.org/10.4153/CJM-1977-119-5", ISSN = "0008-414X", ISSN-L = "0008-414X", MRclass = "33A40 (44A20)", MRnumber = "463527", MRreviewer = "F. W. J. Olver", bibdate = "Tue Nov 7 09:19:06 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", acknowledgement = ack-nhfb, fjournal = "Canadian Journal of Mathematics. Journal Canadien de Math\'{e}matiques", journal-URL = "http://cms.math.ca/cjm/", reviewer-dates = "Frank William John Olver (15 December 1924--23 April 2013)", } @Article{McCann:1977:LBZ, author = "Roger C. McCann", title = "Lower bounds for the zeros of {Bessel} functions", journal = j-PROC-AM-MATH-SOC, volume = "64", number = "1", pages = "101--103", year = "1977", CODEN = "PAMYAR", DOI = "https://doi.org/10.2307/2040991", ISSN = "0002-9939 (print), 1088-6826 (electronic)", ISSN-L = "0002-9939", MRclass = "33A40", MRnumber = "442316", MRreviewer = "F. W. J. Olver", bibdate = "Tue Nov 7 09:19:06 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", acknowledgement = ack-nhfb, fjournal = "Proceedings of the American Mathematical Society", journal-URL = "http://www.ams.org/journals/proc", reviewer-dates = "Frank William John Olver (15 December 1924--23 April 2013)", } @Article{Cash:1978:EOM, author = "J. R. Cash", title = "An extension of {Olver}'s method for the numerical solution of linear recurrence relations", journal = j-MATH-COMPUT, volume = "32", number = "142", pages = "497--510", month = apr, year = "1978", CODEN = "MCMPAF", DOI = "https://doi.org/10.2307/2006159", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65Q05", MRnumber = "483578", MRreviewer = "F. W. J. Olver", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib; https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "C4170 (Differential equations)", corpsource = "Dept. of Math., Imperial Coll., London, UK", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "differential equations; Gaussian elimination; linear recurrence; numerical solution; Olver's method; relations; truncation error; unstable error propagation", reviewer-dates = "Frank William John Olver (15 December 1924--23 April 2013)", subject-dates = "Frank William John Olver (15 December 1924--23 April 2013)", treatment = "T Theoretical or Mathematical", } @Article{Davis:1978:NEL, author = "A. M. J. Davis", title = "Non-existence of large eigenvalues of a third order differential equation", journal = j-MATHEMATIKA, volume = "25", number = "1", pages = "151--159", year = "1978", CODEN = "MTKAAB", DOI = "https://doi.org/10.1112/S0025579300009372", ISSN = "0025-5793", MRclass = "34B05 (34E20)", MRnumber = "499403", MRreviewer = "F. W. J. Olver", bibdate = "Tue Nov 7 09:19:06 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", acknowledgement = ack-nhfb, fjournal = "Mathematika. A Journal of Pure and Applied Mathematics", journal-URL = "https://www.cambridge.org/core/journals/mathematika/all-issues", reviewer-dates = "Frank William John Olver (15 December 1924--23 April 2013)", } @Article{Temme:1978:UAE, author = "N. M. Temme", title = "Uniform asymptotic expansions of confluent hypergeometric functions", journal = j-J-INST-MATH-APPL, volume = "22", number = "2", pages = "215--223", year = "1978", CODEN = "JMTAA8", ISSN = "0020-2932", ISSN-L = "0020-2932", MRclass = "33A30", MRnumber = "80a:33004 (509160)", MRreviewer = "F. W. J. Olver", bibdate = "Tue Nov 7 09:19:06 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib; https://www.math.utah.edu/pub/tex/bib/elefunt.bib; https://www.math.utah.edu/pub/tex/bib/jinstmathappl.bib; MathSciNet database", acknowledgement = ack-nhfb, fjournal = "Journal of the Institute of Mathematics and its Applications", journal-URL = "http://imamat.oxfordjournals.org/content/by/year", reviewer-dates = "Frank William John Olver (15 December 1924--23 April 2013)", } @Article{Baldwin:1979:UAS, author = "P. Baldwin", title = "Uniform approximations to solutions of a linear second-order differential equation outside a vanishingly small region containing two asymptotically coincident t", journal = j-QUART-J-MECH-APPLIED-MATH, volume = "32", number = "2", pages = "187--204", year = "1979", CODEN = "QJMMAV", DOI = "https://doi.org/10.1093/qjmam/32.2.187", ISSN = "0033-5614 (print), 1464-3855 (electronic)", ISSN-L = "0033-5614", MRclass = "34E20 (33A40)", MRnumber = "537352", MRreviewer = "F. W. J. Olver", bibdate = "Tue Nov 7 09:19:06 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", acknowledgement = ack-nhfb, fjournal = "The Quarterly Journal of Mechanics and Applied Mathematics", journal-URL = "http://qjmam.oxfordjournals.org/content/by/year", reviewer-dates = "Frank William John Olver (15 December 1924--23 April 2013)", } @Article{Hinton:1979:SMC, author = "F. L. Hinton", title = "{Stokes} multipliers for a class of ordinary differential equations", journal = j-J-MATH-PHYS, volume = "20", number = "10", pages = "2036--2046", month = oct, year = "1979", CODEN = "JMAPAQ", DOI = "https://doi.org/10.1063/1.523969", ISSN = "0022-2488 (print), 1089-7658 (electronic), 1527-2427", ISSN-L = "0022-2488", MRclass = "34E20 (33A30 33A55)", MRnumber = "80m:34055 (546768)", MRreviewer = "F. W. J. Olver", bibdate = "Tue Nov 7 09:19:06 2023", bibsource = "http://jmp.aip.org/; https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib; https://www.math.utah.edu/pub/tex/bib/jmathphys1975.bib", URL = "http://jmp.aip.org/resource/1/jmapaq/v20/i10/p2036_s1", acknowledgement = ack-nhfb, classification = "A0230 (Function theory, analysis)", corpsource = "Fusion Res. Center, Univ. of Texas, Austin, TX, USA", fjournal = "Journal of Mathematical Physics", journal-URL = "http://jmp.aip.org/", keywords = "irregular singular point; linear differential equations; ordinary differential equations; Stokes multipliers; Whittaker's equation", onlinedate = "29 July 2008", pagecount = "11", reviewer-dates = "Frank William John Olver (15 December 1924--23 April 2013)", treatment = "T Theoretical or Mathematical", } @Article{Kohno:1979:EAF, author = "Mitsuhiko Kohno", title = "An extended {Airy} function of the first kind", journal = "Hiroshima Math. J.", volume = "9", number = "2", pages = "473--489", year = "1979", ISSN = "0018-2079", MRclass = "33A70 (34E05)", MRnumber = "535522", MRreviewer = "F. W. J. Olver", bibdate = "Tue Nov 7 09:19:06 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", URL = "http://projecteuclid.org/euclid.hmj/1206134896", acknowledgement = ack-nhfb, fjournal = "Hiroshima Mathematical Journal", reviewer-dates = "Frank William John Olver (15 December 1924--23 April 2013)", } @Article{Muldoon:1979:ZCP, author = "M. E. Muldoon", title = "On the zeros of a cross-product of {Bessel} functions of different orders", journal = j-Z-ANGE-MATH-MECH, volume = "59", number = "6", pages = "272--273", year = "1979", CODEN = "ZAMMAX", DOI = "https://doi.org/10.1002/zamm.19790590611", ISSN = "0044-2267 (print), 1521-4001 (electronic)", ISSN-L = "0044-2267", MRclass = "33A40", MRnumber = "545781", MRreviewer = "F. W. J. Olver", bibdate = "Tue Nov 7 09:19:06 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", acknowledgement = ack-nhfb, fjournal = "Zeitschrift f{\"{u}}r Angewandte Mathematik und Mechanik. Ingenieurwissenschaftliche Forschungsarbeiten", journal-URL = "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1521-4001", reviewer-dates = "Frank William John Olver (15 December 1924--23 April 2013)", } @Article{Coleman:1980:DRO, author = "J. P. Coleman", title = "Divergence rules {OK}?", journal = j-MATH-GAZ, volume = "64", number = "429", pages = "180--184", year = "1980", CODEN = "MAGAAS", DOI = "https://doi.org/10.2307/3615121", ISSN = "0025-5572 (print), 2056-6328 (electronic)", ISSN-L = "0025-5572", MRclass = "41A60 (40A05)", MRnumber = "594846", MRreviewer = "F. W. J. Olver", bibdate = "Tue Nov 7 09:19:06 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", acknowledgement = ack-nhfb, fjournal = "The Mathematical Gazette", journal-URL = "http://www.jstor.org/journal/mathgaze", reviewer-dates = "Frank William John Olver (15 December 1924--23 April 2013)", } @Article{Fransen:1980:HPV, author = "Arne Frans{\'e}n and Staffan Wrigge", title = "High-precision values of the gamma function and of some related coefficients", journal = j-MATH-COMPUT, volume = "34", number = "150", pages = "553--566", month = apr, year = "1980", CODEN = "MCMPAF", DOI = "https://doi.org/10.2307/2006104", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65A05 (65D20)", MRnumber = "81f:65004 (559204)", MRreviewer = "F. W. J. Olver", bibdate = "Tue Nov 7 09:19:06 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib; https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", note = "See addendum and corrigendum \cite{Fransen:1981:ACH}.", acknowledgement = ack-nhfb, fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", reviewer-dates = "Frank William John Olver (15 December 1924--23 April 2013)", } @Article{Fu:1980:AEB, author = "J. C. Fu and R. Wong", title = "An asymptotic expansion of a beta-type integral and its application to probabilities of large deviations", journal = j-PROC-AM-MATH-SOC, volume = "79", number = "3", pages = "410--414", year = "1980", CODEN = "PAMYAR", DOI = "https://doi.org/10.2307/2043076", ISSN = "0002-9939 (print), 1088-6826 (electronic)", ISSN-L = "0002-9939", MRclass = "60F10 (41A60 62E20)", MRnumber = "567982", MRreviewer = "F. W. J. Olver", bibdate = "Tue Nov 7 09:19:06 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", acknowledgement = ack-nhfb, fjournal = "Proceedings of the American Mathematical Society", journal-URL = "http://www.ams.org/journals/proc", reviewer-dates = "Frank William John Olver (15 December 1924--23 April 2013)", } @Article{Jordan:1980:BRC, author = "W. B. Jordan", title = "Book Review: {{\booktitle{A Conjectured Property of Legendre Functions}} (A. K. Raina and V. Singh)}", journal = j-SIAM-REVIEW, volume = "22", number = "3", pages = "369--372", month = jul, year = "1980", CODEN = "SIREAD", DOI = "https://doi.org/10.1137/1022067", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", MRclass = "41A60 (33A45)", MRnumber = "81m:41032", MRreviewer = "F. W. J. Olver", bibdate = "Sat Mar 29 09:53:11 MDT 2014", bibsource = "http://epubs.siam.org/toc/siread/22/3; https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib; https://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", journal-URL = "http://epubs.siam.org/sirev", onlinedate = "July 1980", reviewer-dates = "Frank William John Olver (15 December 1924--23 April 2013)", } @Article{Jordan:1980:CPL, author = "W. B. Jordan", title = "A conjectured property of {Legendre} functions", journal = j-SIAM-REVIEW, volume = "22", number = "3", pages = "369--372", year = "1980", CODEN = "SIREAD", DOI = "https://doi.org/10.1137/1022067", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", MRclass = "41A60 (33A45)", MRnumber = "584382", MRreviewer = "F. W. J. Olver", bibdate = "Tue Nov 7 09:19:06 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review. A Publication of the Society for Industrial and Applied Mathematics", journal-URL = "http://epubs.siam.org/sirev", reviewer-dates = "Frank William John Olver (15 December 1924--23 April 2013)", } @Article{Leo:1980:SFR, author = "Mario Leo and Rosario Antonio Leo and Giulio Soliani", title = "On a special function related to a class of solutions of certain nonlinear wave equations", journal = "Rend. Sem. Mat. Univ. Politec. Torino", volume = "38", number = "1", pages = "87--110", year = "1980", ISSN = "0373-1243", MRclass = "33A70 (35Q20)", MRnumber = "608932", MRreviewer = "F. W. J. Olver", bibdate = "Tue Nov 7 09:19:06 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", acknowledgement = ack-nhfb, fjournal = "Rendiconti del Seminario Matematico (gi\`a ``Conferenze di Fisica e di Matematica''). Universit\`a e Politecnico di Torino", reviewer-dates = "Frank William John Olver (15 December 1924--23 April 2013)", } @Article{Meyer:1980:EA, author = "R. E. Meyer", title = "Exponential Asymptotics", journal = j-SIAM-REVIEW, volume = "22", number = "2", pages = "213--224", month = apr, year = "1980", CODEN = "SIREAD", DOI = "https://doi.org/10.1137/1022030", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", MRclass = "41A60 (34E20)", MRnumber = "81c:41070 (564565)", MRreviewer = "F. W. J. Olver", bibdate = "Tue Nov 7 09:19:06 2023", bibsource = "http://epubs.siam.org/toc/siread/22/2; https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib; https://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review. A Publication of the Society for Industrial and Applied Mathematics", journal-URL = "http://epubs.siam.org/sirev", onlinedate = "April 1980", reviewer-dates = "Frank William John Olver (15 December 1924--23 April 2013)", } @Article{Paris:1980:AES, author = "R. B. Paris and A. D. Wood", title = "The asymptotic expansion of solutions of the differential equation $ u^{\rm iv} + \lambda^2 [(z^2 + c)u^{\prime \prime } + a z u^{\prime } + b u] = 0 $ for large $ |z| $", journal = j-PHILOS-TRANS-R-SOC-LOND-SER-A, volume = "293", number = "1404", pages = "511--533", year = "1980", CODEN = "PTRMAD, PTMSFB", DOI = "https://doi.org/10.1098/rsta.1980.0002", ISSN = "0080-4614 (print), 2054-0272 (electronic)", ISSN-L = "1364-503X", MRclass = "34E05", MRnumber = "557816", MRreviewer = "F. W. J. Olver", bibdate = "Tue Nov 7 09:19:06 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", acknowledgement = ack-nhfb, fjournal = "Philosophical Transactions of the Royal Society of London. Series A. Mathematical and Physical Sciences", journal-URL = "http://rsta.royalsocietypublishing.org/", reviewer-dates = "Frank William John Olver (15 December 1924--23 April 2013)", } @Article{Skinner:1980:UVE, author = "L. A. Skinner", title = "Uniformly Valid Expansions for {Laplace} Integrals", journal = j-SIAM-J-MATH-ANA, volume = "11", number = "6", pages = "1058--1067", month = nov, year = "1980", CODEN = "SJMAAH", DOI = "https://doi.org/10.1137/0511093", ISSN = "0036-1410 (print), 1095-7154 (electronic)", ISSN-L = "0036-1410", MRclass = "41A60", MRnumber = "82i:41038a (595831)", MRreviewer = "F. W. J. Olver", bibdate = "Tue Nov 7 09:19:06 2023", bibsource = "http://epubs.siam.org/sam-bin/dbq/toc/SIMA/11/6; https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib; https://www.math.utah.edu/pub/tex/bib/siamjmathana.bib", note = "See erratum \cite{Skinner:1981:EUV}.", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Mathematical Analysis", journal-URL = "http://epubs.siam.org/sima", reviewer-dates = "Frank William John Olver (15 December 1924--23 April 2013)", } @Article{Soni:1980:UAE, author = "Kusum Soni", title = "On uniform asymptotic expansions of finite {Laplace} and {Fourier} integrals", journal = j-PROC-R-SOC-EDINB-SECT-A-MATH, volume = "85", number = "3--4", pages = "299--305", year = "1980", CODEN = "PEAMDU", DOI = "https://doi.org/10.1017/S0308210500011872", ISSN = "0308-2105 (print), 1473-7124 (electronic)", ISSN-L = "0308-2105", MRclass = "41A60", MRnumber = "574023", MRreviewer = "F. W. J. Olver", bibdate = "Tue Nov 7 09:19:06 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", acknowledgement = ack-nhfb, fjournal = "Proceedings of the Royal Society of Edinburgh. Section A. Mathematics", journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=PRM", reviewer-dates = "Frank William John Olver (15 December 1924--23 April 2013)", } @Article{Wimp:1980:USF, author = "Jet Wimp", title = "Uniform scale functions and the asymptotic expansion of integrals", journal = j-LECT-NOTES-MATH, volume = "827", pages = "251--271", year = "1980", CODEN = "LNMAA2", DOI = "https://doi.org/10.1007/BFb0091383", ISBN = "3-540-10252-3 (print), 3-540-38346-8 (e-book)", ISBN-13 = "978-3-540-10252-6 (print), 978-3-540-38346-8 (e-book)", ISSN = "0075-8434 (print), 1617-9692 (electronic)", ISSN-L = "0075-8434", MRclass = "41-02 (41A60)", MRnumber = "610820 (82g:41002)", MRreviewer = "F. W. J. Olver", bibdate = "Fri May 9 19:07:28 MDT 2014", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib; https://www.math.utah.edu/pub/tex/bib/lnm1980.bib", URL = "http://link.springer.com/chapter/10.1007/BFb0091383/", acknowledgement = ack-nhfb, book-DOI = "https://doi.org/10.1007/BFb0091371", book-URL = "http://www.springerlink.com/content/978-3-540-38346-8", fjournal = "Lecture Notes in Mathematics", journal-URL = "http://link.springer.com/bookseries/304", reviewer-dates = "Frank William John Olver (15 December 1924--23 April 2013)", } @Article{Wong:1980:UAE, author = "R. Wong", title = "On a uniform asymptotic expansion of a {Fourier}-type integral", journal = j-QUART-APPL-MATH, volume = "38", number = "2", pages = "225--234", year = "1980/81", CODEN = "QAMAAY", DOI = "https://doi.org/10.1090/qam/580880", ISSN = "0033-569X (print), 1552-4485 (electronic)", ISSN-L = "0033-569X", MRclass = "41A60", MRnumber = "580880", MRreviewer = "F. W. J. Olver", bibdate = "Tue Nov 7 09:19:06 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", acknowledgement = ack-nhfb, fjournal = "Quarterly of Applied Mathematics", journal-URL = "http://dl.acm.org/citation.cfm?id=J641; http://www.ams.org/journals/qam", reviewer-dates = "Frank William John Olver (15 December 1924--23 April 2013)", } @Article{Boyd:1981:SLE, author = "John P. Boyd", title = "{Sturm--Liouville} eigenproblems with an interior pole", journal = j-J-MATH-PHYS, volume = "22", number = "8", pages = "1575--1590", month = aug, year = "1981", CODEN = "JMAPAQ", DOI = "https://doi.org/10.1063/1.525100", ISSN = "0022-2488 (print), 1089-7658 (electronic), 1527-2427", ISSN-L = "0022-2488", MRclass = "34E20 (34B25 65L15)", MRnumber = "82k:34067 (628532)", MRreviewer = "F. W. J. Olver", bibdate = "Tue Nov 7 09:19:06 2023", bibsource = "http://jmp.aip.org/; https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib; https://www.math.utah.edu/pub/tex/bib/jmathphys1980.bib", URL = "http://jmp.aip.org/resource/1/jmapaq/v22/i8/p1575_s1", acknowledgement = ack-nhfb, fjournal = "Journal of Mathematical Physics", journal-URL = "http://jmp.aip.org/", pagecount = "16", reviewer-dates = "Frank William John Olver (15 December 1924--23 April 2013)", } @Article{Painter:1981:NCM, author = "J. F. Painter and R. E. Meyer", title = "New connection method across more general turning points", journal = j-BULL-AMS-N-S, volume = "4", number = "3", pages = "335--338", year = "1981", CODEN = "BAMOAD", DOI = "https://doi.org/10.1090/S0273-0979-1981-14906-5", ISSN = "0273-0979 (print), 1088-9485 (electronic)", ISSN-L = "0273-0979", MRclass = "34E20 (41A60)", MRnumber = "609045", MRreviewer = "F. W. J. Olver", bibdate = "Tue Nov 7 09:19:06 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", acknowledgement = ack-nhfb, fjournal = "American Mathematical Society. Bulletin. New Series", journal-URL = "http://www.ams.org/journals/bull/all_issues.html", reviewer-dates = "Frank William John Olver (15 December 1924--23 April 2013)", } @Article{Skinner:1981:EUV, author = "L. A. Skinner", title = "Erratum: {``Uniformly valid expansions for Laplace integrals''}", journal = j-SIAM-J-MATH-ANA, volume = "12", number = "3", pages = "487--487", month = may, year = "1981", CODEN = "SJMAAH", DOI = "https://doi.org/10.1137/0512042", ISSN = "0036-1410 (print), 1095-7154 (electronic)", ISSN-L = "0036-1410", MRclass = "41A60", MRnumber = "82i:41038b", bibdate = "Sun Nov 28 19:22:42 MST 2010", bibsource = "http://epubs.siam.org/sam-bin/dbq/toc/SIMA/12/3; https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib; https://www.math.utah.edu/pub/tex/bib/siamjmathana.bib", note = "See \cite{Skinner:1980:UVE}.", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Mathematical Analysis", journal-URL = "http://epubs.siam.org/sima", } @Article{Temme:1982:UAE, author = "N. M. Temme", title = "The uniform asymptotic expansion of a class of integrals related to cumulative distribution functions", journal = j-SIAM-J-MATH-ANA, volume = "13", number = "2", pages = "239--253", month = mar, year = "1982", CODEN = "SJMAAH", DOI = "https://doi.org/10.1137/0513017", ISSN = "0036-1410 (print), 1095-7154 (electronic)", ISSN-L = "0036-1410", MRclass = "41A60 (33A15 62E20)", MRnumber = "83e:41036 (647123)", MRreviewer = "F. W. J. Olver", bibdate = "Tue Nov 7 09:19:06 2023", bibsource = "http://epubs.siam.org/sam-bin/dbq/toc/SIMA/13/2; https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib; https://www.math.utah.edu/pub/tex/bib/siamjmathana.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Mathematical Analysis", journal-URL = "http://epubs.siam.org/sima", reviewer-dates = "Frank William John Olver (15 December 1924--23 April 2013)", } @Article{Dammert:1983:TTS, author = "{\"O}rjan Dammert", title = "Transmission through a system of potential barriers. {I}. {Transmission} coefficient", journal = j-J-MATH-PHYS, volume = "24", number = "8", pages = "2163--2175", month = aug, year = "1983", CODEN = "JMAPAQ", DOI = "https://doi.org/10.1063/1.525969", ISSN = "0022-2488 (print), 1089-7658 (electronic), 1527-2427", ISSN-L = "0022-2488", MRclass = "81F20 (34E20 81C05)", MRnumber = "84j:81119 (713549)", MRreviewer = "F. W. J. Olver", bibdate = "Tue Nov 7 09:19:06 2023", bibsource = "http://jmp.aip.org/; https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib; https://www.math.utah.edu/pub/tex/bib/jmathphys1980.bib", URL = "http://jmp.aip.org/resource/1/jmapaq/v24/i8/p2163_s1", acknowledgement = ack-nhfb, fjournal = "Journal of Mathematical Physics", journal-URL = "http://jmp.aip.org/", pagecount = "13", reviewer-dates = "Frank William John Olver (15 December 1924--23 April 2013)", } @Article{Duval:1983:EAI, author = "Anne Duval", title = "{{\'E}}tude asymptotique d'une int{\'e}grale analogue {\`a} la fonction `{$ \Gamma $} modifi{\'e}e'. ({French}) []", journal = j-LECT-NOTES-MATH, volume = "1015", pages = "50--63", year = "1983", CODEN = "LNMAA2", DOI = "https://doi.org/10.1007/BFb0071349", ISBN = "3-540-12684-8 (print), 3-540-38674-2 (e-book)", ISBN-13 = "978-3-540-12684-3 (print), 978-3-540-38674-2 (e-book)", ISSN = "0075-8434 (print), 1617-9692 (electronic)", ISSN-L = "0075-8434", MRclass = "41A60 (33A15 58G15)", MRnumber = "766242 (86b:41036)", MRreviewer = "F. W. J. Olver", bibdate = "Fri May 9 19:07:07 MDT 2014", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib; https://www.math.utah.edu/pub/tex/bib/lnm1980.bib", URL = "http://link.springer.com/chapter/10.1007/BFb0071349/; https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", acknowledgement = ack-nhfb, book-DOI = "https://doi.org/10.1007/BFb0071347", book-URL = "http://www.springerlink.com/content/978-3-540-38674-2", fjournal = "Lecture Notes in Mathematics", journal-URL = "http://link.springer.com/bookseries/304", language = "French", reviewer-dates = "Frank William John Olver (15 December 1924--23 April 2013)", } @Article{Ludwig:1983:PA, author = "Donald Ludwig", title = "Parsimonious Asymptotics", journal = j-SIAM-J-APPL-MATH, volume = "43", number = "4", pages = "664--672", month = aug, year = "1983", CODEN = "SMJMAP", DOI = "https://doi.org/10.1137/0143045", ISSN = "0036-1399 (print), 1095-712x (electronic)", ISSN-L = "0036-1399", MRclass = "41A60 (92A15)", MRnumber = "85g:41040 (709731)", MRreviewer = "F. W. J. Olver", bibdate = "Tue Nov 7 09:19:06 2023", bibsource = "Compendex database; https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib; https://www.math.utah.edu/pub/tex/bib/siamjapplmath.bib; JSTOR database", acknowledgement = ack-nhfb, affiliation = "Univ of British Columbia, Dep of Mathematics, Vancouver, BC, Can", classification = "471; 921", fjournal = "SIAM Journal on Applied Mathematics", journal-URL = "http://epubs.siam.org/siap", journalabr = "SIAM J Appl Math", keywords = "fisheries; mathematical techniques; waves --- Diffraction", reviewer-dates = "Frank William John Olver (15 December 1924--23 April 2013)", } @Article{McClure:1983:EBM, author = "J. P. McClure and R. Wong", title = "Error bounds for multidimensional {Laplace} approximation", journal = j-J-APPROX-THEORY, volume = "37", number = "4", pages = "372--390", year = "1983", CODEN = "JAXTAZ", DOI = "https://doi.org/10.1016/0021-9045(83)90044-8", ISSN = "0021-9045 (print), 1096-0430 (electronic)", ISSN-L = "0021-9045", MRclass = "41A60 (41A63)", MRnumber = "697493", MRreviewer = "F. W. J. Olver", bibdate = "Tue Nov 7 09:19:06 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", acknowledgement = ack-nhfb, fjournal = "Journal of Approximation Theory", journal-URL = "http://www.sciencedirect.com/science/journal/00219045", reviewer-dates = "Frank William John Olver (15 December 1924--23 April 2013)", } @Article{Salzer:1983:NDG, author = "Herbert E. Salzer", title = "Note on the {Do{\v{c}}ev--Grosswald} asymptotic series for generalized {Bessel} polynomials", journal = j-J-COMPUT-APPL-MATH, volume = "9", number = "2", pages = "131--135", year = "1983", CODEN = "JCAMDI", DOI = "https://doi.org/10.1016/0377-0427(83)90036-5", ISSN = "0377-0427 (print), 1879-1778 (electronic)", ISSN-L = "0377-0427", MRclass = "33A40 (65D20)", MRnumber = "709212", MRreviewer = "F. W. J. Olver", bibdate = "Tue Nov 7 09:19:06 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", note = "See errata \cite{Salzer:1984:END}.", acknowledgement = ack-nhfb, fjournal = "Journal of Computational and Applied Mathematics", journal-URL = "http://www.sciencedirect.com/science/journal/03770427", reviewer-dates = "Frank William John Olver (15 December 1924--23 April 2013)", } @Article{Sikkema:1983:ACO, author = "P. C. Sikkema", title = "On approximation with convolution operators containing three parameters", journal = j-DELFT-PROG-REP, volume = "8", number = "4", pages = "298--310", year = "1983", CODEN = "DPRED2", ISSN = "0304-985X", MRclass = "41A35", MRnumber = "733006", MRreviewer = "F. W. J. Olver", bibdate = "Tue Nov 7 09:19:06 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", acknowledgement = ack-nhfb, fjournal = "Delft Progress Report", reviewer-dates = "Frank William John Olver (15 December 1924--23 April 2013)", } @Article{Stadje:1983:PPS, author = "Wolfgang Stadje", title = "Probabilistic proofs of some formulas for {Bessel} functions", journal = "Nederl. Akad. Wetensch. Indag. Math.", volume = "45", number = "3", pages = "343--359", year = "1983", ISSN = "0019-3577, 0023-3358", MRclass = "33A40 (60E99)", MRnumber = "718075", MRreviewer = "F. W. J. Olver", bibdate = "Tue Nov 7 09:19:06 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", acknowledgement = ack-nhfb, fjournal = "Koninklijke Nederlandse Akademie van Wetenschappen. Indagationes Mathematicae", reviewer-dates = "Frank William John Olver (15 December 1924--23 April 2013)", } @Article{Temme:1983:UAE, author = "Nico M. Temme", title = "Uniform asymptotic expansions of {Laplace} integrals", journal = "Analysis", volume = "3", number = "1--4", pages = "221--249", year = "1983", DOI = "https://doi.org/10.1524/anly.1983.3.14.221", ISSN = "0174-4747 (print), 2196-6753 (electronic)", ISSN-L = "0174-4747", MRclass = "41A60 (44A10)", MRnumber = "756117", MRreviewer = "F. W. J. Olver", bibdate = "Tue Nov 7 09:19:06 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib; https://www.math.utah.edu/pub/tex/bib/elefunt.bib", acknowledgement = ack-nhfb, fjournal = "Analysis. International Journal of Analysis and its Application", reviewer-dates = "Frank William John Olver (15 December 1924--23 April 2013)", } @Article{Wong:1983:ASR, author = "R. Wong", title = "Applications of some recent results in asymptotic expansions", journal = j-CONG-NUM, volume = "37", pages = "145--182", year = "1983", ISSN = "0384-9864", MRclass = "41A60 (41-02)", MRnumber = "703584", MRreviewer = "F. W. J. Olver", bibdate = "Tue Nov 7 09:19:06 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", acknowledgement = ack-nhfb, fjournal = "Congressus Numerantium. A Conference Journal on Numerical Themes", reviewer-dates = "Frank William John Olver (15 December 1924--23 April 2013)", } @Article{Berndt:1984:CRS, author = "Bruce C. Berndt and Ronald J. Evans", title = "Chapter 13 of {Ramanujan}'s second notebook: integrals and asymptotic expansions", journal = "Exposition. Math.", volume = "2", number = "4", pages = "289--347", year = "1984", ISSN = "0723-0869 (print), 1878-0792 (electronic)", MRclass = "01A60 (33-03 41A60)", MRnumber = "782613", MRreviewer = "F. W. J. Olver", bibdate = "Tue Nov 7 09:19:06 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", acknowledgement = ack-nhfb, fjournal = "Expositiones Mathematicae. International Journal for Pure and Applied Mathematics", reviewer-dates = "Frank William John Olver (15 December 1924--23 April 2013)", } @Article{Pryce:1984:NMR, author = "J. D. Pryce", title = "A New Measure of Relative Error for Vectors", journal = j-SIAM-J-NUMER-ANAL, volume = "21", number = "1", pages = "202--215", month = feb, year = "1984", CODEN = "SJNAAM", DOI = "https://doi.org/10.1137/0721015", ISSN = "0036-1429 (print), 1095-7170 (electronic)", ISSN-L = "0036-1429", MRclass = "65G99 (65J05)", MRnumber = "85i:65061 (731224)", MRreviewer = "F. W. J. Olver", bibdate = "Tue Nov 7 09:19:06 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib; https://www.math.utah.edu/pub/tex/bib/siamjnumeranal.bib; JSTOR database", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Numerical Analysis", journal-URL = "http://epubs.siam.org/sinum", reviewer-dates = "Frank William John Olver (15 December 1924--23 April 2013)", } @Article{Salzer:1984:END, author = "H. E. Salzer", title = "Errata: ``{Note} on the {Do{\v{c}}ev--Grosswald} asymptotic series for generalized {Bessel} polynomials''", journal = j-J-COMPUT-APPL-MATH, volume = "10", number = "1", pages = "133", month = feb, year = "1984", CODEN = "JCAMDI", DOI = "https://doi.org/10.1016/0377-0427(84)90077-3", ISSN = "0377-0427 (print), 1879-1778 (electronic)", ISSN-L = "0377-0427", MRclass = "33A40 (65D20)", MRnumber = "736595", MRreviewer = "F. W. J. Olver", bibdate = "Tue Nov 7 09:19:06 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", note = "See \cite{Salzer:1983:NDG}.", acknowledgement = ack-nhfb, fjournal = "Journal of Computational and Applied Mathematics", journal-URL = "http://www.sciencedirect.com/science/journal/03770427", reviewer-dates = "Frank William John Olver (15 December 1924--23 April 2013)", } @InCollection{Calmet:1985:SMR, author = "J. Calmet and I. Cohen", booktitle = "The second {RIKEN} international symposium on symbolic and algebraic computation by computer ({Wako}-shi, 1984)", title = "Symbolic manipulation of recurrence relations. {An} approach to the manipulation of special functions", volume = "2", publisher = pub-WORLD-SCI, address = pub-WORLD-SCI:adr, pages = "55--65", year = "1985", ISBN = "9971-5-0021-3", ISBN-13 = "978-9971-5-0021-4", MRclass = "33-04 (11Y99 12-04)", MRnumber = "835950", MRreviewer = "F. W. J. Olver", bibdate = "Tue Nov 7 09:19:06 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", series = "World Sci. Ser. Comput. Sci.", acknowledgement = ack-nhfb, reviewer-dates = "Frank William John Olver (15 December 1924--23 April 2013)", } @Article{Frenzen:1985:NAE, author = "C. L. Frenzen and R. Wong", title = "A note on asymptotic evaluation of some {Hankel} transforms", journal = j-MATH-COMPUT, volume = "45", number = "172", pages = "537--548", month = oct, year = "1985", CODEN = "MCMPAF", DOI = "https://doi.org/10.2307/2008143", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "41A60 (44A15 65R10)", MRnumber = "87c:41024 (804942)", MRreviewer = "F. W. J. Olver", bibdate = "Tue Nov 7 09:19:06 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib; https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0230 (Integral transforms); B0290Z (Other numerical methods)C1130 (Integral transforms); C4190 (Other numerical methods)", corpsource = "Dept. of Math., British Columbia Univ., Vancouver, BC, Canada", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "asymptotic expansion; Bessel function; Bessel functions; growth condition; Hankel transforms; meromorphic function; transforms", reviewer-dates = "Frank William John Olver (15 December 1924--23 April 2013)", treatment = "T Theoretical or Mathematical", } @Article{Igarashi:1985:PPA, author = "Masao Igarashi", title = "Practical problems arising for finding roots of nonlinear equations", journal = j-APPL-NUM-MATH, volume = "1", number = "5", pages = "433--455", month = sep, year = "1985", CODEN = "ANMAEL", DOI = "https://doi.org/10.1016/0168-9274(85)90005-4", ISSN = "0168-9274 (print), 1873-5460 (electronic)", ISSN-L = "0168-9274", MRclass = "65H05 (65G05 65H10)", MRnumber = "86m:65045 (801242)", MRreviewer = "F. W. J. Olver", bibdate = "Tue Nov 7 09:19:06 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib; https://www.math.utah.edu/pub/tex/bib/applnummath.bib", acknowledgement = ack-nhfb, fjournal = "Applied Numerical Mathematics: Transactions of IMACS", journal-URL = "http://www.sciencedirect.com/science/journal/01689274/", reviewer-dates = "Frank William John Olver (15 December 1924--23 April 2013)", } @Article{Boyd:1986:UAS, author = "W. G. C. Boyd and T. M. Dunster", title = "Uniform asymptotic solutions of a class of second-order linear differential equations having a turning point and a regular singularity, with an application to {Legendre} functions", journal = j-SIAM-J-MATH-ANA, volume = "17", number = "2", pages = "422--450", month = mar, year = "1986", CODEN = "SJMAAH", DOI = "https://doi.org/10.1137/0517033", ISSN = "0036-1410 (print), 1095-7154 (electronic)", ISSN-L = "0036-1410", MRclass = "34E05 (33A45 34E20)", MRnumber = "87c:34094 (826704)", MRreviewer = "F. W. J. Olver", bibdate = "Tue Nov 7 09:19:06 2023", bibsource = "http://epubs.siam.org/sam-bin/dbq/toc/SIMA/17/2; https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib; https://www.math.utah.edu/pub/tex/bib/siamjmathana.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Mathematical Analysis", journal-URL = "http://epubs.siam.org/sima", reviewer-dates = "Frank William John Olver (15 December 1924--23 April 2013)", } @Article{Dammert:1986:TTS, author = "{\"O}rjan Dammert", title = "Transmission through a system of potential barriers. {II}. {Necessary} condition for complete transparency. {A} maximum transmission problem", journal = j-J-MATH-PHYS, volume = "27", number = "2", pages = "461--470", month = feb, year = "1986", CODEN = "JMAPAQ", DOI = "https://doi.org/10.1063/1.527244", ISSN = "0022-2488 (print), 1089-7658 (electronic), 1527-2427", ISSN-L = "0022-2488", MRclass = "81F20 (34E20 81C05)", MRnumber = "87c:81175 (824389)", MRreviewer = "F. W. J. Olver", bibdate = "Tue Nov 7 09:19:06 2023", bibsource = "http://jmp.aip.org/; https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib; https://www.math.utah.edu/pub/tex/bib/jmathphys1985.bib", URL = "http://jmp.aip.org/resource/1/jmapaq/v27/i2/p461_s1", acknowledgement = ack-nhfb, fjournal = "Journal of Mathematical Physics", journal-URL = "http://jmp.aip.org/", pagecount = "10", reviewer-dates = "Frank William John Olver (15 December 1924--23 April 2013)", } @Article{Leubner:1986:NUA, author = "C. Leubner and H. Ritsch", title = "A note on the uniform asymptotic expansion of integrals with coalescing endpoint and saddle points", journal = j-J-PHYS-A, volume = "19", number = "3", pages = "329--335", year = "1986", CODEN = "JPHAC5", ISSN = "0305-4470 (print), 1361-6447 (electronic)", ISSN-L = "0305-4470", MRclass = "41A60 (58C27 81C35)", MRnumber = "832583", MRreviewer = "F. W. J. Olver", bibdate = "Tue Nov 7 09:19:06 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", URL = "http://stacks.iop.org/0305-4470/19/329", acknowledgement = ack-nhfb, fjournal = "Journal of Physics. A. Mathematical and General", journal-URL = "http://iopscience.iop.org/1751-8121", reviewer-dates = "Frank William John Olver (15 December 1924--23 April 2013)", } @Article{Smith:1986:LGA, author = "Donald R. Smith", title = "{Liouville--Green} approximations via the {Riccati} transformation", journal = j-J-MATH-ANAL-APPL, volume = "116", number = "1", pages = "147--165", year = "1986", CODEN = "JMANAK", DOI = "https://doi.org/10.1016/0022-247X(86)90048-X", ISSN = "0022-247x (print), 1096-0813 (electronic)", ISSN-L = "0022-247X", MRclass = "34E20", MRnumber = "837343", MRreviewer = "F. W. J. Olver", bibdate = "Tue Nov 7 09:19:06 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", acknowledgement = ack-nhfb, fjournal = "Journal of Mathematical Analysis and Applications", journal-URL = "http://www.sciencedirect.com/science/journal/0022247X", reviewer-dates = "Frank William John Olver (15 December 1924--23 April 2013)", } @Article{Wazwaz:1986:MUA, author = "Abdul-Majid Wazwaz and Floyd B. Hanson", title = "Matched Uniform Approximations for a Singular Boundary Point and an Interior Turning Point", journal = j-SIAM-J-APPL-MATH, volume = "46", number = "6", pages = "943--961", month = dec, year = "1986", CODEN = "SMJMAP", DOI = "https://doi.org/10.1137/0146056", ISSN = "0036-1399 (print), 1095-712x (electronic)", ISSN-L = "0036-1399", MRclass = "34E05", MRnumber = "88d:34070a (866274)", MRreviewer = "F. W. J. Olver", bibdate = "Tue Nov 7 09:19:06 2023", bibsource = "Compendex database; https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib; https://www.math.utah.edu/pub/tex/bib/siamjapplmath.bib; JSTOR database", acknowledgement = ack-nhfb, affiliationaddress = "Coll of Science and Technology, Jerusalem, Isr", classification = "921", fjournal = "SIAM Journal on Applied Mathematics", journal-URL = "http://epubs.siam.org/siap", journalabr = "SIAM J Appl Math", keywords = "asymptotic approximations; Differential Equations; interior turning point; matched uniform approximations; mathematical techniques; second-order differential equations; singular boundary point", reviewer-dates = "Frank William John Olver (15 December 1924--23 April 2013)", } @Article{Wazwaz:1986:SBR, author = "Abdul-Majid Wazwaz and Floyd B. Hanson", title = "Singular Boundary Resonance with Turning Point Resonance", journal = j-SIAM-J-APPL-MATH, volume = "46", number = "6", pages = "962--977", month = dec, year = "1986", CODEN = "SMJMAP", DOI = "https://doi.org/10.1137/0146057", ISSN = "0036-1399 (print), 1095-712x (electronic)", ISSN-L = "0036-1399", MRclass = "34E05 (34B25 34E20)", MRnumber = "88d:34070b (866275)", MRreviewer = "F. W. J. Olver", bibdate = "Tue Nov 7 09:19:06 2023", bibsource = "Compendex database; https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib; https://www.math.utah.edu/pub/tex/bib/siamjapplmath.bib; JSTOR database", acknowledgement = ack-nhfb, affiliationaddress = "Coll of Science \& Technology, Jerusalem, Isr", classification = "921", fjournal = "SIAM Journal on Applied Mathematics", journal-URL = "http://epubs.siam.org/siap", journalabr = "SIAM J Appl Math", keywords = "Differential Equations; exponential precision; mathematical techniques; singular boundary resonance; singularly perturbed equation; turning point resonance", reviewer-dates = "Frank William John Olver (15 December 1924--23 April 2013)", } @Article{Allasia:1987:NCI, author = "Giampietro Allasia and Renata Besenghi", title = "Numerical calculation of incomplete gamma functions by the trapezoidal rule", journal = j-NUM-MATH, volume = "50", number = "4", pages = "419--428", month = jul, year = "1987", CODEN = "NUMMA7", DOI = "https://doi.org/10.1007/BF01396662", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65D20 (33A15 65D30)", MRnumber = "88f:65034 (875166)", MRreviewer = "F. W. J. Olver", bibdate = "Tue Nov 7 09:19:06 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib; https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290R (Integral equations); C4180 (Integral equations)", corpsource = "Dipartimento di Matematica, Torino Univ., Italy", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "Euler--Maclaurin formula; incomplete gamma functions; integral equations; integral representation; numerical calculation; trapezoidal rule", reviewer-dates = "Frank William John Olver (15 December 1924--23 April 2013)", treatment = "T Theoretical or Mathematical", } @Article{Carlson:1987:TEI, author = "B. C. Carlson", title = "A Table of Elliptic Integrals of the Second Kind", journal = j-MATH-COMPUT, volume = "49", number = "180", pages = "595--606, S13--S17", month = oct, year = "1987", CODEN = "MCMPAF", DOI = "https://doi.org/10.2307/2008332", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65A05 (33A25 65V05)", MRnumber = "89b:65013 (906192)", MRreviewer = "F. W. J. Olver", bibdate = "Tue Nov 7 09:19:06 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib; https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "C4160 (Numerical integration and differentiation); C7310 (Mathematics)", corpsource = "Dept. of Math., Iowa State Univ., Ames, IA, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "elliptic integrals of the second kind; FORTRAN listings; integration; mathematics computing; standard R-functions", reviewer-dates = "Frank William John Olver (15 December 1924--23 April 2013)", treatment = "P Practical; T Theoretical or Mathematical; X Experimental", } @Article{Ursell:1987:UAE, author = "F. Ursell", title = "Uniformly asymptotic expansions for an integral with a large and a small parameter", journal = j-MATH-PROC-CAMB-PHILOS-SOC, volume = "101", number = "2", pages = "349--362", year = "1987", CODEN = "MPCPCO", DOI = "https://doi.org/10.1017/S0305004100066718", ISSN = "0305-0041 (print), 1469-8064 (electronic)", ISSN-L = "0305-0041", MRclass = "41A60", MRnumber = "870607", MRreviewer = "F. W. J. Olver", bibdate = "Tue Nov 7 09:19:06 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", acknowledgement = ack-nhfb, fjournal = "Mathematical Proceedings of the Cambridge Philosophical Society", journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=PSP", reviewer-dates = "Frank William John Olver (15 December 1924--23 April 2013)", } @Article{Baratella:1988:BET, author = "Paola Baratella and Luigi Gatteschi", title = "The bounds for the error term of an asymptotic approximation of {Jacobi} polynomials", journal = j-LECT-NOTES-MATH, volume = "1329", pages = "203--221", year = "1988", CODEN = "LNMAA2", DOI = "https://doi.org/10.1007/BFb0083360", ISBN = "3-540-19489-4 (print), 3-540-39295-5 (e-book)", ISBN-13 = "978-3-540-19489-7 (print), 978-3-540-39295-8 (e-book)", ISSN = "0075-8434 (print), 1617-9692 (electronic)", ISSN-L = "0075-8434", MRclass = "33A65 (41A60 65D15)", MRnumber = "973428 (90e:33028)", MRreviewer = "F. W. J. Olver", bibdate = "Thu May 15 18:46:23 MDT 2014", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib; https://www.math.utah.edu/pub/tex/bib/lnm1985.bib", URL = "http://link.springer.com/chapter/10.1007/BFb0083360/", acknowledgement = ack-nhfb, book-DOI = "https://doi.org/10.1007/BFb0083349", book-URL = "http://www.springerlink.com/content/978-3-540-39295-8", fjournal = "Lecture Notes in Mathematics", journal-URL = "http://link.springer.com/bookseries/304", reviewer-dates = "Frank William John Olver (15 December 1924--23 April 2013)", } @Article{Carlson:1988:TEI, author = "B. C. Carlson", title = "A Table of Elliptic Integrals of the Third Kind", journal = j-MATH-COMPUT, volume = "51", number = "183", pages = "267--280, S1--S5", month = jul, year = "1988", CODEN = "MCMPAF", DOI = "https://doi.org/10.2307/2008590", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "33A25 (65A05)", MRnumber = "89k:33003 (942154)", MRreviewer = "F. W. J. Olver", bibdate = "Tue Nov 7 09:19:06 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib; https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290R (Integral equations); B0220 (Analysis); B0290D (Functional analysis); B0290M (Numerical integration and differentiation); C4180 (Integral equations); C1120 (Analysis); C4120 (Functional analysis); C4160 (Numerical integration and differentiation)", corpsource = "Iowa State Univ., Ames, IA, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "Cauchy principal values; elliptic integrals; FORTRAN listings; function evaluation; integral equations; integration; points; real singular; recurrence relations; standard R-functions", reviewer-dates = "Frank William John Olver (15 December 1924--23 April 2013)", treatment = "P Practical; T Theoretical or Mathematical", } @Article{Frenzen:1988:UAE, author = "C. L. Frenzen and R. Wong", title = "Uniform asymptotic expansions of {Laguerre} polynomials", journal = j-SIAM-J-MATH-ANA, volume = "19", number = "5", pages = "1232--1248", month = sep, year = "1988", CODEN = "SJMAAH", DOI = "https://doi.org/10.1137/0519087", ISSN = "0036-1410 (print), 1095-7154 (electronic)", ISSN-L = "0036-1410", MRclass = "33A65 (33A40 41A60)", MRnumber = "89k:33012 (957682)", MRreviewer = "F. W. J. Olver", bibdate = "Tue Nov 7 09:19:06 2023", bibsource = "http://epubs.siam.org/sam-bin/dbq/toc/SIMA/19/5; https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib; https://www.math.utah.edu/pub/tex/bib/siamjmathana.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Mathematical Analysis", journal-URL = "http://epubs.siam.org/sima", reviewer-dates = "Frank William John Olver (15 December 1924--23 April 2013)", } @Article{Qu:1988:SCL, author = "C. K. Qu and R. Wong", title = "{Szeg{\H{o}}}'s conjecture on {Lebesgue} constants for {Legendre} series", journal = j-PAC-J-MATH, volume = "135", number = "1", pages = "157--188", year = "1988", CODEN = "PJMAAI", DOI = "https://doi.org/10.2140/pjm.1988.135.157", ISSN = "0030-8730 (print), 1945-5844 (electronic)", ISSN-L = "0030-8730", MRclass = "42C10 (33A45)", MRnumber = "965689", MRreviewer = "F. W. J. Olver", bibdate = "Tue Nov 7 09:19:06 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", URL = "http://projecteuclid.org/euclid.pjm/1102688349", acknowledgement = ack-nhfb, fjournal = "Pacific Journal of Mathematics", journal-URL = "http://msp.org/pjm", reviewer-dates = "Frank William John Olver (15 December 1924--23 April 2013)", } @Article{Sharapudinov:1988:AFH, author = "I. I. Sharapudinov", title = "An asymptotic formula having no remainder term for the orthogonal {Hahn} polynomials of discrete variable", journal = "Math. Balkanica (N.S.)", volume = "2", number = "4", pages = "314--318", year = "1988", ISSN = "0205-3217", MRclass = "33A65", MRnumber = "997621", MRreviewer = "F. W. J. Olver", bibdate = "Tue Nov 7 09:19:06 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", acknowledgement = ack-nhfb, fjournal = "Mathematica Balkanica. New Series", reviewer-dates = "Frank William John Olver (15 December 1924--23 April 2013)", } @Article{Shivakumar:1988:EBU, author = "P. N. Shivakumar and R. Wong", title = "Error bounds for a uniform asymptotic expansion of the {Legendre} function {$ P_n^{-m}({\rm cosh} z) $}", journal = j-QUART-APPL-MATH, volume = "46", number = "3", pages = "473--488", year = "1988", CODEN = "QAMAAY", DOI = "https://doi.org/10.1090/qam/963583", ISSN = "0033-569X (print), 1552-4485 (electronic)", ISSN-L = "0033-569X", MRclass = "33A45 (41A60)", MRnumber = "963583", MRreviewer = "F. W. J. Olver", bibdate = "Tue Nov 7 09:19:06 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", acknowledgement = ack-nhfb, fjournal = "Quarterly of Applied Mathematics", journal-URL = "http://dl.acm.org/citation.cfm?id=J641; http://www.ams.org/journals/qam", reviewer-dates = "Frank William John Olver (15 December 1924--23 April 2013)", } @Article{Dunster:1989:UAE, author = "T. M. Dunster", title = "Uniform asymptotic expansions for {Whittaker}'s confluent hypergeometric functions", journal = j-SIAM-J-MATH-ANA, volume = "20", number = "3", pages = "744--760", month = may, year = "1989", CODEN = "SJMAAH", DOI = "https://doi.org/10.1137/0520052", ISSN = "0036-1410 (print), 1095-7154 (electronic)", ISSN-L = "0036-1410", MRclass = "33A30 (34E20)", MRnumber = "90e:33012 (990876)", MRreviewer = "F. W. J. Olver", bibdate = "Tue Nov 7 09:19:06 2023", bibsource = "http://epubs.siam.org/sam-bin/dbq/toc/SIMA/20/3; https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib; https://www.math.utah.edu/pub/tex/bib/siamjmathana.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Mathematical Analysis", journal-URL = "http://epubs.siam.org/sima", reviewer-dates = "Frank William John Olver (15 December 1924--23 April 2013)", } @InCollection{Temme:1989:CSF, author = "N. M. Temme", booktitle = "Numerical and applied mathematics, {Part} {II} ({Paris}, 1988)", title = "On the computation of special functions by using asymptotic expansions", volume = "1.2", publisher = "Baltzer", address = "Basel, Switzerland", pages = "463--466", year = "1989", ISBN = "3-905135-60-4", ISBN-13 = "978-3-905135-60-2", MRclass = "33B20 (33C10 41A60)", MRnumber = "1066043", MRreviewer = "F. W. J. Olver", bibdate = "Tue Nov 7 09:19:06 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", series = "IMACS Ann. Comput. Appl. Math.", acknowledgement = ack-nhfb, reviewer-dates = "Frank William John Olver (15 December 1924--23 April 2013)", } @InCollection{Wong:1989:SRR, author = "R. Wong", booktitle = "Numerical and applied mathematics, {Part} {II} ({Paris}, 1988)", title = "Some recent results in uniform asymptotic expansions of special functions", volume = "1.2", publisher = "Baltzer", address = "Basel, Switzerland", pages = "473--477", year = "1989", ISBN = "3-905135-60-4", ISBN-13 = "978-3-905135-60-2", MRclass = "33C45 (33C50 41A60)", MRnumber = "1066045", MRreviewer = "F. W. J. Olver", bibdate = "Tue Nov 7 09:19:06 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", series = "IMACS Ann. Comput. Appl. Math.", acknowledgement = ack-nhfb, reviewer-dates = "Frank William John Olver (15 December 1924--23 April 2013)", } @Article{Berry:1990:H, author = "M. V. Berry and C. J. Howls", title = "Hyperasymptotics", journal = j-PROC-R-SOC-LOND-SER-A-MATH-PHYS-SCI, volume = "430", number = "1880", pages = "653--668", year = "1990", CODEN = "PRLAAZ", DOI = "https://doi.org/10.1098/rspa.1990.0111", ISSN = "0962-8444 (print), 2053-9177 (electronic)", ISSN-L = "0962-8444", MRclass = "34E20 (41A60 65D99 65L99)", MRnumber = "1070081", MRreviewer = "F. W. J. Olver", bibdate = "Tue Nov 7 09:19:06 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", acknowledgement = ack-nhfb, fjournal = "Proceedings of the Royal Society. London. Series A. Mathematical, Physical and Engineering Sciences", journal-URL = "http://rspa.royalsocietypublishing.org/", reviewer-dates = "Frank William John Olver (15 December 1924--23 April 2013)", } @Article{Dunster:1990:UAS, author = "T. M. Dunster", title = "Uniform Asymptotic Solutions of Second-Order Linear Differential Equations Having a Double Pole with Complex Exponent and a Coalescing Turning Point", journal = j-SIAM-J-MATH-ANA, volume = "21", number = "6", pages = "1594--1618", month = nov, year = "1990", CODEN = "SJMAAH", DOI = "https://doi.org/10.1137/0521087", ISSN = "0036-1410 (print), 1095-7154 (electronic)", ISSN-L = "0036-1410", MRclass = "34E20 (33C10 33C65)", MRnumber = "91m:34069 (1075593)", MRreviewer = "F. W. J. Olver", bibdate = "Tue Nov 7 09:19:06 2023", bibsource = "http://epubs.siam.org/sam-bin/dbq/toc/SIMA/21/6; https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib; https://www.math.utah.edu/pub/tex/bib/siamjmathana.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Mathematical Analysis", journal-URL = "http://epubs.siam.org/sima", reviewer-dates = "Frank William John Olver (15 December 1924--23 April 2013)", } @Article{Fitouhi:1990:UEE, author = "A. Fitouhi and M. M. Hamza", title = "A Uniform Expansion for the Eigenfunction of a Singular Second-Order Differential Operator", journal = j-SIAM-J-MATH-ANA, volume = "21", number = "6", pages = "1619--1632", month = nov, year = "1990", CODEN = "SJMAAH", DOI = "https://doi.org/10.1137/0521088", ISSN = "0036-1410 (print), 1095-7154 (electronic)", ISSN-L = "0036-1410", MRclass = "33C45 (34E05 34L40)", MRnumber = "92a:33006 (1075594)", MRreviewer = "F. W. J. Olver", bibdate = "Tue Nov 7 09:19:06 2023", bibsource = "http://epubs.siam.org/sam-bin/dbq/toc/SIMA/21/6; https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib; https://www.math.utah.edu/pub/tex/bib/siamjmathana.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Mathematical Analysis", journal-URL = "http://epubs.siam.org/sima", reviewer-dates = "Frank William John Olver (15 December 1924--23 April 2013)", } @Article{Frenzen:1990:EBU, author = "C. L. Frenzen", title = "Error Bounds for a Uniform Asymptotic Expansion of the {Legendre} Function {$ Q_n^{-m} (\cosh z) $}", journal = j-SIAM-J-MATH-ANA, volume = "21", number = "2", pages = "523--535", month = mar, year = "1990", CODEN = "SJMAAH", DOI = "https://doi.org/10.1137/0521028", ISSN = "0036-1410 (print), 1095-7154 (electronic)", ISSN-L = "0036-1410", MRclass = "33C55 (41A60)", MRnumber = "91g:33014 (1038905)", MRreviewer = "F. W. J. Olver", bibdate = "Tue Nov 7 09:19:06 2023", bibsource = "http://epubs.siam.org/sam-bin/dbq/toc/SIMA/21/2; https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib; https://www.math.utah.edu/pub/tex/bib/siamjmathana.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Mathematical Analysis", journal-URL = "http://epubs.siam.org/sima", reviewer-dates = "Frank William John Olver (15 December 1924--23 April 2013)", } @Article{Boersma:1991:UAB, author = "J. Boersma", title = "Uniform asymptotics of a {Bessel}-function series occurring in a transmission-line problem", journal = j-J-COMPUT-APPL-MATH, volume = "37", number = "1--3", pages = "143--159", year = "1991", CODEN = "JCAMDI", DOI = "https://doi.org/10.1016/0377-0427(91)90113-X", ISSN = "0377-0427 (print), 1879-1778 (electronic)", ISSN-L = "0377-0427", MRclass = "41A60 (33C10 94A05)", MRnumber = "1136920", MRreviewer = "F. W. J. Olver", bibdate = "Tue Nov 7 09:19:06 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", acknowledgement = ack-nhfb, fjournal = "Journal of Computational and Applied Mathematics", journal-URL = "http://www.sciencedirect.com/science/journal/03770427", reviewer-dates = "Frank William John Olver (15 December 1924--23 April 2013)", } @Article{Chen:1991:AJP, author = "Li-Chen Chen and Mourad E. H. Ismail", title = "On Asymptotics of {Jacobi} Polynomials", journal = j-SIAM-J-MATH-ANA, volume = "22", number = "5", pages = "1442--1449", month = sep, year = "1991", CODEN = "SJMAAH", DOI = "https://doi.org/10.1137/0522092", ISSN = "0036-1410 (print), 1095-7154 (electronic)", ISSN-L = "0036-1410", MRclass = "33C45", MRnumber = "92g:33011 (1112518)", MRreviewer = "F. W. J. Olver", bibdate = "Tue Nov 7 09:19:06 2023", bibsource = "http://epubs.siam.org/sam-bin/dbq/toc/SIMA/22/5; https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib; https://www.math.utah.edu/pub/tex/bib/siamjmathana.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Mathematical Analysis", journal-URL = "http://epubs.siam.org/sima", reviewer-dates = "Frank William John Olver (15 December 1924--23 April 2013)", xxauthor = "Chen Li-Chen and Mourad E. H. Ismail", } @Article{Dunster:1991:CFO, author = "T. M. Dunster", title = "Conical functions with one or both parameters large", journal = j-PROC-R-SOC-EDINB-SECT-A-MATH, volume = "119", number = "3--4", pages = "311--327", year = "1991", CODEN = "PEAMDU", DOI = "https://doi.org/10.1017/S0308210500014864", ISSN = "0308-2105 (print), 1473-7124 (electronic)", ISSN-L = "0308-2105", MRclass = "33C05 (65D20)", MRnumber = "1135977", MRreviewer = "F. W. J. Olver", bibdate = "Tue Nov 7 09:19:06 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", acknowledgement = ack-nhfb, fjournal = "Proceedings of the Royal Society of Edinburgh. Section A. Mathematics", journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=PRM", reviewer-dates = "Frank William John Olver (15 December 1924--23 April 2013)", } @Article{Dunster:1991:CFS, author = "T. M. Dunster and D. A. Lutz", title = "Convergent Factorial Series Expansions for {Bessel} Functions", journal = j-SIAM-J-MATH-ANA, volume = "22", number = "4", pages = "1156--1172", month = jul, year = "1991", CODEN = "SJMAAH", DOI = "https://doi.org/10.1137/0522075", ISSN = "0036-1410 (print), 1095-7154 (electronic)", ISSN-L = "0036-1410", MRclass = "33C10", MRnumber = "92g:33004 (1112072)", MRreviewer = "F. W. J. Olver", bibdate = "Tue Nov 7 09:19:06 2023", bibsource = "http://epubs.siam.org/sam-bin/dbq/toc/SIMA/22/4; https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib; https://www.math.utah.edu/pub/tex/bib/siamjmathana.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Mathematical Analysis", journal-URL = "http://epubs.siam.org/sima", reviewer-dates = "Frank William John Olver (15 December 1924--23 April 2013)", } @Article{Hsu:1991:KAE, author = "Leetsch C. Hsu and Wen Chang Chu", title = "A kind of asymptotic expansion using partitions", journal = "Tohoku Math. J. (2)", volume = "43", number = "2", pages = "235--242", year = "1991", DOI = "https://doi.org/10.2748/tmj/1178227494", ISSN = "0040-8735", MRclass = "41A60 (05A17 33C45)", MRnumber = "1104429", MRreviewer = "F. W. J. Olver", bibdate = "Tue Nov 7 09:19:06 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", acknowledgement = ack-nhfb, fjournal = "The Tohoku Mathematical Journal. Second Series", reviewer-dates = "Frank William John Olver (15 December 1924--23 April 2013)", } @Article{Walker:1991:IDG, author = "Peter Walker", title = "Infinitely differentiable generalized logarithmic and exponential functions", journal = j-MATH-COMPUT, volume = "57", number = "196", pages = "723--733", month = oct, year = "1991", CODEN = "MCMPAF", DOI = "https://doi.org/10.2307/2938713", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "33E99 (65Q05)", MRnumber = "92d:33049 (1094963)", MRreviewer = "F. W. J. Olver", bibdate = "Tue Nov 7 09:19:06 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib; https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290K (Nonlinear and functional equations); C4150 (Nonlinear and functional equations)", corpsource = "Sultan Qaboos Univ., Muscat, Oman", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "differentiable; exponential functions; functional equations; infinitely; logarithmic functions", reviewer-dates = "Frank William John Olver (15 December 1924--23 April 2013)", treatment = "T Theoretical or Mathematical", } @Article{Berndt:1992:AES, author = "Bruce C. Berndt and Ronald J. Evans", title = "Asymptotic expansion of a series of {Ramanujan}", journal = j-PROC-EDINBURGH-MATH-SOC-2, volume = "35", number = "2", pages = "189--199", year = "1992", CODEN = "PEMSA3", DOI = "https://doi.org/10.1017/S0013091500005472", ISSN = "0013-0915 (print), 1464-3839 (electronic)", ISSN-L = "0013-0915", MRclass = "41A60 (33B15)", MRnumber = "1169239", MRreviewer = "F. W. J. Olver", bibdate = "Tue Nov 7 09:19:06 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", acknowledgement = ack-nhfb, fjournal = "Proceedings of the Edinburgh Mathematical Society. Series II", journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=PEM", reviewer-dates = "Frank William John Olver (15 December 1924--23 April 2013)", } @Article{Paris:1992:SSP, author = "R. B. Paris", title = "Smoothing of the {Stokes} phenomenon for high-order differential equations", journal = j-PROC-R-SOC-LOND-SER-A-MATH-PHYS-SCI, volume = "436", number = "1896", pages = "165--186", year = "1992", CODEN = "PRLAAZ", DOI = "https://doi.org/10.1098/rspa.1992.0012", ISSN = "0962-8444 (print), 2053-9177 (electronic)", ISSN-L = "0962-8444", MRclass = "34E05 (33C15)", MRnumber = "1177128", MRreviewer = "F. W. J. Olver", bibdate = "Tue Nov 7 09:19:06 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", acknowledgement = ack-nhfb, fjournal = "Proceedings of the Royal Society. London. Series A. Mathematical, Physical and Engineering Sciences", journal-URL = "http://rspa.royalsocietypublishing.org/", reviewer-dates = "Frank William John Olver (15 December 1924--23 April 2013)", } @Article{Temme:1992:AII, author = "N. M. Temme", title = "Asymptotic Inversion of Incomplete Gamma Functions", journal = j-MATH-COMPUT, volume = "58", number = "198", pages = "755--764", month = apr, year = "1992", CODEN = "MCMPAF", DOI = "https://doi.org/10.2307/2153214", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "33B20", MRnumber = "93a:33003 (1122079)", MRreviewer = "F. W. J. Olver", bibdate = "Tue Nov 7 09:19:06 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib; https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", reviewer-dates = "Frank William John Olver (15 December 1924--23 April 2013)", } @InCollection{Jones:1993:ASR, author = "D. S. Jones", booktitle = "Ordinary and partial differential equations, {Vol}. {IV} ({Dundee}, 1992)", title = "Asymptotic series and remainders", volume = "289", publisher = pub-LONGMAN, address = pub-LONGMAN:adr, pages = "112--125", year = "1993", ISBN = "0-582-09137-3", ISBN-13 = "978-0-582-09137-5", MRclass = "41A60 (03H05 26E35)", MRnumber = "1234501", MRreviewer = "F. W. J. Olver", bibdate = "Tue Nov 7 09:19:06 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", series = "Pitman Res. Notes Math. Ser.", acknowledgement = ack-nhfb, reviewer-dates = "Frank William John Olver (15 December 1924--23 April 2013)", } @Article{Skinner:1993:MAE, author = "L. A. Skinner", title = "Matched asymptotic expansions of integrals", journal = j-IMA-J-APPL-MATH, volume = "50", number = "1", pages = "77--90", month = "????", year = "1993", CODEN = "IJAMDM", DOI = "https://doi.org/10.1093/imamat/50.1.77", ISSN = "0272-4960 (print), 1464-3634 (electronic)", ISSN-L = "0272-4960", MRclass = "41A60 (33C10)", MRnumber = "94e:41043 (1206844)", MRreviewer = "F. W. J. Olver", bibdate = "Tue Nov 7 09:19:06 2023", bibsource = "Compendex database; https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib; https://www.math.utah.edu/pub/tex/bib/imajapplmath.bib; https://www.math.utah.edu/pub/tex/bib/macsyma.bib; MathSciNet database", acknowledgement = ack-nhfb, affiliation = "Univ of Wisconsin", affiliationaddress = "Milwaukee, WI, USA", classification = "723.5; 921.3; 921.6", fjournal = "IMA Journal of Applied Mathematics", journal-URL = "http://imamat.oxfordjournals.org/content/by/year", journalabr = "IMA J Appl Math", keywords = "Algorithms; Bessel function expansion; Coalescing critical points; Computational methods; Computer programming; Computer software; Integral equations; Laplace method expansions; Laplace transforms; Matched asymptotic expansions; Numerical methods; Software package MACSYMA", reviewer-dates = "Frank William John Olver (15 December 1924--23 April 2013)", } @Article{Dai:1994:GAE, author = "Hui-Hui Dai", title = "On the general asymptotic expansions of {$ H^{(1)}_v $}-transform and related {Bessel} transforms", journal = "Analysis", volume = "14", number = "1", pages = "19--41", year = "1994", DOI = "https://doi.org/10.1524/anly.1994.14.1.19", ISSN = "0174-4747", MRclass = "41A60 (33C10 44A15)", MRnumber = "1280527", MRreviewer = "F. W. J. Olver", bibdate = "Tue Nov 7 09:19:06 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", acknowledgement = ack-nhfb, fjournal = "Analysis. International Mathematical Journal of Analysis and its Applications", reviewer-dates = "Frank William John Olver (15 December 1924--23 April 2013)", } @Article{Paris:1994:GPI, author = "R. B. Paris", title = "A Generalization of {Pearcey}'s Integral", journal = j-SIAM-J-MATH-ANA, volume = "25", number = "2", pages = "630--645", month = mar, year = "1994", CODEN = "SJMAAH", DOI = "https://doi.org/10.1137/S0036141092230544", ISSN = "0036-1410 (print), 1095-7154 (electronic)", ISSN-L = "0036-1410", MRclass = "33E20 (40A10 41A60)", MRnumber = "95e:33025 (1266582)", MRreviewer = "F. W. J. Olver", bibdate = "Tue Nov 7 09:19:06 2023", bibsource = "http://epubs.siam.org/sam-bin/dbq/toc/SIMA/25/2; https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib; https://www.math.utah.edu/pub/tex/bib/siamjmathana.bib", URL = "http://epubs.siam.org/sam-bin/dbq/article/23054", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Mathematical Analysis", journal-URL = "http://epubs.siam.org/sima", reviewer-dates = "Frank William John Olver (15 December 1924--23 April 2013)", } @Article{OldeDaalhuis:1995:SPM, author = "A. B. {Olde Daalhuis} and S. J. Chapman and J. R. King and J. R. Ockendon and R. H. Tew", title = "{Stokes} Phenomenon and Matched Asymptotic Expansions", journal = j-SIAM-J-APPL-MATH, volume = "55", number = "6", pages = "1469--1483", month = dec, year = "1995", CODEN = "SMJMAP", DOI = "https://doi.org/10.1137/S0036139994261769", ISSN = "0036-1399 (print), 1095-712X (electronic)", ISSN-L = "0036-1399", MRclass = "34E05 (33B20 34A20 35C20 41A60)", MRnumber = "96j:34097 (1358785)", MRreviewer = "F. W. J. Olver", bibdate = "Tue Nov 7 09:19:06 2023", bibsource = "Compendex database; http://epubs.siam.org/toc/smjmap/55/6; https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib; https://www.math.utah.edu/pub/tex/bib/siamjapplmath.bib", URL = "http://epubs.siam.org/sam-bin/dbq/article/26176", acknowledgement = ack-nhfb, affiliation = "Univ of Oxford", affiliationaddress = "Oxford, Engl", classification = "921; 921.2; 921.4", fjournal = "SIAM Journal on Applied Mathematics", journal-URL = "http://epubs.siam.org/siap", journalabr = "SIAM J Appl Math", keywords = "Airy function; Anti-Stokes lines; Argand diagram; Asymptotic stability; Differential equations; Error function; Errors; Functions; Geometry; Integral equations; Integral representations; Matched asymptotic expansions; Ordinary differential equations; Stokes lines; Stokes multipliers; Stokes phenomenon", reviewer-dates = "Frank William John Olver (15 December 1924--23 April 2013)", } @Article{Zanovello:1995:NAS, author = "Renato Zanovello", title = "Numerical analysis of {Struve} functions with applications to other special functions", journal = j-ANN-NUM-MATH, volume = "2", number = "1--4", pages = "199--208", year = "1995", ISSN = "1021-2655", MRclass = "65D30 (33C99)", MRnumber = "1343530", MRreviewer = "F. W. J. Olver", bibdate = "Tue Nov 7 09:19:06 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", note = "Special functions (Torino, 1993)", acknowledgement = ack-nhfb, ajournal = "Ann. Numer. Math.", fjournal = "Annals of Numerical Mathematics", reviewer-dates = "Frank William John Olver (15 December 1924--23 April 2013)", } @Article{Vrahatis:1996:LCZ, author = "M. N. Vrahatis and O. Ragos and F. A. Zafiropoulos and T. N. Grapsa", title = "Locating and computing zeros of {Airy} functions", journal = j-Z-ANGE-MATH-MECH, volume = "76", number = "7", pages = "419--422", year = "1996", CODEN = "ZAMMAX", DOI = "https://doi.org/10.1002/zamm.19960760714", ISSN = "0044-2267 (print), 1521-4001 (electronic)", ISSN-L = "0044-2267", MRclass = "33C10 (65D20)", MRnumber = "1397264", MRreviewer = "F. W. J. Olver", bibdate = "Tue Nov 7 09:19:06 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", acknowledgement = ack-nhfb, fjournal = "Zeitschrift f{\"{u}}r Angewandte Mathematik und Mechanik", journal-URL = "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1521-4001", reviewer-dates = "Frank William John Olver (15 December 1924--23 April 2013)", } @Article{Elbert:1998:UBZ, author = "{\'A}rp{\'a}d Elbert and Andrea Laforgia", title = "An upper bound for the zeros of the cylinder function {$ C_\nu (x) $}", journal = j-MATH-INEQUAL-APPL, volume = "1", number = "1", pages = "105--111", year = "1998", DOI = "https://doi.org/10.7153/mia-01-08", ISSN = "1331-4343 (print), 1848-9966 (electronic)", ISSN-L = "1331-4343", MRclass = "33C10 (41A60)", MRnumber = "1492914", MRreviewer = "F. W. J. Olver", bibdate = "Tue Nov 7 09:19:06 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", acknowledgement = ack-nhfb, fjournal = "Mathematical Inequalities \& Applications", journal-URL = "http://mia.ele-math.com/", reviewer-dates = "Frank William John Olver (15 December 1924--23 April 2013)", }

%%% ==================================================================== %%% Part 3: Publications about Frank W. J. Olver and his works %%% %%% This section includes publications reviewed by Frank Olver in %%% MathReviews. %%% %%% Bibliography entries, sorted by year, and then by citation label:

@Article{Miller:1952:MDC, author = "J. C. P. Miller", title = "A method for the determination of converging factors, applied to the asymptotic expansions for the parabolic cylinder functions", journal = j-PROC-CAMBRIDGE-PHIL-SOC, volume = "48", pages = "243--254", month = apr, year = "1952", CODEN = "PCPSA4", DOI = "https://doi.org/10.1017/s0305004100027602", ISSN = "0008-1981", ISSN-L = "0008-1981", MRclass = "40.0X", MRnumber = "47163", MRreviewer = "H. A. Lauwerier", bibdate = "Tue Nov 7 05:42:20 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib; https://www.math.utah.edu/pub/tex/bib/convacc.bib", acknowledgement = ack-nhfb, fjournal = "Proceedings of the Cambridge Philosophical Society", journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=PSP", remark = "This is the paper with ``Miller's algorithm'': see \cite{Olver:1964:EAM,Olver:1967:EMA}.", } @Article{F:1963:BRF, author = "A. F.", title = "Book Review: {F. W. J. Olver, \booktitle{Tables for Bessel Functions of Moderate or Large Orders}, v. 6, Her Majesty's Stationery Office, London, 1962, iii + 51 pp.}", journal = j-MATH-COMPUT, volume = "17", number = "84", pages = "464--466", month = oct, year = "1963", CODEN = "MCMPAF", DOI = "https://doi.org/10.2307/2004022", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Sun Nov 5 07:21:53 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib; https://www.math.utah.edu/pub/tex/bib/mathcomp1960.bib", acknowledgement = ack-nhfb, fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", subject-dates = "Frank William John Olver (15 December 1924--23 April 2013)", } @Article{Oliver:1968:EOE, author = "J. Oliver", title = "An extension of {Olver}'s error estimation technique for linear recurrence relations", journal = j-NUM-MATH, volume = "12", number = "5", pages = "459--467", month = dec, year = "1968", CODEN = "NUMMA7", DOI = "https://doi.org/10.1007/BF02161370", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Thu Jan 13 08:26:57 2011", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib; https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", subject-dates = "Frank William John Olver (15 December 1924--23 April 2013)", } @Article{Schmid:1969:BRF, author = "E. Schmid", title = "Book Review: {F. L. Bauer and A. S. Householder and F. J. Olver and H. Rutishauser and K. Samelson and E. Stiefel, \booktitle{Handbook for Automatic computation, Vol. I. Die Grundlehren der mathematischen Wissenschaften in Einzeldarstellungen mit besonderer Ber{\"u}cksichtigung der Anwendungsgebiete}, Band 135}", journal = j-COMPUTING, volume = "4", number = "3", pages = "276--276", month = sep, year = "1969", CODEN = "CMPTA2", DOI = "https://doi.org/10.1007/BF02234776", ISSN = "0010-485X (print), 1436-5057 (electronic)", ISSN-L = "0010-485X", bibdate = "Wed Nov 15 17:04:26 2000", bibsource = "http://springerlink.metapress.com/openurl.asp?genre=journal&issn=0010-485X; https://www.math.utah.edu/pub/bibnet/authors/b/bauer-friedrich-ludwig.bib; https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib; https://www.math.utah.edu/pub/bibnet/authors/r/rutishauser-heinz.bib; https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib; https://www.math.utah.edu/pub/tex/bib/computing.bib", acknowledgement = ack-ec, fjournal = "Computing", journal-URL = "http://link.springer.com/journal/607", subject-dates = "Eduard Stiefel (21 April 1909--25 November 1978); Frank William John Olver (15 December 1924--23 April 2013); Friedrich (``Fritz'') Ludwig Bauer (10 June 1924--26 March 2015); Heinz Rutishauser (30 January 1918--10 November 1970)", } @Article{Sadowski:1972:UOA, author = "W. L. Sadowski and Daniel W. Lozier", title = "Use of {Olver}'s algorithm to evaluate certain definite integrals of plasma physics involving {Chebyshev} polynomials", journal = j-J-COMPUT-PHYS, volume = "10", number = "3", pages = "607--613", month = dec, year = "1972", CODEN = "JCTPAH", DOI = "https://doi.org/10.1016/0021-9991(72)90054-X", ISSN = "0021-9991 (print), 1090-2716 (electronic)", ISSN-L = "0021-9991", bibdate = "Sun Jan 1 09:15:08 MST 2012", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib; https://www.math.utah.edu/pub/tex/bib/jcomputphys1970.bib", URL = "http://www.sciencedirect.com/science/article/pii/002199917290054X", acknowledgement = ack-nhfb, fjournal = "Journal of Computational Physics", journal-URL = "http://www.sciencedirect.com/science/journal/00219991/", subject-dates = "Frank William John Olver (15 December 1924--23 April 2013)", } @Article{Wimp:1975:BRA, author = "Jet Wimp", title = "Book Review: {{\booktitle{Asymptotics and Special Functions}} (F. W. J. Olver)}", journal = j-SIAM-REVIEW, volume = "17", number = "3", pages = "569--575", month = "????", year = "1975", CODEN = "SIREAD", DOI = "https://doi.org/10.1137/1017059", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Sat Mar 29 09:52:25 MDT 2014", bibsource = "http://epubs.siam.org/toc/siread/17/3; https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib; https://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", journal-URL = "http://epubs.siam.org/sirev", onlinedate = "July 1975", subject-dates = "Frank William John Olver (15 December 1924--23 April 2013)", } @Article{VanderCruyssen:1979:ROA, author = "P. {Van der Cruyssen}", title = "A reformulation of {Olver}'s algorithm for the numerical solution of second-order linear difference equations", journal = j-NUM-MATH, volume = "32", number = "2", pages = "159--166", month = jun, year = "1979", CODEN = "NUMMA7", DOI = "https://doi.org/10.1007/BF01404872", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65Q05", MRnumber = "80c:65241", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib; https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4170 (Differential equations)", corpsource = "Dept. of Math., Univ. of Antwerp, Wilrijk, Belgium", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "algorithm; difference equations; differential equations; second order difference equations", subject-dates = "Frank William John Olver (15 December 1924--23 April 2013)", treatment = "A Application; T Theoretical or Mathematical", } @Article{Cash:1980:NOA, author = "J. R. Cash", title = "A note on {Olver}'s algorithm for the solution of second-order linear difference equations", journal = j-MATH-COMPUT, volume = "35", number = "151", pages = "767--772", month = jul, year = "1980", CODEN = "MCMPAF", DOI = "https://doi.org/10.1090/S0025-5718-1980-0572854-5", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65Q05", MRnumber = "81h:65124", MRreviewer = "R. M. M. Mattheij", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib; https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", URL = "https://www.ams.org/journals/mcom/1980-35-151/S0025-5718-1980-0572854-5", acknowledgement = ack-nhfb, classcodes = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Dept. of Math., Imperial Coll., London, UK", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "difference equations; linear difference equations; Olver's algorithm", subject-dates = "Frank William John Olver (15 December 1924--23 April 2013)", treatment = "T Theoretical or Mathematical", } @Article{Fransen:1981:ACH, author = "Arne Frans{\'e}n", title = "Addendum and corrigendum to: {``High-precision values of the gamma function and of some related coefficients''} {[Math. Comp. {\bf 34} (1980), no. 150, 553--566, MR 81f:65004] by Frans{\'e}n and S. Wrigge}", journal = j-MATH-COMPUT, volume = "37", number = "155", pages = "233--235", month = jul, year = "1981", CODEN = "MCMPAF", DOI = "https://doi.org/10.1090/S0025-5718-1981-0616377-4", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65A05 (65D20)", MRnumber = "82m:65002", bibdate = "Sat Apr 01 10:12:58 2000", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib; https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", note = "See \cite{Fransen:1980:HPV}.", acknowledgement = ack-nhfb, fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", subject-dates = "Frank William John Olver (15 December 1924--23 April 2013)", } @Article{Clenshaw:1988:SLI, author = "C. W. Clenshaw and Peter R. Turner", title = "The symmetric level-index system", journal = j-IMA-J-NUMER-ANAL, volume = "8", number = "4", pages = "517--526", month = oct, year = "1988", CODEN = "IJNADH", DOI = "https://doi.org/10.1093/imanum/8.4.517", ISSN = "0272-4979 (print), 1464-3642 (electronic)", ISSN-L = "0272-4979", MRclass = "65D99 (65G99)", MRnumber = "89k:65025", bibdate = "Sat Dec 23 17:06:35 MST 2000", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib; https://www.math.utah.edu/pub/tex/bib/fparith.bib; https://www.math.utah.edu/pub/tex/bib/imajnumeranal.bib; MathSciNet database", acknowledgement = ack-nhfb, author-dates = "Charles William Clenshaw (15 March 1926--23 September 2004)", fjournal = "IMA Journal of Numerical Analysis", journal-URL = "http://imajna.oxfordjournals.org/content/by/year", subject-dates = "Frank William John Olver (15 December 1924--23 April 2013)", } @Article{Clenshaw:1989:RSU, author = "C. W. Clenshaw and Peter R. Turner", title = "Root squaring using level-index arithmetic", journal = j-COMPUTING, volume = "43", number = "2", pages = "171--185", month = jun, year = "1989", CODEN = "CMPTA2", DOI = "https://doi.org/10.1007/BF02241860", ISSN = "0010-485X (print), 1436-5057 (electronic)", ISSN-L = "0010-485X", MRclass = "65G99 (65H05)", MRnumber = "1 034 362", bibdate = "Mon Oct 11 20:38:38 MDT 1999", bibsource = "http://springerlink.metapress.com/openurl.asp?genre=journal&issn=0010-485X; https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib; https://www.math.utah.edu/pub/tex/bib/computing.bib; https://www.math.utah.edu/pub/tex/bib/fparith.bib; MathSciNet database", acknowledgement = ack-nhfb, author-dates = "Charles William Clenshaw (15 March 1926--23 September 2004)", fjournal = "Computing", journal-URL = "http://link.springer.com/journal/607", subject-dates = "Frank William John Olver (15 December 1924--23 April 2013)", } @InProceedings{Allen:1990:SPB, author = "J. D. Allen and Robert E. {O'Malley, Jr.}", title = "Singularly perturbed boundary value problems viewed in the {Li{\'e}nard} plane", crossref = "Wong:1990:ACA", pages = "357--378", year = "1990", MRclass = "34E15 (34B15)", MRnumber = "1052441", MRreviewer = "Walter G. Kelley", bibdate = "Thu Nov 16 09:34:22 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", acknowledgement = ack-nhfb, subject-dates = "Frank William John Olver (15 December 1924--23 April 2013)", } @InProceedings{Askey:1990:GAU, author = "Richard A. Askey", title = "Graphs as an aid to understanding special functions", crossref = "Wong:1990:ACA", pages = "3--33", year = "1990", MRclass = "33-01", MRnumber = "1052427", bibdate = "Thu Nov 16 09:34:22 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", acknowledgement = ack-nhfb, subject-dates = "Frank William John Olver (15 December 1924--23 April 2013)", } @InProceedings{Berg:1990:AIS, author = "L. Berg", title = "Asymptotics of integrals, series, and operators", crossref = "Wong:1990:ACA", pages = "35--52", year = "1990", MRclass = "41A60 (30E15 41A65)", MRnumber = "1052428", MRreviewer = "John S. Lew", bibdate = "Thu Nov 16 09:34:22 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", acknowledgement = ack-nhfb, subject-dates = "Frank William John Olver (15 December 1924--23 April 2013)", } @InProceedings{Boyd:1990:AEC, author = "W. G. C. Boyd", title = "Asymptotic expansions for the coefficient functions associated with linear second-order differential equations: the simple pole case", crossref = "Wong:1990:ACA", pages = "53--73", year = "1990", MRclass = "34E05 (30E15 33C10 34A20 41A60)", MRnumber = "1052429", MRreviewer = "John S. Lew", bibdate = "Thu Nov 16 09:34:22 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", acknowledgement = ack-nhfb, subject-dates = "Frank William John Olver (15 December 1924--23 April 2013)", } @InProceedings{Carinhas:1990:CAF, author = "P. A. Carinhas and S. A. Fulling", title = "Computational asymptotics of fourth-order operators", crossref = "Wong:1990:ACA", pages = "601--617", year = "1990", MRclass = "65P05 (41A60)", MRnumber = "1052455", MRreviewer = "V. F. Butuzov", bibdate = "Thu Nov 16 09:34:22 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", acknowledgement = ack-nhfb, subject-dates = "Frank William John Olver (15 December 1924--23 April 2013)", } @InProceedings{Carlson:1990:LTI, author = "B. C. Carlson", title = "{Landen} transformations of integrals", crossref = "Wong:1990:ACA", pages = "75--94", year = "1990", MRclass = "33C99 (26A06 33-04 33B99 65D20)", MRnumber = "1052430", bibdate = "Thu Nov 16 09:34:22 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", acknowledgement = ack-nhfb, subject-dates = "Frank William John Olver (15 December 1924--23 April 2013)", } @InProceedings{Ciasullo:1990:ACC, author = "L. M. Ciasullo and James A. Cochran", title = "Accelerating the convergence of {Chebyshev} series", crossref = "Wong:1990:ACA", pages = "95--136", year = "1990", MRclass = "65B10 (33C45 40A05 41A50)", MRnumber = "1052431", MRreviewer = "Pierre Hillion", bibdate = "Thu Nov 16 09:34:22 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib; https://www.math.utah.edu/pub/tex/bib/convacc.bib", acknowledgement = ack-nhfb, subject-dates = "Frank William John Olver (15 December 1924--23 April 2013)", } @InProceedings{Connor:1990:PMU, author = "J. N. L. Connor", title = "Practical methods for the uniform asymptotic evaluation of oscillating integrals with several coalescing saddle points", crossref = "Wong:1990:ACA", pages = "137--173", year = "1990", MRclass = "65D30 (34E05 35C20 41A60 58C27 58G15)", MRnumber = "1052432", MRreviewer = "Jean Leray", bibdate = "Thu Nov 16 09:34:22 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", acknowledgement = ack-nhfb, subject-dates = "Frank William John Olver (15 December 1924--23 April 2013)", } @InProceedings{Davis:1990:CSW, author = "Anthony M. J. Davis", title = "Continental shelf wave scattering: partial removal of the rigid lid", crossref = "Wong:1990:ACA", pages = "555--563", year = "1990", MRclass = "86A05", MRnumber = "1052452", MRreviewer = "E. G. Broadbent", bibdate = "Thu Nov 16 09:34:22 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", acknowledgement = ack-nhfb, subject-dates = "Frank William John Olver (15 December 1924--23 April 2013)", } @InProceedings{Dieci:1990:SAI, author = "Luca Dieci and Robert D. Russell", title = "Some aspects of invariant subspaces computation", crossref = "Wong:1990:ACA", pages = "565--585", year = "1990", MRclass = "65F05 (15A18)", MRnumber = "1052453", MRreviewer = "Zden\v{e}k Strako\v{s}", bibdate = "Thu Nov 16 09:34:22 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", acknowledgement = ack-nhfb, subject-dates = "Frank William John Olver (15 December 1924--23 April 2013)", } @InProceedings{Frenzen:1990:EBC, author = "C. L. Frenzen", title = "Error bounds via complete monotonicity for a uniform asymptotic expansion of the {Legendre} function {$ P_n^{-m}(\cosh z) $}", crossref = "Wong:1990:ACA", pages = "587--599", year = "1990", MRclass = "33C45 (41A60 65D20)", MRnumber = "1052454", bibdate = "Thu Nov 16 09:34:22 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", acknowledgement = ack-nhfb, subject-dates = "Frank William John Olver (15 December 1924--23 April 2013)", } @InProceedings{Gatteschi:1990:NIZ, author = "Luigi Gatteschi", title = "New inequalities for the zeros of confluent hypergeometric functions", crossref = "Wong:1990:ACA", pages = "175--192", year = "1990", MRclass = "33C15", MRnumber = "1052433", bibdate = "Thu Nov 16 09:34:22 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", acknowledgement = ack-nhfb, subject-dates = "Frank William John Olver (15 December 1924--23 April 2013)", } @InProceedings{Gautschi:1990:HSV, author = "Walter Gautschi", title = "How (un)stable are {Vandermonde} systems?", crossref = "Wong:1990:ACA", pages = "193--210", year = "1990", MRclass = "65F35 (15A12)", MRnumber = "1052434", bibdate = "Thu Nov 16 09:34:22 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", acknowledgement = ack-nhfb, subject-dates = "Frank William John Olver (15 December 1924--23 April 2013)", } @InProceedings{Goh:1990:UAD, author = "William M. Y. Goh and Eric Schmutz", title = "Universal asymptotic distribution functions mod $1$", crossref = "Wong:1990:ACA", pages = "619--626", year = "1990", MRclass = "11K06 (58F08)", MRnumber = "1052456", MRreviewer = "Robert F. Tichy", bibdate = "Thu Nov 16 09:34:22 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", acknowledgement = ack-nhfb, subject-dates = "Frank William John Olver (15 December 1924--23 April 2013)", } @InProceedings{Hanson:1990:SPE, author = "Floyd B. Hanson", title = "Singular point and exponential asymptotics", crossref = "Wong:1990:ACA", pages = "211--240", year = "1990", MRclass = "34E15 (34E20 41A60 92D25)", MRnumber = "1052435", MRreviewer = "John S. Lew", bibdate = "Thu Nov 16 09:34:22 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", acknowledgement = ack-nhfb, subject-dates = "Frank William John Olver (15 December 1924--23 April 2013)", } @InProceedings{Ikebe:1990:RAS, author = "Yasuhiko Ikebe and Marek Kowalski and Frank Stenger", title = "Rational approximation of the step, filter, and impulse functions", crossref = "Wong:1990:ACA", pages = "441--454", year = "1990", MRclass = "41A20 (30E10)", MRnumber = "1052446", MRreviewer = "A. Bultheel", bibdate = "Thu Nov 16 09:34:22 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", acknowledgement = ack-nhfb, subject-dates = "Frank William John Olver (15 December 1924--23 April 2013)", } @InProceedings{Jones:1990:UAR, author = "D. S. Jones", title = "Uniform asymptotic remainders", crossref = "Wong:1990:ACA", pages = "241--264", year = "1990", MRclass = "41A60 (33E99)", MRnumber = "1052436", MRreviewer = "F. W. J. Olver", bibdate = "Tue Nov 7 09:19:06 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", acknowledgement = ack-nhfb, reviewer-dates = "Frank William John Olver (15 December 1924--23 April 2013)", subject-dates = "Frank William John Olver (15 December 1924--23 April 2013)", } @InProceedings{Kaminski:1990:VSP, author = "D. Kaminski", title = "On the $n$-variable saddle point and steepest descent methods", crossref = "Wong:1990:ACA", pages = "627--637", year = "1990", MRclass = "41A60", MRnumber = "1052457", MRreviewer = "F. Ursell", bibdate = "Thu Nov 16 09:34:22 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", acknowledgement = ack-nhfb, subject-dates = "Frank William John Olver (15 December 1924--23 April 2013)", } @InProceedings{Kazarinoff:1990:PTS, author = "Nicholas D. Kazarinoff and Joseph S. Wilkowski", title = "Period tripling and subharmonic oscillations in {Marangoni} flows in a cylindrical liquid bridge", crossref = "Wong:1990:ACA", pages = "265--283", year = "1990", MRclass = "76R99 (58F40 76E15 76M99 80A20)", MRnumber = "1052437", bibdate = "Thu Nov 16 09:34:22 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", acknowledgement = ack-nhfb, subject-dates = "Frank William John Olver (15 December 1924--23 April 2013)", } @InProceedings{Leung:1990:PSD, author = "Anthony W. Leung and Guangwei Fan", title = "Positive solutions for degenerate and nondegenerate elliptic systems: existence and numerical approximations", crossref = "Wong:1990:ACA", pages = "285--298", year = "1990", MRclass = "65P05 (35B05 35J45)", MRnumber = "1052438", MRreviewer = "Klaus Ulrich", bibdate = "Thu Nov 16 09:34:22 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", acknowledgement = ack-nhfb, subject-dates = "Frank William John Olver (15 December 1924--23 April 2013)", } @InProceedings{Mainardi:1990:AMS, author = "Francesco Mainardi and Giuliano Vitali", title = "Applications of the method of steepest descents in wave-propagation problems", crossref = "Wong:1990:ACA", pages = "639--651", year = "1990", MRclass = "73D99 (73F15 73V20)", MRnumber = "1052458", MRreviewer = "W. Kecs", bibdate = "Thu Nov 16 09:34:22 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", acknowledgement = ack-nhfb, subject-dates = "Frank William John Olver (15 December 1924--23 April 2013)", } @InProceedings{Meyer:1990:OTS, author = "R. E. Meyer", title = "Observable tunneling in several dimensions", crossref = "Wong:1990:ACA", pages = "299--327", year = "1990", MRclass = "81Q20 (58G18)", MRnumber = "1052439", bibdate = "Thu Nov 16 09:34:22 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", acknowledgement = ack-nhfb, subject-dates = "Frank William John Olver (15 December 1924--23 April 2013)", } @InProceedings{Paris:1990:API, author = "R. B. Paris", title = "The asymptotics of {Pearcey}'s integral for complex variables", crossref = "Wong:1990:ACA", pages = "653--667", year = "1990", MRclass = "41A60 (58C27 78A45)", MRnumber = "1052459", MRreviewer = "F. Ursell", bibdate = "Thu Nov 16 09:34:22 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", acknowledgement = ack-nhfb, subject-dates = "Frank William John Olver (15 December 1924--23 April 2013)", } @InProceedings{Reid:1990:ATO, author = "W. H. Reid", title = "On the asymptotic theory of the {Orr--Sommerfeld} problem", crossref = "Wong:1990:ACA", pages = "379--391", year = "1990", MRclass = "76E05", MRnumber = "1052442", MRreviewer = "P. W. Duck", bibdate = "Thu Nov 16 09:34:22 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", acknowledgement = ack-nhfb, subject-dates = "Frank William John Olver (15 December 1924--23 April 2013)", } @InProceedings{Rudraiah:1990:AMM, author = "N. Rudraiah and O. P. Chandna and R. M. Barron", title = "Asymptotic methods in magnetoconvection", crossref = "Wong:1990:ACA", pages = "669--683", year = "1990", MRclass = "76E25 (76E15 76W05)", MRnumber = "1052460", MRreviewer = "D. A. Nield", bibdate = "Thu Nov 16 09:34:22 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", acknowledgement = ack-nhfb, subject-dates = "Frank William John Olver (15 December 1924--23 April 2013)", } @InProceedings{Shih:1990:ILS, author = "Shagi-Di Shih", title = "The interior layer structure for a linear parabolic problem with discontinuous data", crossref = "Wong:1990:ACA", pages = "685--696", year = "1990", MRclass = "35B25 (35K15)", MRnumber = "1052461", MRreviewer = "Gary M. Lieberman", bibdate = "Thu Nov 16 09:34:22 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", acknowledgement = ack-nhfb, subject-dates = "Frank William John Olver (15 December 1924--23 April 2013)", } @InProceedings{Sibuya:1990:GPF, author = "Yasutaka Sibuya", title = "{Gevrey} property of formal solutions in a parameter", crossref = "Wong:1990:ACA", pages = "393--401", year = "1990", MRclass = "34A20 (34E15)", MRnumber = "1052443", MRreviewer = "W. Balser", bibdate = "Thu Nov 16 09:34:22 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", acknowledgement = ack-nhfb, subject-dates = "Frank William John Olver (15 December 1924--23 April 2013)", } @InProceedings{Siegel:1990:AES, author = "D. Siegel", title = "Asymptotic expansions of solutions to {$ \Delta u - u = f $} at infinity", crossref = "Wong:1990:ACA", pages = "697--705", year = "1990", MRclass = "35C20 (35J05)", MRnumber = "1052462", MRreviewer = "Wei Tao Zhang", bibdate = "Thu Nov 16 09:34:22 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", acknowledgement = ack-nhfb, subject-dates = "Frank William John Olver (15 December 1924--23 April 2013)", } @InProceedings{Smith:1990:RAA, author = "Donald R. Smith", title = "A {Riccati} approach to the {Airy} equation", crossref = "Wong:1990:ACA", pages = "403--415", year = "1990", MRclass = "34A20 (33C10 34C20)", MRnumber = "1052444", MRreviewer = "Donald A. Lutz", bibdate = "Thu Nov 16 09:34:22 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", acknowledgement = ack-nhfb, subject-dates = "Frank William John Olver (15 December 1924--23 April 2013)", } @InProceedings{Soni:1990:SPA, author = "K. Soni and R. P. Soni", title = "A system of polynomials associated with the {Chester}, {Friedman}, and {Ursell} technique", crossref = "Wong:1990:ACA", pages = "417--440", year = "1990", MRclass = "30E15 (33C10 41A60)", MRnumber = "1052445", MRreviewer = "Alexander I. Kheyfits", bibdate = "Thu Nov 16 09:34:22 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", acknowledgement = ack-nhfb, subject-dates = "Frank William John Olver (15 December 1924--23 April 2013)", } @InProceedings{Spigler:1990:AZS, author = "R. Spigler and M. Vianello", title = "Approximating zeros of solutions of second-order linear {ODEs} by ``phase function'' methods", crossref = "Wong:1990:ACA", pages = "707--722", year = "1990", MRclass = "65L99 (34A45 34C10)", MRnumber = "1052463", MRreviewer = "R. M. M. Mattheij", bibdate = "Thu Nov 16 09:34:22 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", acknowledgement = ack-nhfb, subject-dates = "Frank William John Olver (15 December 1924--23 April 2013)", } @Article{Spigler:1990:NME, author = "Renato Spigler and Marco Vianello", title = "A numerical method for evaluating zeros of solutions of second-order linear differential equations", journal = j-MATH-COMPUT, volume = "55", number = "192", pages = "591--612", month = oct, year = "1990", CODEN = "MCMPAF", DOI = "https://doi.org/10.1090/S0025-5718-1990-1035945-7", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65L99 (65D15)", MRnumber = "91d:65125", MRreviewer = "David R. Hill", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib; https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Padova Univ., Italy", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "2nd-order linear differential equations; asymptotic analysis; Boruvka's approach; half line; Kummer equation; linear differential equations; nonlinear 3rd-order equation; numerical algorithm; numerical analysis; numerical method; Olver; oscillatory case; real; second-order; transformations; zeros of solutions", subject-dates = "Frank William John Olver (15 December 1924--23 April 2013)", treatment = "T Theoretical or Mathematical", } @InProceedings{Stoyanov:1990:AEI, author = "B. J. Stoyanov and R. A. Farrell and J. F. Bird", title = "Asymptotic expansions of integrals of two {Bessel} functions", crossref = "Wong:1990:ACA", pages = "723--740", year = "1990", MRclass = "33C10 (41A60)", MRnumber = "1052464", bibdate = "Thu Nov 16 09:34:22 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", acknowledgement = ack-nhfb, subject-dates = "Frank William John Olver (15 December 1924--23 April 2013)", } @InProceedings{Temme:1990:PAE, author = "Nico M. Temme", title = "Polynomial asymptotic estimates of {Gegenbauer}, {Laguerre}, and {Jacobi} polynomials", crossref = "Wong:1990:ACA", pages = "455--476", year = "1990", MRclass = "33C45 (41A60)", MRnumber = "1052447", bibdate = "Thu Nov 16 09:34:22 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", acknowledgement = ack-nhfb, subject-dates = "Frank William John Olver (15 December 1924--23 April 2013)", } @InProceedings{Ursell:1990:ILP, author = "F. Ursell", title = "Integrals with a large parameter and the maximum-modulus principle", crossref = "Wong:1990:ACA", pages = "477--489", year = "1990", MRclass = "33C99 (41A60)", MRnumber = "1052448", bibdate = "Thu Nov 16 09:34:22 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", acknowledgement = ack-nhfb, subject-dates = "Frank William John Olver (15 December 1924--23 April 2013)", } @InProceedings{Wan:1990:FAE, author = "Frederic Y. M. Wan", title = "Finite axial extension and torsion of elastic helicoidal shells", crossref = "Wong:1990:ACA", pages = "491--516", year = "1990", MRclass = "73K15 (73G05)", MRnumber = "1052449", bibdate = "Thu Nov 16 09:34:22 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", acknowledgement = ack-nhfb, subject-dates = "Frank William John Olver (15 December 1924--23 April 2013)", } @InProceedings{Wimp:1990:SPC, author = "Jet Wimp", title = "Some properties of convolution sequences and asymptotics for the {Taylor} coefficients for products of {Bessel} functions", crossref = "Wong:1990:ACA", pages = "517--533", year = "1990", MRclass = "33C10 (41A60)", MRnumber = "1052450", bibdate = "Thu Nov 16 09:34:22 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", acknowledgement = ack-nhfb, subject-dates = "Frank William John Olver (15 December 1924--23 April 2013)", } @InProceedings{Wood:1990:EES, author = "A. D. Wood and R. B. Paris", title = "On eigenvalues with exponentially small imaginary part", crossref = "Wong:1990:ACA", pages = "741--749", year = "1990", MRclass = "34B30 (34L05 34L40)", MRnumber = "1052465", MRreviewer = "Walter Eberhard", bibdate = "Thu Nov 16 09:34:22 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", acknowledgement = ack-nhfb, subject-dates = "Frank William John Olver (15 December 1924--23 April 2013)", } @InProceedings{Zahar:1990:GOA, author = "R. V. M. Zahar", title = "A Generalization of {Olver}'s Algorithm for Linear Difference Systems", crossref = "Wong:1990:ACA", pages = "535--551", year = "1990", MRclass = "39A10 (41A60 65Q05)", MRnumber = "1052451", bibdate = "Sun Nov 05 09:38:06 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", acknowledgement = ack-nhfb, subject-dates = "Frank William John Olver (15 December 1924--23 April 2013)", xxpages = "535--554", } @Article{Verosky:1991:NPO, author = "John M. Verosky", title = "Negative powers of {Olver} recursion operators", journal = j-J-MATH-PHYS, volume = "32", number = "7", pages = "1733--1736", month = jul, year = "1991", CODEN = "JMAPAQ", DOI = "https://doi.org/10.1063/1.529234", ISSN = "0022-2488 (print), 1089-7658 (electronic), 1527-2427", ISSN-L = "0022-2488", MRclass = "35K22 (35Q53 58G35)", MRnumber = "93f:35090", MRreviewer = "Alexander A. Pankov", bibdate = "Tue Nov 1 08:57:29 MDT 2011", bibsource = "http://jmp.aip.org/; https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib; https://www.math.utah.edu/pub/tex/bib/jmathphys1990.bib", URL = "http://jmp.aip.org/resource/1/jmapaq/v32/i7/p1733_s1", acknowledgement = ack-nhfb, fjournal = "Journal of Mathematical Physics", journal-URL = "http://jmp.aip.org/", pagecount = "4", subject-dates = "Frank William John Olver (15 December 1924--23 April 2013)", } @Article{Andrews:1994:D, author = "George Andrews and George Gasper and Mourad Ismail and Paul Nevai", title = "Dedication: [special issue to {Richard A. Askey} and {Frank W. J. Olver}]", journal = j-SIAM-J-MATH-ANA, volume = "25", number = "2", pages = "vii--ix", month = mar, year = "1994", CODEN = "SJMAAH", DOI = "https://doi.org/10.1137/0525010", ISSN = "0036-1410 (print), 1095-7154 (electronic)", ISSN-L = "0036-1410", MRclass = "01A70", MRnumber = "1 266 556", bibdate = "Sun Nov 28 19:25:56 MST 2010", bibsource = "https://epubs.siam.org/toc/sjmaah/25/2; https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib; https://www.math.utah.edu/pub/tex/bib/siamjmathana.bib", URL = "https://epubs.siam.org/toc/sjmaah/25/2", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Mathematical Analysis", journal-URL = "http://epubs.siam.org/sima", subject-dates = "Frank William John Olver (15 December 1924--23 April 2013)", } @InProceedings{Hasegawa:1994:EOS, author = "Takemitsu Hasegawa and Tatsuo Torii", title = "An extension of the {Olver--Sookne} method for the solution of second-order linear difference equations", crossref = "Gautschi:1994:MCH", pages = "297--300", year = "1994", bibdate = "Thu Oct 25 14:53:00 2007", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib; https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib", URL = "http://math.nist.gov/nesf/", acknowledgement = ack-nhfb, subject-dates = "Frank William John Olver (15 December 1924--23 April 2013)", } @Article{Spigler:1994:DCL, author = "Renato Spigler and Marco Vianello", title = "Discrete and Continuous {Liouville--Green--Olver} Approximations: a Unified Treatment Via {Volterra--Stieltjes} Integral Equations", journal = j-SIAM-J-MATH-ANA, volume = "25", number = "2", pages = "720--732", month = mar, year = "1994", CODEN = "SJMAAH", DOI = "https://doi.org/10.1137/S0036141092231215", ISSN = "0036-1410 (print), 1095-7154 (electronic)", ISSN-L = "0036-1410", MRclass = "39A12 (34E20 39A10 45D05)", MRnumber = "95i:39005", MRreviewer = "T. J. Mahar", bibdate = "Sun Nov 28 19:25:56 MST 2010", bibsource = "http://epubs.siam.org/sam-bin/dbq/toc/SIMA/25/2; https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib; https://www.math.utah.edu/pub/tex/bib/siamjmathana.bib", URL = "http://epubs.siam.org/sam-bin/dbq/article/23121", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Mathematical Analysis", journal-URL = "http://epubs.siam.org/sima", subject-dates = "Frank William John Olver (15 December 1924--23 April 2013)", } @InCollection{Boisvert:2001:HMF, author = "Ronald F. Boisvert and Daniel W. Lozier", title = "{{\booktitle{Handbook of Mathematical Functions}}}", crossref = "Lide:2001:CEM", pages = "135--139", year = "2001", bibdate = "Mon Nov 06 07:39:27 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib; https://www.math.utah.edu/pub/bibnet/authors/m/metropolis-nicholas.bib; https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib; https://www.math.utah.edu/pub/bibnet/authors/t/todd-john.bib; https://www.math.utah.edu/pub/bibnet/authors/t/tukey-john-w.bib", URL = "https://nvlpubs.nist.gov/nistpubs/sp958-lide/135-139.pdf; https://nvlpubs.nist.gov/nistpubs/sp958-lide/html/135-139.html", acknowledgement = ack-nhfb, keywords = "Abramowitz, M.; Antosiewicz, H. A.; Blanch, G.; Cahill, W. F.; Curtiss, J. H.; Davis, P. J.; Erd{\'e}lyi, A.; Gautschi, W.; Goldberg, K.; Gray, M. C.; Hamming, R. W.; Haynsworth, E. V.; Hochstrasser, U. W.; Lehmer, D. H.; Liepman, D. S.; Lowan, A. N.; Luke, Y. L.; McNish, A. G.; Metropolis, N. C.; Miller, J. C. P.; Morse, P. M.; Newman, M.; Oberhettinger, F.; Olver, F. W. J.; Peavy, S.; Polonsky, I.; Rosser, J. B.; Schopf, A.; Severo, N. C.; Slater, L. J.; Southard, T. H.; Stegun, I. A.; Thacher, Jr., H. C.; Thomson, L. M. Milne; Todd, John; Tompkins, C. B.; Tukey, J. W.; Zelen, M.; Zucker. R.", remark = "This paper provides a history of the development and production of the 1964 \booktitle{Handbook of Mathematical Functions}.", subject-dates = "Frank William John Olver (15 December 1924--23 April 2013)", } @Article{Fabijonas:2004:AAF, author = "B. R. Fabijonas", title = "{Algorithm 838}: {Airy} Functions", journal = j-TOMS, volume = "30", number = "4", pages = "491--501", month = dec, year = "2004", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/1039813.1039819", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Tue Apr 12 06:34:31 MDT 2005", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib; https://www.math.utah.edu/pub/tex/bib/toms.bib", URL = "https://dl.acm.org/doi/10.1145/1039813.1039819", abstract = "We present a Fortran 90 module, which computes the solutions and their derivatives of Airy's differential equation, both on the real line and in the complex plane. The module also computes the zeros and associated values of the solutions and their derivatives, and the modulus and phase functions on the negative real axis. The computational methods are numerical integration of the differential equation and summation of asymptotic expansions for large argument. These methods were chosen because they are simple, adaptable to any precision, and amenable to rigorous error analysis. The module can be used to validate other codes or as a component in programs that require Airy functions.", acknowledgement = ack-nhfb, author-dates = "Frank William John Olver (15 December 1924--23 April 2013)", fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "http://dl.acm.org/pub.cfm?id=J782", subject-dates = "Frank William John Olver (15 December 1924--23 April 2013)", } @Article{Wazwaz:2007:NSK, author = "Abdul-Majid Wazwaz", title = "New solitons and kinks solutions to the {Sharma--Tasso--Olver} equation", journal = j-APPL-MATH-COMP, volume = "188", number = "2", pages = "1205--1213", day = "15", month = may, year = "2007", CODEN = "AMHCBQ", DOI = "https://doi.org/10.1016/j.amc.2006.10.075", ISSN = "0096-3003 (print), 1873-5649 (electronic)", ISSN-L = "0096-3003", bibdate = "Sat Jul 12 09:03:05 MDT 2008", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib; https://www.math.utah.edu/pub/tex/bib/applmathcomput2005.bib", URL = "http://www.sciencedirect.com/science/article/pii/S0096300306014640", acknowledgement = ack-nhfb, fjournal = "Applied Mathematics and Computation", journal-URL = "http://www.sciencedirect.com/science/journal/00963003/", subject-dates = "Frank William John Olver (15 December 1924--23 April 2013)", } @Misc{Anonymous:2008:NRP, author = "Anonymous", title = "{NIST} Releases Preview of Much-Anticipated Online Mathematics Reference", howpublished = "NIST Web site", day = "24", month = jun, year = "2008", bibdate = "Sun Nov 05 13:15:33 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", URL = "https://www.nist.gov/news-events/news/2008/06/nist-releases-preview-much-anticipated-online-mathematics-reference", acknowledgement = ack-nhfb, subject-dates = "Frank William John Olver (15 December 1924--23 April 2013)", } @Article{Kodama:2008:ASP, author = "Masao Kodama", title = "{Algorithm 877}: {A} Subroutine Package for Cylindrical Functions of Complex Order and Nonnegative Argument", journal = j-TOMS, volume = "34", number = "4", pages = "22:1--22:21", month = jul, year = "2008", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/1377596.1377602", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Wed Jul 16 11:30:01 MDT 2008", bibsource = "http://www.acm.org/pubs/contents/journals/toms/; https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib; https://www.math.utah.edu/pub/tex/bib/elefunt.bib; https://www.math.utah.edu/pub/tex/bib/fortran3.bib; https://www.math.utah.edu/pub/tex/bib/mathcw.bib; https://www.math.utah.edu/pub/tex/bib/toms.bib", abstract = "The algorithm presented provides a package of subroutines for calculating the cylindrical functions $ J_\nu (x) $, $ N_\nu (x) $, $ H_\nu^1 (x) $, $ H_\nu^2 (x) $ where the order $ \nu $ is complex and the real argument $x$ is nonnegative. The algorithm is written in Fortran 95 and calculates the functions using single, double, or quadruple precision according to the value of a parameter defined in the algorithm. The methods of calculating the functions are based on a series expansion, Debye's asymptotic expansions, Olver's asymptotic expansions, and recurrence methods (Miller's algorithms). The relative errors of the functional values computed by this algorithm using double precision are less than $ 2.4 \times 10^{-13} $ in the region $ 0 \leq \mbox {Re}(\nu) \leq 64 $, $ 0 \leq \mbox {Im}(\nu) \leq 63 $, $ 0.024 \leq x \leq 97 $.", acknowledgement = ack-nhfb, articleno = "22", fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "Bessel functions; complex order; Cylindrical functions; Debye's asymptotic expansions; Hankel functions; Miller's algorithms; Neumann functions; nonnegative argument; numerical calculation; Olver's asymptotic expansions", subject-dates = "Frank William John Olver (15 December 1924--23 April 2013)", } @Article{Shang:2008:AEE, author = "Yadong Shang and Jinghong Qin and Yong Huang and Wenjun Yuan", title = "Abundant exact and explicit solitary wave and periodic wave solutions to the {Sharma--Tasso--Olver} equation", journal = j-APPL-MATH-COMP, volume = "202", number = "2", pages = "532--538", day = "15", month = aug, year = "2008", CODEN = "AMHCBQ", DOI = "https://doi.org/10.1016/j.amc.2008.02.034", ISSN = "0096-3003 (print), 1873-5649 (electronic)", ISSN-L = "0096-3003", bibdate = "Fri Sep 3 10:53:22 MDT 2010", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib; https://www.math.utah.edu/pub/tex/bib/applmathcomput2005.bib", URL = "http://www.sciencedirect.com/science/article/pii/S0096300308001379", acknowledgement = ack-nhfb, fjournal = "Applied Mathematics and Computation", journal-URL = "http://www.sciencedirect.com/science/journal/00963003/", subject-dates = "Frank William John Olver (15 December 1924--23 April 2013)", } @Article{Hayes:2009:HA, author = "Brian Hayes", title = "The Higher Arithmetic: How to count to a zillion without falling off the end of the number line", journal = j-AM-SCI, volume = "97", number = "5", pages = "364", year = "2009", CODEN = "AMSCAC", DOI = "https://doi.org/10.1511/2009.80.364", ISSN = "0003-0996 (print), 1545-2786 (electronic)", ISSN-L = "0003-0996", bibdate = "Sun Nov 5 09:03:34 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib; https://www.math.utah.edu/pub/tex/bib/fparith.bib", acknowledgement = ack-nhfb, fjournal = "American Scientist", journal-URL = "http://www.americanscientist.org/issues/past.aspx", keywords = "level-index arithmetic", remark = "Reprinted in \cite[Chapter 8]{Hayes:2017:FOM}.", subject-dates = "Frank William John Olver (15 December 1924--23 April 2013)", } @Misc{Anonymous:2010:DLM, author = "Anonymous", title = "{Digital Library of Mathematical Functions}", howpublished = "NIST Web site", year = "2010", bibdate = "Sun Nov 05 17:05:38 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", URL = "https://www.nist.gov/mathematics-statistics/digital-library-mathematical-functions", acknowledgement = ack-nhfb, subject-dates = "Frank William John Olver (15 December 1924--23 April 2013)", } @Misc{Anonymous:2010:PGHa, author = "Anonymous", title = "Portrait Gallery 2010 Honorees", howpublished = "NIST Web site", day = "4", month = oct, year = "2010", bibdate = "Sun Nov 05 17:11:20 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", note = "Frank W. J. Olver (ITL): Years at NBS/NIST:1961--1986. For prolific contributions in applied mathematics, including those to the NBS Handbook of Mathematical Functions (1964) and its successor, the NIST Digital Library of Mathematical Functions (2010).", URL = "https://www.nist.gov/director/portrait-gallery-2010-honorees", acknowledgement = ack-nhfb, subject-dates = "Frank William John Olver (15 December 1924--23 April 2013)", } @Misc{Anonymous:2010:PGHb, author = "Anonymous", title = "Portrait Gallery 2011 Honorees", howpublished = "NIST Web site", day = "26", month = oct, year = "2011", bibdate = "Sun Nov 05 17:11:20 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", note = "Frank W. J. Olver (ITL): Years at NBS/NIST: 1961--1986: For prolific contributions in applied mathematics, including those to the NBS Handbook of Mathematical Functions (1964) and its successor, the NIST Digital Library of Mathematical Functions (2010).", URL = "https://www.nist.gov/director/portrait-gallery-honorees-2011", acknowledgement = ack-nhfb, subject-dates = "Frank William John Olver (15 December 1924--23 April 2013)", } @Misc{Anonymous:2011:ICS, author = "Anonymous", title = "International Conference on Special Functions in the 21st Century: Theory and Applications", howpublished = "NIST Web site", day = "6--8", month = apr, year = "2011", bibdate = "Sun Nov 05 17:10:01 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", note = "This conference is dedicated to Professor Olver in light of his seminal contributions to the advancement of special functions, especially in the area of asymptotic analysis and as Mathematics Editor of the DLMF", URL = "https://www.nist.gov/news-events/events/2011/04/international-conference-special-functions-21st-century-theory-and", acknowledgement = ack-nhfb, subject-dates = "Frank William John Olver (15 December 1924--23 April 2013)", } @Misc{Anonymous:2011:NDL, author = "Anonymous", title = "{NIST Digital Library of Mathematical Functions} Receives {IT} Award", howpublished = "NIST Web site", day = "25", month = oct, year = "2011", bibdate = "Sun Nov 05 13:17:06 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", URL = "https://www.nist.gov/news-events/news/2011/10/nist-digital-library-mathematical-functions-receives-it-award", acknowledgement = ack-nhfb, subject-dates = "Frank William John Olver (15 December 1924--23 April 2013)", } @Misc{Anonymous:2011:NIS, author = "Anonymous", title = "{National Institute of Standards and Technology} Recognizes Staff", howpublished = "NIST Web site", day = "7", month = dec, year = "2011", bibdate = "Sun Nov 05 13:13:17 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", URL = "https://www.nist.gov/news-events/news/2011/12/national-institute-standards-and-technology-recognizes-staff", acknowledgement = ack-nhfb, remark = "From the site: ``Gold Medal: \ldots{} Brian Antonishek, Ronald Boisvert, Charles Clark, Daniel Lozier, Marjorie McClain, Bruce Miller, Frank Olver, Bonita Saunders, and Abdou Youssef --- `For development of the NIST Digital Library of Mathematical Functions, an unprecedented reference on the special functions of applied mathematics'.", subject-dates = "Frank William John Olver (15 December 1924--23 April 2013)", } @Misc{Anonymous:2011:NRS, author = "Anonymous", title = "{NIST} Releases Successor to Venerable {{\booktitle{Handbook of Math Functions}}}", howpublished = "NIST Web site", day = "11", month = may, year = "2011", bibdate = "Sun Nov 05 14:42:55 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", URL = "https://www.nist.gov/news-events/news/2010/05/nist-releases-successor-venerable-handbook-math-functions", acknowledgement = ack-nhfb, subject-dates = "Frank William John Olver (15 December 1924--23 April 2013)", } @Article{Crowder:2011:SBRa, author = "Martin Crowder", title = "Short Book Review: {{\booktitle{NIST Handbook of Mathematical Functions}} edited by Frank W. J. Olver, Daniel W. Lozier, Ronald F. Boisvert, Charles W. Clark}", journal = j-INT-STAT-REV, volume = "79", number = "1", pages = "131--132", month = apr, year = "2011", CODEN = "ISTRDP", DOI = "https://doi.org/10.1111/j.1751-5823.2011.00134_18.x; https://doi.org/10.2307/41306184", ISSN = "0306-7734 (print), 1751-5823 (electronic)", ISSN-L = "0306-7734", bibdate = "Wed Jun 18 06:26:15 MDT 2014", bibsource = "http://www.jstor.org/stable/i40059031; https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib; https://www.math.utah.edu/pub/tex/bib/intstatrev.bib", URL = "http://www.jstor.org/stable/41306184", acknowledgement = ack-nhfb, fjournal = "International Statistical Review = Revue Internationale de Statistique", journal-URL = "http://www.jstor.org/journals/03067734.html; https://onlinelibrary.wiley.com/loi/17515823", onlinedate = "3 Apr 2011", subject-dates = "Frank William John Olver (15 December 1924--23 April 2013)", } @Article{Shang:2011:BTA, author = "Yadong Shang and Yong Huang and Wenjun Yuan", title = "{B{\"a}cklund} transformations and abundant exact explicit solutions of the {Sharma--Tasso--Olver} equation", journal = j-APPL-MATH-COMP, volume = "217", number = "17", pages = "7172--7183", day = "1", month = may, year = "2011", CODEN = "AMHCBQ", DOI = "https://doi.org/10.1016/j.amc.2011.01.115", ISSN = "0096-3003 (print), 1873-5649 (electronic)", ISSN-L = "0096-3003", bibdate = "Wed Mar 30 09:13:29 MDT 2011", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib; https://www.math.utah.edu/pub/tex/bib/applmathcomput2010.bib", URL = "http://www.sciencedirect.com/science/article/pii/S0096300311001573", acknowledgement = ack-nhfb, fjournal = "Applied Mathematics and Computation", journal-URL = "http://www.sciencedirect.com/science/journal/00963003/", subject-dates = "Frank William John Olver (15 December 1924--23 April 2013)", } @Article{Thompson:2011:NHM, author = "Ian Thompson", title = "{{\booktitle{NIST Handbook of Mathematical Functions}}, edited by Frank W. J. Olver, Daniel W. Lozier, Ronald F. Boisvert, Charles W. Clark}", journal = j-CONTEMP-PHYS, volume = "52", number = "5", pages = "497--498", year = "2011", CODEN = "CTPHAF", DOI = "https://doi.org/10.1080/00107514.2011.582161", ISSN = "0010-7514 (print), 1366-5812 (electronic)", ISSN-L = "0010-7514", bibdate = "Thu Feb 18 20:08:43 MST 2016", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib; https://www.math.utah.edu/pub/tex/bib/contempphys.bib", acknowledgement = ack-nhfb, ajournal = "Contemp. Phys.", fjournal = "Contemporary Physics", journal-URL = "http://www.tandfonline.com/loi/tcph20", subject-dates = "Frank William John Olver (15 December 1924--23 April 2013)", } @Article{Zayed:2011:NMS, author = "Elsayed M. E. Zayed", title = "A note on the modified simple equation method applied to {Sharma--Tasso--Olver} equation", journal = j-APPL-MATH-COMP, volume = "218", number = "7", pages = "3962--3964", day = "1", month = dec, year = "2011", CODEN = "AMHCBQ", DOI = "https://doi.org/10.1016/j.amc.2011.09.025", ISSN = "0096-3003 (print), 1873-5649 (electronic)", ISSN-L = "0096-3003", bibdate = "Tue Oct 25 09:03:13 MDT 2011", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib; https://www.math.utah.edu/pub/tex/bib/applmathcomput2010.bib", URL = "http://www.sciencedirect.com/science/article/pii/S009630031101191X", acknowledgement = ack-nhfb, fjournal = "Applied Mathematics and Computation", journal-URL = "http://www.sciencedirect.com/science/journal/00963003/", subject-dates = "Frank William John Olver (15 December 1924--23 April 2013)", } @Article{Yao:2012:FST, author = "Biwei Yao and Senyue Lou", title = "Fermionization of {Sharma--Tasso--Olver} system", journal = "Chinese Annals of Mathematics, Series B", volume = "33", number = "2", pages = "271--280", month = mar, year = "2012", DOI = "https://doi.org/10.1007/s11401-012-0698-z", bibdate = "Sun Nov 5 08:44:39 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", acknowledgement = ack-nhfb, journal-URL = "https://www.springer.com/journal/11401", subject-dates = "Frank William John Olver (15 December 1924--23 April 2013)", } @Misc{Anonymous:2013:FOO, author = "Anonymous", title = "{Frank Olver} Obituary", howpublished = "Web site", day = "26", month = apr, year = "2013", bibdate = "Sun Nov 05 09:53:33 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", URL = "https://www.legacy.com/us/obituaries/washingtonpost/name/frank-olver-obituary?id=6008137", acknowledgement = ack-nhfb, subject-dates = "Frank William John Olver (15 December 1924--23 April 2013)", } @Article{Anonymous:2013:FWJ, author = "Anonymous", title = "{Frank W. J. Olver}, mathematician", journal = j-WASHINGTON-POST, volume = "??", number = "??", pages = "??--??", day = "30", month = apr, year = "2013", ISSN = "0190-8286", bibdate = "Sat Nov 04 17:44:31 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", URL = "https://www.washingtonpost.com/local/obituaries/frank-wj-olver-mathematician/2013/04/30/51080646-b1b0-11e2-baf7-5bc2a9dc6f44_story.html", acknowledgement = ack-nhfb, fjournal = "Washington Post", journal-URL = "http://www.washingtonpost.com/", subject-dates = "Frank William John Olver (15 December 1924--23 April 2013)", } @Misc{Bailey:2013:FWJ, author = "David H. Bailey and Jonathan M. Borwein", title = "{Frank W. J. Olver} (1924--2013)", howpublished = "Math Drudge", day = "12", month = may, year = "2013", bibdate = "Tue May 15 15:05:08 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib; https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", URL = "https://experimentalmath.info/blog/2013/05/frank-w-j-olver-1924-2013/", acknowledgement = ack-nhfb, ORCID-numbers = "Bailey, David H./0000-0002-7574-8342; Borwein, Jonathan/0000-0002-1263-0646", subject-dates = "Frank William John Olver (15 December 1924--23 April 2013)", } @Article{Jafari:2013:FSE, author = "Hossein Jafari and Haleh Tajadodi and Dumitru Baleanu and Abdulrahim Al-Zahrani and Yahia Alhamed and Adnan Zahid", title = "Fractional sub-equation method for the fractional generalized reaction {Duffing} model and nonlinear fractional {Sharma--Tasso--Olver} equation", journal = "Open Physics", volume = "11", number = "10", month = jan, year = "2013", CODEN = "OPPHBI", DOI = "https://doi.org/10.2478/s11534-013-0203-7", ISSN = "2391-5471", bibdate = "Sun Nov 5 08:51:39 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", acknowledgement = ack-nhfb, fjournal = "Open Physics", journal-URL = "https://www.degruyter.com/journal/key/phys/html", subject-dates = "Frank William John Olver (15 December 1924--23 April 2013)", } @Misc{Wong:2013:OFW, author = "Roderick Wong", title = "Obituaries: {Frank W. J. Olver}, 1924--2013", howpublished = "SIAM News Web site", year = "2013", bibdate = "Sat Nov 04 17:42:36 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", URL = "https://sinews.siam.org/About-the-Author/obituaries-frank-wj-olver-1924-2013", acknowledgement = ack-nhfb, subject-dates = "Frank William John Olver (15 December 1924--23 April 2013)", } @Article{Baricz:2014:RCN, author = "{\'A}rp{\'a}d Baricz and R{\'o}bert Sz{\'a}sz", title = "The radius of convexity of normalized {Bessel} functions of the first kind", journal = j-ANAL-APPL, volume = "12", number = "5", pages = "485--509", month = aug, year = "2014", DOI = "https://doi.org/10.1142/s0219530514500316", ISSN = "0219-5305 (print), 1793-6861 (electronic)", ISSN-L = "0219-5305", bibdate = "Thu Nov 16 07:32:34 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", note = "Special Issue: Dedicated to the Memory of Frank Olver (Part II).", acknowledgement = ack-nhfb, ajournal = "Anal. Appl. (Singapore)", fjournal = "Analysis and Applications (Singapore)", journal-URL = "https://www.worldscientific.com/worldscinet/aa", subject-dates = "Frank William John Olver (15 December 1924--23 April 2013)", } @Article{Berry:2014:TFO, author = "Michael Berry", title = "A tribute to {Frank Olver} (1924--2013)", journal = j-ANAL-APPL, volume = "12", number = "4", pages = "ix--x", month = jun, year = "2014", DOI = "https://doi.org/10.1142/s0219530514020011", ISSN = "0219-5305 (print), 1793-6861 (electronic)", ISSN-L = "0219-5305", bibdate = "Thu Nov 16 07:32:34 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", note = "Special Issue: Dedicated to the Memory of Frank Olver (Part I).", acknowledgement = ack-nhfb, ajournal = "Anal. Appl. (Singapore)", fjournal = "Analysis and Applications (Singapore)", journal-URL = "https://www.worldscientific.com/worldscinet/aa", subject-dates = "Frank William John Olver (15 December 1924--23 April 2013)", } @Article{Cohl:2014:EFS, author = "Howard S. Cohl and Hans Volkmer", title = "Expansions for a fundamental solution of {Laplace}'s equation on {$ \mathbb {R}^3 $} in 5-cyclidic harmonics", journal = j-ANAL-APPL, volume = "12", number = "6", pages = "613--633", month = oct, year = "2014", DOI = "https://doi.org/10.1142/s0219530514500407", ISSN = "0219-5305 (print), 1793-6861 (electronic)", ISSN-L = "0219-5305", bibdate = "Thu Nov 16 07:32:34 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", note = "Special Issue: Dedicated to the Memory of Frank Olver (Part III).", acknowledgement = ack-nhfb, ajournal = "Anal. Appl. (Singapore)", fjournal = "Analysis and Applications (Singapore)", journal-URL = "https://www.worldscientific.com/worldscinet/aa", subject-dates = "Frank William John Olver (15 December 1924--23 April 2013)", } @Article{Dominici:2014:ZDP, author = "Diego Dominici and Walter {Van Assche}", title = "Zero distribution of polynomials satisfying a differential-difference equation", journal = j-ANAL-APPL, volume = "12", number = "6", pages = "635--666", month = oct, year = "2014", DOI = "https://doi.org/10.1142/s0219530514500390", ISSN = "0219-5305 (print), 1793-6861 (electronic)", ISSN-L = "0219-5305", bibdate = "Thu Nov 16 07:32:34 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", note = "Special Issue: Dedicated to the Memory of Frank Olver (Part III).", acknowledgement = ack-nhfb, ajournal = "Anal. Appl. (Singapore)", fjournal = "Analysis and Applications (Singapore)", journal-URL = "https://www.worldscientific.com/worldscinet/aa", subject-dates = "Frank William John Olver (15 December 1924--23 April 2013)", } @Article{Driver:2014:ZPU, author = "Kathy Driver and Martin E. Muldoon", title = "Zeros of pseudo-ultraspherical polynomials", journal = j-ANAL-APPL, volume = "12", number = "5", pages = "563--581", month = aug, year = "2014", DOI = "https://doi.org/10.1142/s0219530514500365", ISSN = "0219-5305 (print), 1793-6861 (electronic)", ISSN-L = "0219-5305", bibdate = "Thu Nov 16 07:32:34 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", note = "Special Issue: Dedicated to the Memory of Frank Olver (Part II).", acknowledgement = ack-nhfb, ajournal = "Anal. Appl. (Singapore)", fjournal = "Analysis and Applications (Singapore)", journal-URL = "https://www.worldscientific.com/worldscinet/aa", subject-dates = "Frank William John Olver (15 December 1924--23 April 2013)", } @Article{Dunster:2014:OEB, author = "T. M. Dunster", title = "{Olver}'s error bound methods applied to linear ordinary differential equations having a simple turning point", journal = j-ANAL-APPL, volume = "12", number = "4", pages = "385--402", month = jun, year = "2014", DOI = "https://doi.org/10.1142/s0219530514500298", ISSN = "0219-5305 (print), 1793-6861 (electronic)", ISSN-L = "0219-5305", bibdate = "Thu Nov 16 07:32:34 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", note = "Special Issue: Dedicated to the Memory of Frank Olver (Part I).", acknowledgement = ack-nhfb, ajournal = "Anal. Appl. (Singapore)", fjournal = "Analysis and Applications (Singapore)", journal-URL = "https://www.worldscientific.com/worldscinet/aa", subject-dates = "Frank William John Olver (15 December 1924--23 April 2013)", } @Article{Ferreira:2014:CAE, author = "Chelo Ferreira and Jos{\'e} L. L{\'o}pez and Ester P{\'e}rez Sinus{\'\i}a", title = "Convergent and asymptotic expansions of solutions of second-order differential equations with a large parameter", journal = j-ANAL-APPL, volume = "12", number = "5", pages = "523--536", month = aug, year = "2014", DOI = "https://doi.org/10.1142/s0219530514500328", ISSN = "0219-5305 (print), 1793-6861 (electronic)", ISSN-L = "0219-5305", bibdate = "Thu Nov 16 07:32:34 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", note = "Special Issue: Dedicated to the Memory of Frank Olver (Part II).", acknowledgement = ack-nhfb, ajournal = "Anal. Appl. (Singapore)", fjournal = "Analysis and Applications (Singapore)", journal-URL = "https://www.worldscientific.com/worldscinet/aa", subject-dates = "Frank William John Olver (15 December 1924--23 April 2013)", } @Article{Gawronski:2014:CSB, author = "Wolfgang Gawronski and Thorsten Neuschel", title = "On a conjecture on sparse binomial-type polynomials by {Brown}, {Dilcher} and {Manna}", journal = j-ANAL-APPL, volume = "12", number = "5", pages = "511--522", month = aug, year = "2014", DOI = "https://doi.org/10.1142/s0219530514500304", ISSN = "0219-5305 (print), 1793-6861 (electronic)", ISSN-L = "0219-5305", bibdate = "Thu Nov 16 07:32:34 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", note = "Special Issue: Dedicated to the Memory of Frank Olver (Part II).", acknowledgement = ack-nhfb, ajournal = "Anal. Appl. (Singapore)", fjournal = "Analysis and Applications (Singapore)", journal-URL = "https://www.worldscientific.com/worldscinet/aa", subject-dates = "Frank William John Olver (15 December 1924--23 April 2013)", } @Article{Gil:2014:CZA, author = "Amparo Gil and Javier Segura", title = "On the complex zeros of {Airy} and {Bessel} functions and those of their derivatives", journal = j-ANAL-APPL, volume = "12", number = "5", pages = "537--561", month = aug, year = "2014", DOI = "https://doi.org/10.1142/s0219530514500341", ISSN = "0219-5305 (print), 1793-6861 (electronic)", ISSN-L = "0219-5305", bibdate = "Thu Nov 16 07:32:34 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib; https://www.math.utah.edu/pub/tex/bib/elefunt.bib", note = "Special Issue: Dedicated to the Memory of Frank Olver (Part II).", acknowledgement = ack-nhfb, ajournal = "Anal. Appl. (Singapore)", fjournal = "Analysis and Applications (Singapore)", journal-URL = "https://www.worldscientific.com/worldscinet/aa", subject-dates = "Frank William John Olver (15 December 1924--23 April 2013)", } @Article{Kalnins:2014:QAC, author = "Ernest G. Kalnins and W. Miller", title = "Quadratic algebra contractions and second-order superintegrable systems", journal = j-ANAL-APPL, volume = "12", number = "5", pages = "583--612", month = aug, year = "2014", DOI = "https://doi.org/10.1142/s0219530514500377", ISSN = "0219-5305 (print), 1793-6861 (electronic)", ISSN-L = "0219-5305", bibdate = "Thu Nov 16 07:32:34 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", note = "Special Issue: Dedicated to the Memory of Frank Olver (Part II).", acknowledgement = ack-nhfb, ajournal = "Anal. Appl. (Singapore)", fjournal = "Analysis and Applications (Singapore)", journal-URL = "https://www.worldscientific.com/worldscinet/aa", subject-dates = "Frank William John Olver (15 December 1924--23 April 2013)", } @Article{Khwaja:2014:UAE, author = "S. Farid Khwaja and A. B. Olde Daalhuis", title = "Uniform asymptotic expansions for hypergeometric functions with large parameters {IV}", journal = j-ANAL-APPL, volume = "12", number = "6", pages = "667--710", month = oct, year = "2014", DOI = "https://doi.org/10.1142/s0219530514500389", ISSN = "0219-5305 (print), 1793-6861 (electronic)", ISSN-L = "0219-5305", bibdate = "Thu Nov 16 07:32:34 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", note = "Special Issue: Dedicated to the Memory of Frank Olver (Part III).", acknowledgement = ack-nhfb, ajournal = "Anal. Appl. (Singapore)", fjournal = "Analysis and Applications (Singapore)", journal-URL = "https://www.worldscientific.com/worldscinet/aa", subject-dates = "Frank William John Olver (15 December 1924--23 April 2013)", } @Article{Koornwinder:2014:ETF, author = "Tom H. Koornwinder", title = "On the equivalence of two fundamental theta identities", journal = j-ANAL-APPL, volume = "12", number = "6", pages = "711--725", month = oct, year = "2014", DOI = "https://doi.org/10.1142/s0219530514500559", ISSN = "0219-5305 (print), 1793-6861 (electronic)", ISSN-L = "0219-5305", bibdate = "Thu Nov 16 07:32:34 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", note = "Special Issue: Dedicated to the Memory of Frank Olver (Part III).", acknowledgement = ack-nhfb, ajournal = "Anal. Appl. (Singapore)", fjournal = "Analysis and Applications (Singapore)", journal-URL = "https://www.worldscientific.com/worldscinet/aa", subject-dates = "Frank William John Olver (15 December 1924--23 April 2013)", } @Article{Lin:2014:GAS, author = "Y. Lin and R. Wong", title = "Global asymptotics of the {Szeg{\H{o}}--Askey} polynomials", journal = j-ANAL-APPL, volume = "12", number = "6", pages = "727--746", month = oct, year = "2014", DOI = "https://doi.org/10.1142/s0219530514500547", ISSN = "0219-5305 (print), 1793-6861 (electronic)", ISSN-L = "0219-5305", bibdate = "Thu Nov 16 07:32:34 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", note = "Special Issue: Dedicated to the Memory of Frank Olver (Part III).", acknowledgement = ack-nhfb, ajournal = "Anal. Appl. (Singapore)", fjournal = "Analysis and Applications (Singapore)", journal-URL = "https://www.worldscientific.com/worldscinet/aa", subject-dates = "Frank William John Olver (15 December 1924--23 April 2013)", } @Article{Liu:2014:BSI, author = "Yue Liu and Peter J. Olver and Changzheng Qu and Shuanghu Zhang", title = "On the blow-up of solutions to the integrable modified {Camassa--Holm} equation", journal = j-ANAL-APPL, volume = "12", number = "4", pages = "355--368", month = jun, year = "2014", DOI = "https://doi.org/10.1142/s0219530514500274", ISSN = "0219-5305 (print), 1793-6861 (electronic)", ISSN-L = "0219-5305", bibdate = "Thu Nov 16 07:32:34 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", note = "Special Issue: Dedicated to the Memory of Frank Olver (Part I).", acknowledgement = ack-nhfb, ajournal = "Anal. Appl. (Singapore)", fjournal = "Analysis and Applications (Singapore)", journal-URL = "https://www.worldscientific.com/worldscinet/aa", subject-dates = "Frank William John Olver (15 December 1924--23 April 2013)", } @Article{Nemes:2014:RPL, author = "Gerg Nemes", title = "The resurgence properties of the large-order asymptotics of the {Hankel} and {Bessel} functions", journal = j-ANAL-APPL, volume = "12", number = "4", pages = "403--462", month = jun, year = "2014", DOI = "https://doi.org/10.1142/s021953051450033x", ISSN = "0219-5305 (print), 1793-6861 (electronic)", ISSN-L = "0219-5305", bibdate = "Thu Nov 16 07:32:34 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", note = "Special Issue: Dedicated to the Memory of Frank Olver (Part I).", acknowledgement = ack-nhfb, ajournal = "Anal. Appl. (Singapore)", fjournal = "Analysis and Applications (Singapore)", journal-URL = "https://www.worldscientific.com/worldscinet/aa", subject-dates = "Frank William John Olver (15 December 1924--23 April 2013)", } @Article{Olver:2014:CVF, author = "Sheehan Olver", title = "Change of variable formulas for regularizing slowly decaying and oscillatory {Cauchy} and {Hilbert} transforms", journal = j-ANAL-APPL, volume = "12", number = "4", pages = "369--384", month = jun, year = "2014", DOI = "https://doi.org/10.1142/s0219530514500353", ISSN = "0219-5305 (print), 1793-6861 (electronic)", ISSN-L = "0219-5305", bibdate = "Thu Nov 16 07:32:34 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", note = "Special Issue: Dedicated to the Memory of Frank Olver (Part I).", acknowledgement = ack-nhfb, ajournal = "Anal. Appl. (Singapore)", fjournal = "Analysis and Applications (Singapore)", journal-URL = "https://www.worldscientific.com/worldscinet/aa", subject-dates = "Frank William John Olver (15 December 1924--23 April 2013)", } @Article{Temme:2014:Pa, author = "Nico Temme and Roderick Wong", title = "Preface", journal = j-ANAL-APPL, volume = "12", number = "4", pages = "vii--viii", month = jun, year = "2014", DOI = "https://doi.org/10.1142/s0219530514020023", ISSN = "0219-5305 (print), 1793-6861 (electronic)", ISSN-L = "0219-5305", bibdate = "Thu Nov 16 07:32:34 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", note = "Special Issue: Dedicated to the Memory of Frank Olver (Part I).", acknowledgement = ack-nhfb, ajournal = "Anal. Appl. (Singapore)", fjournal = "Analysis and Applications (Singapore)", journal-URL = "https://www.worldscientific.com/worldscinet/aa", subject-dates = "Frank William John Olver (15 December 1924--23 April 2013)", } @Article{Temme:2014:Pb, author = "Nico Temme and Roderick Wong", title = "Preface", journal = j-ANAL-APPL, volume = "12", number = "5", pages = "vii--vii", month = aug, year = "2014", DOI = "https://doi.org/10.1142/s0219530514020035", ISSN = "0219-5305 (print), 1793-6861 (electronic)", ISSN-L = "0219-5305", bibdate = "Thu Nov 16 07:32:34 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", note = "Special Issue: Dedicated to the Memory of Frank Olver (Part II).", acknowledgement = ack-nhfb, ajournal = "Anal. Appl. (Singapore)", fjournal = "Analysis and Applications (Singapore)", journal-URL = "https://www.worldscientific.com/worldscinet/aa", subject-dates = "Frank William John Olver (15 December 1924--23 April 2013)", } @Article{Temme:2014:Pc, author = "Nico Temme and Roderick Wong", title = "Preface", journal = j-ANAL-APPL, volume = "12", number = "6", pages = "vii--viii", month = oct, year = "2014", DOI = "https://doi.org/10.1142/s0219530514020047", ISSN = "0219-5305 (print), 1793-6861 (electronic)", ISSN-L = "0219-5305", bibdate = "Thu Nov 16 07:32:34 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", note = "Special Issue: Dedicated to the Memory of Frank Olver (Part III).", acknowledgement = ack-nhfb, ajournal = "Anal. Appl. (Singapore)", fjournal = "Analysis and Applications (Singapore)", journal-URL = "https://www.worldscientific.com/worldscinet/aa", subject-dates = "Frank William John Olver (15 December 1924--23 April 2013)", } @Article{Wong:2014:ALR, author = "R. Wong", title = "Asymptotics of linear recurrences", journal = j-ANAL-APPL, volume = "12", number = "4", pages = "463--484", month = jun, year = "2014", DOI = "https://doi.org/10.1142/s0219530514500286", ISSN = "0219-5305 (print), 1793-6861 (electronic)", ISSN-L = "0219-5305", bibdate = "Thu Nov 16 07:32:34 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", note = "Special Issue: Dedicated to the Memory of Frank Olver (Part I).", acknowledgement = ack-nhfb, ajournal = "Anal. Appl. (Singapore)", fjournal = "Analysis and Applications (Singapore)", journal-URL = "https://www.worldscientific.com/worldscinet/aa", subject-dates = "Frank William John Olver (15 December 1924--23 April 2013)", } @Article{Wong:2014:MFW, author = "R. Wong", title = "In memoriam {Frank W. J. Olver} (1924--2013)", journal = j-ANAL-APPL, volume = "12", number = "4", pages = "xi--xxvi", month = jun, year = "2014", DOI = "https://doi.org/10.1142/s0219530514770016", ISSN = "0219-5305 (print), 1793-6861 (electronic)", ISSN-L = "0219-5305", bibdate = "Thu Nov 16 07:32:34 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", note = "Special Issue: Dedicated to the Memory of Frank Olver (Part I).", acknowledgement = ack-nhfb, ajournal = "Anal. Appl. (Singapore)", fjournal = "Analysis and Applications (Singapore)", journal-URL = "https://www.worldscientific.com/worldscinet/aa", subject-dates = "Frank William John Olver (15 December 1924--23 April 2013)", } @Article{Yue:2014:AGS, author = "Chao Yue and Tiecheng Xia", title = "Algebro-geometric solutions for the complex {Sharma--Tasso--Olver} hierarchy", journal = j-J-MATH-PHYS, volume = "55", number = "8", pages = "083511", month = aug, year = "2014", CODEN = "JMAPAQ", DOI = "https://doi.org/10.1063/1.4891605", ISSN = "0022-2488 (print), 1089-7658 (electronic), 1527-2427", ISSN-L = "0022-2488", bibdate = "Tue Aug 4 11:34:28 2015", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib; https://www.math.utah.edu/pub/tex/bib/jmathphys2010.bib", acknowledgement = ack-nhfb, fjournal = "Journal of Mathematical Physics", journal-URL = "http://jmp.aip.org/", subject-dates = "Frank William John Olver (15 December 1924--23 April 2013)", } @Article{S:2015:NFS, author = "Cesar A. G{\'o}mez S.", title = "A nonlinear fractional {Sharma--Tasso--Olver} equation: New exact solutions", journal = j-APPL-MATH-COMP, volume = "266", number = "??", pages = "385--389", day = "1", month = sep, year = "2015", CODEN = "AMHCBQ", DOI = "https://doi.org/10.1016/j.amc.2015.05.074", ISSN = "0096-3003 (print), 1873-5649 (electronic)", ISSN-L = "0096-3003", bibdate = "Sat Jul 25 08:08:56 MDT 2015", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib; https://www.math.utah.edu/pub/tex/bib/applmathcomput2015.bib", URL = "http://www.sciencedirect.com/science/article/pii/S0096300315006980", acknowledgement = ack-nhfb, fjournal = "Applied Mathematics and Computation", journal-URL = "http://www.sciencedirect.com/science/journal/00963003/", subject-dates = "Frank William John Olver (15 December 1924--23 April 2013)", } @Article{Zayed:2016:MSE, author = "Elsayed M. E. Zayed and Yaser A. Amer and Abdul-Ghani Al-Nowehy", title = "The modified simple equation method and the multiple exp-function method for solving nonlinear fractional {Sharma--Tasso--Olver} equation", journal = "Acta Mathematicae Applicatae Sinica, English Series", volume = "32", number = "4", pages = "793--812", month = oct, year = "2016", DOI = "https://doi.org/10.1007/s10255-016-0590-9", ISSN = "0168-9673 (print), 1618-3932 (electronic)", ISSN-L = "0168-9673", bibdate = "Sun Nov 5 08:50:05 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", acknowledgement = ack-nhfb, journal-URL = "https://www.springer.com/journal/10255", subject-dates = "Frank William John Olver (15 December 1924--23 April 2013)", } @Book{Hayes:2017:FOM, author = "Brian Hayes", title = "Foolproof, and Other Mathematical Meditations", publisher = pub-MIT, address = pub-MIT:adr, pages = "x + 234", year = "2017", ISBN = "0-262-03686-X", ISBN-13 = "978-0-262-03686-3", LCCN = "QA93 .H3586 2017", bibdate = "Sat Nov 04 22:39:52 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib; https://www.math.utah.edu/pub/tex/bib/pi.bib", acknowledgement = ack-nhfb, keywords = "level-index arithmetic; pi computations; William Shanks", subject-dates = "Frank William John Olver (15 December 1924--23 April 2013)", tableofcontents = "Preface / ix \\ 1 Young Gauss Sums It Up: A schoolboy's triumph over a harsh teacher becomes the stuff of legend / 1 \\ 2 Outside the Law of Averages: Not just above average but beyond the reach of all averages / 19 \\ 3 How to Avoid Yourself: Taking a walk without crossing your own path leads into curious byways / 33 \\ 4 The Spectrum of Riemannium: An unexpected connection between nuclear physics and prime numbers / 53 \\ 5 Unwed Numbers: In Sudoku ``No math is required,'' but there's plenty behind the scenes / 71 \\ 6 Crinkly Curves: A scribbled line grows so twisty that it touches every point on a plane / 85 \\ 7 Wagering with Zeno: You can't win, you can't lose, you can't tie, and the game never ends / 99 \\ 8 The Higher Arithmetic: New tools for doing arithmetic with enormous numbers / 113 \\ 9 First Links in the Markov Chain: A crucial innovation in probability began with an analysis of poetry / 127 10 Playing Ball in the $n$th Dimension: Spheres in a space of many dimensions seem to shrink away to nothing / 141 \\ 11 Quasirandom Ramblings: Somewhere between the chaotic and the orderly lies the quasirandom / 155 \\ 12 Pencil, Paper, and Pi: Forensic mathematics investigates a heroic computation that went awry / 171 \\ 13 Foolproof: Is proof a magic wand that works only in the hands of wizards? / 187 \\ Sources and Resources / 205 \\ References / 209 \\ Index / 225", } @Article{Ali:2018:ESC, author = "Muhammad Nasir Ali and Syed Muhammad Husnine and Asit Saha and Samir Kumar Bhowmik and Sharanjeet Dhawan and Turgut Ak", title = "Exact solutions, conservation laws, bifurcation of nonlinear and supernonlinear traveling waves for {Sharma--Tasso--Olver} equation", journal = j-NONLINEAR-DYN, volume = "94", number = "3", pages = "1791--1801", month = jul, year = "2018", CODEN = "NODYES", DOI = "https://doi.org/10.1007/s11071-018-4457-x", ISSN = "0924-090X (print), 1573-269X (electronic)", ISSN-L = "0924-090X", bibdate = "Sun Nov 5 08:46:14 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", acknowledgement = ack-nhfb, fjournal = "Nonlinear Dynamics", journal-URL = "http://link.springer.com/journal/11071", subject-dates = "Frank William John Olver (15 December 1924--23 April 2013)", } @InCollection{Kaya:2020:CEN, author = "Do{\u{g}}an Kaya and As{\i}f Yoku{\c{s}} and U{\u{g}}ur Demiro{\u{g}}lu", booktitle = "Nonlinear Systems and Complexity", title = "Comparison of Exact and Numerical Solutions for the {Sharma--Tasso--Olver} Equation", publisher = pub-SV, address = pub-SV:adr, pages = "53--65", year = "2020", DOI = "https://doi.org/10.1007/978-3-030-37141-8_3", bibdate = "Sun Nov 5 08:37:58 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", acknowledgement = ack-nhfb, subject-dates = "Frank William John Olver (15 December 1924--23 April 2013)", } @Article{Aljoudi:2021:ESF, author = "Shorog Aljoudi", title = "Exact solutions of the fractional {Sharma--Tasso--Olver} equation and the fractional {Bogoyavlenskii}'s breaking soliton equations", journal = j-APPL-MATH-COMP, volume = "405", number = "??", pages = "Article 126237", day = "15", month = sep, year = "2021", CODEN = "AMHCBQ", DOI = "https://doi.org/10.1016/j.amc.2021.126237", ISSN = "0096-3003 (print), 1873-5649 (electronic)", ISSN-L = "0096-3003", bibdate = "Wed Jun 9 09:19:04 MDT 2021", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib; https://www.math.utah.edu/pub/tex/bib/applmathcomput2020.bib", URL = "http://www.sciencedirect.com/science/article/pii/S0096300321003271", acknowledgement = ack-nhfb, fjournal = "Applied Mathematics and Computation", journal-URL = "http://www.sciencedirect.com/science/journal/00963003", subject-dates = "Frank William John Olver (15 December 1924--23 April 2013)", } @Article{Feng:2021:EBV, author = "Y. Y. Feng and S. D. Bilige and R. F. Zhang", title = "Evolutionary behavior of various wave solutions of the $ (2 + 1)$-dimensional {Sharma--Tasso--Olver} equation", journal = "Indian Journal of Physics", volume = "96", number = "7", pages = "2107--2114", month = jul, year = "2021", CODEN = "IJPNCV", DOI = "https://doi.org/10.1007/s12648-021-02154-6", ISSN = "0973-1458 (print), 0974-9845 (electronic)", bibdate = "Sun Nov 5 08:40:33 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", acknowledgement = ack-nhfb, ajournal = "Indian J. Phys.", journal-URL = "https://www.springer.com/journal/12648", subject-dates = "Frank William John Olver (15 December 1924--23 April 2013)", } @Article{Chen:2022:PSN, author = "Aiyong Chen and Hao Yu and Xiaokai He", title = "2-Peakon Solutions and Non-uniqueness of the {Fokas--Olver--Rosenau--Qiao} Equation with Higher-Order Nonlinearity", journal = "Bulletin of the Malaysian Mathematical Sciences Society", volume = "45", number = "6", pages = "3401--3422", month = sep, year = "2022", DOI = "https://doi.org/10.1007/s40840-022-01386-x", ISSN = "0126-6705 (print), 2180-4206 (electronic)", ISSN-L = "0126-6705", bibdate = "Sun Nov 5 08:47:37 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", acknowledgement = ack-nhfb, journal-URL = "https://www.springer.com/journal/40840", subject-dates = "Frank William John Olver (15 December 1924--23 April 2013)", } @Article{Belafhal:2015:TIG, author = "Abdelmajid Belafhal and Lahcen Ez-Zariy and Salima Hennani and Hamid Nebdi", title = "Theoretical Introduction and Generation Method of a Novel Nondiffracting Waves: {Olver} Beams", journal = j-OPT-PHOTONICS-J, volume = "05", number = "07", pages = "234--246", year = "2015", CODEN = "????", DOI = "https://doi.org/10.4236/opj.2015.57023", ISSN = "2160-8881 (print), 2160-889X (electronic)", ISSN-L = "2160-8881", bibdate = "Mon Nov 20 06:52:27 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", acknowledgement = ack-nhfb, ajournal = "Opt. Photonics J.", fjournal = "Optics and Photonics Journal", journal-URL = "https://www.scirp.org/journal/journalarticles.aspx?journalid=547", } @Article{Besieris:2019:NSA, author = "Ioannis M. Besieris and Amr M. Shaarawi and Bradley Davis", title = "A Note on Self-Accelerating {Olver} and {Olver--Gauss} Beams", journal = j-OPT-PHOTONICS-J, volume = "09", number = "01", pages = "1--7", year = "2019", DOI = "https://doi.org/10.4236/opj.2019.91001", ISSN = "2160-889X", ISSN-L = "2160-8881", ajournal = "Opt. Photonics J.", fjournal = "Optics and Photonics Journal", journal-URL = "https://www.scirp.org/journal/journalarticles.aspx?journalid=547", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", bibdate = "Mon Nov 20 06:52:27 2023", acknowledgement = ack-nhfb, } @Article{Wang:2023:GCC, author = "Ziyu Wang and Haobin Yang and Danlin Xu and Zehong Liang and Lingling Shui and Dongmei Deng", title = "Generation and control of the circle {Olver} beams", journal = j-OPT-EXPRESS, volume = "31", number = "4", pages = "6241", month = feb, year = "2023", CODEN = "OPEXFF", DOI = "https://doi.org/10.1364/oe.483433", ISSN = "1094-4087", ISSN-L = "1094-4087", bibdate = "Mon Nov 20 06:48:36 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", acknowledgement = ack-nhfb, fjournal = "Optics Express", journal-URL = "http://opticsexpress.org/Issue.cfm", }

%%% ==================================================================== %%% Cross-referenced entries must come last. They are sorted by year %%% and then by citation label, with ``bibsort --byyear'':

@Article{Bateman:1946:SIE, author = "Harry Bateman", title = "Some Integral Equations of Potential Theory", journal = j-J-APPL-PHYS, volume = "17", number = "2", pages = "91--102", month = feb, year = "1946", CODEN = "JAPIAU", DOI = "https://doi.org/10.1063/1.1707698", ISSN = "0021-8979 (print), 1089-7550 (electronic), 1520-8850", ISSN-L = "0021-8979", bibdate = "Fri Nov 10 13:38:23 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", note = "See corrections \cite{Olver:1946:NPH}.", URL = "https://pubs.aip.org/aip/jap/article/17/2/91/158466/Some-Integral-Equations-of-Potential-Theory", acknowledgement = ack-nhfb, author-dates = "Harry Bateman FRS (29 May 1882--21 January 1946)", fjournal = "Journal of Applied Physics", journal-URL = "http://aip.scitation.org/toc/jap/current", } @Book{Gupta:1958:TP, author = "Hansraj Gupta and C. E. Gwyther and J. C. P. Miller", booktitle = "Tables of Partitions", title = "Tables of Partitions", volume = "4", publisher = pub-CAMBRIDGE, address = pub-CAMBRIDGE:adr, pages = "xxxix + 132", year = "1958", bibdate = "Tue Nov 07 08:20:22 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", series = "Royal Society Mathematical Tables", acknowledgement = ack-nhfb, } @Book{Gupta:1960:RPQ, editor = "Hansraj Gupta and Jeffery Charles Percy Miller", booktitle = "Representations of primes by quadratic forms, displaying solutions of the {Diophantine} equation {$ k p = a^2 + D b^2 $}", title = "Representations of primes by quadratic forms, displaying solutions of the {Diophantine} equation {$ k p = a^2 + D b^2 $}", volume = "5", publisher = pub-CAMBRIDGE, address = pub-CAMBRIDGE:adr, pages = "135", year = "1960", bibdate = "Tue Nov 07 08:24:28 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", series = "Royal Society Mathematical Tables", } @Book{Haselgrove:1960:TRZ, editor = "C. B. Haselgrove", booktitle = "Tables of the {Riemann} zeta function", title = "Tables of the {Riemann} zeta function", volume = "6", publisher = pub-CAMBRIDGE, address = pub-CAMBRIDGE:adr, pages = "xxii + 80", year = "1960", LCCN = "QA351 .H3", bibdate = "Tue Nov 07 08:10:36 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", series = "Royal Society Mathematical Tables", acknowledgement = ack-nhfb, } @Book{Olver:1960:BFP, editor = "F. W. J. Olver", booktitle = "{Bessel} functions: (Part 3: Zeros and associated values)", title = "{Bessel} functions: (Part 3: Zeros and associated values)", volume = "7", publisher = pub-CAMBRIDGE, address = pub-CAMBRIDGE:adr, pages = "lx + 79", year = "1960", LCCN = "QA351 .H3", bibdate = "Tue Nov 07 08:18:14 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", series = "Royal Society Mathematical Tables", acknowledgement = ack-nhfb, author-dates = "Frank William John Olver (15 December 1924--23 April 2013)", } @Book{Young:1960:BFP, editor = "A. Young and A. Kirk", booktitle = "{Bessel} functions: (Part 4: {Kelvin} functions)", title = "{Bessel} functions: (Part 4: {Kelvin} functions)", volume = "7, 10", publisher = pub-CAMBRIDGE, address = pub-CAMBRIDGE:adr, pages = "????", year = "1960", bibdate = "Tue Nov 07 08:18:14 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", series = "Royal Society Mathematical Tables", acknowledgement = ack-nhfb, } @Book{Abramowitz:1964:HMF, editor = "Milton Abramowitz and Irene A. Stegun", key = "NBS", booktitle = "Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables", title = "Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables", volume = "55", publisher = "U. S. Department of Commerce", address = "Washington, DC, USA", pages = "xiv + 1046", year = "1964", LCCN = "QA47.A161 1972; QA 55 A16h 1972", bibdate = "Thu Jan 27 07:58:12 2000", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib; https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib; https://www.math.utah.edu/pub/bibnet/subjects/han-wri-mat-sci-2ed.bib; https://www.math.utah.edu/pub/tex/bib/elefunt.bib; https://www.math.utah.edu/pub/tex/bib/master.bib", note = "Tenth printing, with corrections (December 1972). This book is also available online at \path=http://www.convertit.com/Go/ConvertIt/Reference/AMS55.ASP= in bitmap image format.", series = "Applied mathematics series", abstract = "This book is a compendium of mathematical formulas, tables, and graphs. It contains a table of analytical integrals, differential equations, and numerical series; and includes tables of trigonometric and hyperbolic functions, tables for numerical integration, rules for differentiation and integration, and techniques for point interpolation and function approximation. Additionally, it devotes a entire section to mathematical and physical constants as fractions and powers of Pi, e, and prime numbers; and discusses statistics by presenting combinatorial analysis and probability functions.", acknowledgement = ack-nhfb, tableofcontents = "Mathematical constants / David S. Liepman \\ Physical constants and conversion factors / A. G. McNish \\ Elementary analytical methods / Milton Abramowitz \\ Elementary transcendental functions: logarithmic, exponential, circular and hyperbolic functions / Ruth Zucker \\ Exponential integral and related functions / Walter Gautschi and William F. Cahill \\ Gamma function and related functions / Philip J. Davis \\ Error function and Fresnel integrals / Walter Gautschi \\ Legendre functions / Irene A. Stegun \\ Bessel functions of integer order / F. W. J. Olver \\ Bessell functions of fractional order / H. A. Antosiewicz \\ Integrals of Bessel functions / Yudell L. Luke \\ Struve functions and related functions / Milton Abramowitz \\ Confluent hypergeometric functions / Lucy Joan Slater \\ Coulomb wave functions / Milton Abramowitz \\ Hypergeometric functions / Fritz Oberhettinger \\ Jacobian elliptic functions and theta functions; Elliptic integrals / L. M. Milne-Thomson \\ Weierstrass elliptic and related functions / Thomas H. Southard \\ Parabolic cylinder functions / J. C. P. Miller\ldots{} Mathieu functions / Gertrude Blanch \\ Spheroidal wave functions / Arnold N. Lowan \\ Orthogonal polynomials / Urs W. Hochstrasser \\ Bernoulli and Euler polynomials, Riemann zeta function / Emilie V. Haynesworth and Karl Goldberg \\ Combinatorial analysis / K. Goldberg, M. Newman and E. Haynesworth \\ Numerical interpolation, differentiation and integration / Philip J. Davis and Ivan Polonsky \\ Probability functions / Marvin Zelen and Norman C. Severo \\ Miscellaneous functions / Irene A. Stegun \\ Scales of notation / S. Peavy and A. Schopf \\ Laplace transforms", } @Proceedings{Wilcox:1964:ASD, editor = "Calvin H. Wilcox", booktitle = "Asymptotic solutions of differential equations and their applications: Proceedings of a Symposium Conducted by the {Mathematics Research Center, United States Army, at the University of Wisconsin, Madison, May 4--6, 1964}", title = "Asymptotic solutions of differential equations and their applications: Proceedings of a Symposium Conducted by the {Mathematics Research Center, United States Army, at the University of Wisconsin, Madison, May 4--6, 1964}", publisher = pub-WILEY, address = pub-WILEY:adr, pages = "x + 249", year = "1964", MRclass = "34.50", MRnumber = "166426", bibdate = "Tue Nov 7 06:56:04 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", note = "Publication No. 13 of the Mathematics Research Center, United States Army, The University of Wisconsin. Dedicated to Professor Rudolph E. Langer.", acknowledgement = ack-nhfb, } @Proceedings{Rall:1965:EDCb, editor = "L. B. Rall", booktitle = "Error in Digital Computation", title = "Error in Digital Computation", volume = "2", publisher = pub-WILEY, address = pub-WILEY:adr, pages = "288", year = "1965", MRclass = "65.80", MRnumber = "MR0189284 (32 \#6711)", MRreviewer = "J. M. Ortega", bibdate = "Tue Aug 15 18:20:34 MDT 1995", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/moore-ramon-e.bib; https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib; https://www.math.utah.edu/pub/bibnet/authors/w/wilkinson-james-hardy.bib; https://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib; https://www.math.utah.edu/pub/tex/bib/fparith.bib", note = "Proceedings of an advanced seminar conducted by the Mathematics Research Center, United States Army, at the University of Wisconsin, Madison, October 5--7, 1964.", author-dates = "David M. Young, Jr. (October 20, 1923--December 21, 2008)", tableofcontents = "1. Experimental investigation of unnormalize1 arithmetic / Ashenhurst \\ 2. Error bounds for computations with continued fractions / Henrici \\ 3. Error bounds for asymptotic expansions of special functions in the complex plane / Olver \\ 4. Error analysis for transformations based on the use of matrices of the form $I -2 w w^H$. / Wilkinson \\ 5. Automatic local coordinate transformations to reduce the growth of error bounds in interval computation of solutions of ordinary differential equations / Moore \\ 6. Differential inequalities and error bounds / Schroder \\ 7. Discrete representations of partial differential operators / Young and Dauwalder \\ 8. Upper and lower bounds for solutions of integral equations / Brown \\ 9. Convergence ana error bounds for approximate solutions of integral and operator equations / Anselone \\ 10. Applications of functional analysis to error estimation / Collatz \\ 11. Error in the solution of linear programming problems / Wolfe", } @Proceedings{Ludwig:1970:SAM, editor = "Donald Ludwig and Frank J. Olver", booktitle = "Special Functions and Wave Propagation; a Collection of Papers Presented at the {Symposia on Special functions and Wave Propagation, \ldots{} at the 1969 SIAM national meeting held in Washington, DC}", title = "Special Functions and Wave Propagation; a Collection of Papers Presented at the {Symposia on Special functions and Wave Propagation, \ldots{} at the 1969 SIAM national meeting held in Washington, DC}", volume = "6", publisher = pub-SIAM, address = pub-SIAM:adr, pages = "192", year = "1970", LCCN = "????", MRclass = "60-06", bibdate = "Mon Nov 6 08:55:13 MST 2023", bibsource = "fsz3950.oclc.org:210/WorldCat; https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", series = "Studies in applied mathematics", acknowledgement = ack-nhfb, author-dates = "Frank William John Olver (15 December 1924--23 April 2013)", } @Proceedings{Irwin:1987:PSC, editor = "Mary Jane Irwin and Renato Stefanelli", booktitle = "Proceedings: 8th Symposium on Computer Arithmetic, May 19--21, 1987, Villa Olmo, Como, Italy", title = "Proceedings: 8th Symposium on Computer Arithmetic, May 19--21, 1987, Villa Olmo, Como, Italy", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "ix + 277", month = may, year = "1987", ISBN = "0-8186-0774-2 (paperback), 0-8186-4774-4 (microfiche), 0-8186-8774-6 (case)", ISBN-13 = "978-0-8186-0774-5 (paperback), 978-0-8186-4774-1 (microfiche), 978-0-8186-8774-7 (case)", LCCN = "QA 76.9 C62 S95 1987", bibdate = "Wed Sep 14 20:52:21 1994", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib; https://www.math.utah.edu/pub/tex/bib/fparith.bib", acknowledgement = ack-nhfb, author-dates = "Frank William John Olver (15 December 1924--23 April 2013)", keywords = "ARITH-8", } @Book{Turner:1989:NAP, editor = "Peter R. Turner", booktitle = "Numerical Analysis and Parallel Processing: Lectures given at {The Lancaster Numerical Analysis Summer School 1987}", title = "Numerical Analysis and Parallel Processing: Lectures given at {The Lancaster Numerical Analysis Summer School 1987}", volume = "1397", publisher = pub-SV, address = pub-SV:adr, pages = "vi + 264", year = "1989", DOI = "https://doi.org/10.1007/BFb0085715", ISBN = "3-540-51645-X", ISBN-13 = "978-3-540-51645-3", MRclass = "65-06", MRnumber = "1022260", bibdate = "Tue Nov 7 08:06:01 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", note = "Lectures from the Third S.E.R.C. Numerical Analysis Summer School held at the University of Lancaster, Lancaster, 1987", series = "Lecture Notes in Mathematics", acknowledgement = ack-nhfb, author-dates = "Charles William Clenshaw (15 March 1926--23 September 2004); Frank William John Olver (15 December 1924--23 April 2013)", tableofcontents = "Front Matter / n2--vi \\ Parallel computation and optimisation a series of five lectures (July 1987) / Laurence C. W. Dixon / 1--30 \\ Solution of sparse systems of equations on multiprocessor architectures / Alan George / 31--94 \\ Level-index arithmetic: An introductory survey / C. W. Clenshaw, F. W. J. Olver, P. R. Turner / 95--168 \\ Some aspects of floating point computation / Alan Feldstein, Richard H. Goodman / 169--181 \\ Some gradient superconvergence results in the finite element method / J. R. Whiteman, G. Goodsell / 182--260 \\ Programme of the meeting / Peter R. Turner / 261--264 \\ Back Matter / 265--267", } @Proceedings{Cox:1990:RNC, editor = "M. G. Cox and S. Hammarling", booktitle = "Reliable numerical computation", title = "Reliable numerical computation", publisher = pub-OXFORD, address = pub-OXFORD:adr, pages = "xvi + 339", year = "1990", ISBN = "0-19-853564-3", ISBN-13 = "978-0-19-853564-5", LCCN = "QA297 .R435 1990", MRclass = "65-06", MRnumber = "91k:65011", bibdate = "Fri Dec 20 18:34:52 1996", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/dongarra-jack-j.bib; https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib; https://www.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib; https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib; https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib; https://www.math.utah.edu/pub/bibnet/authors/p/parlett-beresford-n.bib; https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib; https://www.math.utah.edu/pub/bibnet/authors/w/wilkinson-james-hardy.bib", note = "Based on papers from a conference in honour of the late James Hardy Wilkinson (died Sunday 5th October 1986) held at National Physical Laboratory, Teddington, Middlesex, UK, 8th--10th July 1987.", price = "US\$75.00", abstract = "Published to honor the late Jim Wilkinson, the respected pioneer in numerical analysis, this book includes contributions from his colleagues and collaborators, leading experts in their own right. The breadth of Wilkinson's research is reflected in the topics covered, which include linear algebra, error analysis and computer arithmetic algorithms, and mathematical software. An invaluable reference, the book is completely up-to-date with the latest developments on the Lanczos algorithm, QR-factorizations, error propagation models, parameter estimation problems, sparse systems, and shape-preserving splines. Reflecting the current growth and vitality of this field, the volume is an essential reference for all numerical analysts.", acknowledgement = ack-nhfb, author-dates = "Christian H. Reinsch (?? ?? 1932--8 October 2022)", tableofcontents = "List of contributors / / xv \\ Prologue. Reflections on Jim Wilkinson / Gene Golub / 1--5 \\ 1. Misconvergence in the Lanczos algorithm / Beresford Parlett / 7--24 \\ 2. The Lanczos algorithm for a pure imaginary Hermitian matrix / Charles L. Lawson and Kajal K. Gupta / 25--34 \\ 3. Nearest defective matrices and the geometry of ill-conditioning / James Demmel / 35--55 \\ 4. Computational aspects of the Jordan canonical form / Theo Beelen and Paul Van Dooren / 57--72 \\ 5. Some aspects of generalized QR factorizations / C. C. Paige / 73--91 \\ 6. The multifrontal method in a parallel environment / I. S. Duff, N. I. M. Gould, M. Lescrenier, and J. K. Reid / 93--111 \\ 7. A Schur-complement method for sparse quadratic programming / Philip E. Gill, Walter Murray, Michael A. Saunders, and Margaret H. Wright / 113--138 \\ 8. A probabilistic round-off error propagation model. Application to the eigenvalue problem / Fran{\c{c}}oise Chatelin and Marie Christine Brunet / 139--160 \\ 9. Analysis of the Cholesky decomposition of a semi-definite matrix / Nicholas J. Higham / 161--185 \\ 10. On the conditioning of parameter estimation problems / James M. Varah / 187--195 \\ 11. Rounding errors in algebraic process-in level-index arithmetic / F. W J. Olver / 197--205 \\ 12. Experiments in tearing large sparse systems / Mario Arioli and lain S. Duff / 207--226 \\ 13. The least-squares solution of linear equations with block-angular observation matrix / M. G. Cox / 227--240 \\ 14. An iterative method for solving linear inequalities / G. W Stewart / 241--247 \\ 15. Iterative refinement and reliable computing / Ake Bjorck / 249--266 \\ 16. Software for shape-preserving spline interpolation / Christian H. Reinsch / 267--276 \\ 17. Experiences with some software engineering practices in numerical software / D. A. H. Jacobs and G. Markham / 277--296 \\ 18. Evolution of numerical software for dense linear algebra / Jack Dongarra and Sven Hammarling / 297--327 \\ Epilogue. Jim Wilkinson: some after-dinner sentiments / L. Fox / 329--335", } @Book{Swartzlander:1990:CAb, author = "Earl E. {Swartzlander, Jr.}", booktitle = "Computer Arithmetic", title = "Computer Arithmetic", volume = "2", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "ix + 396", year = "1990", ISBN = "0-8186-8945-5", ISBN-13 = "978-0-8186-8945-1", LCCN = "QA76.9 .C62C66 1990", bibdate = "Wed Dec 15 10:43:03 1993", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/cody-william-j.bib; https://www.math.utah.edu/pub/bibnet/authors/h/hamming-richard-w.bib; https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib; https://www.math.utah.edu/pub/tex/bib/fparith.bib; https://www.math.utah.edu/pub/tex/bib/master.bib", note = "This is part of a two-volume collection of influential papers on the design of computer arithmetic.", acknowledgement = ack-nhfb, tableofcontents = "Preface / v \\ Chapter 1: Overview / E. E. Swartzlander, Jr. / 1 \\ Chapter 2: Error Tolerant Arithmetic / 15 \\ Error Detecting and Error Correcting Codes / R. W. Hamming (Bell System Technical Journal, 1950, Pages 147--160) / 16 \\ Generalized Parity Checking / H. L. Garner (IRE Transactions on Electronic Computers, 1958, Pages 207--213) / 30 \\ Error Checking Logic for Arithmetic Type Operations of a Processor / T. R. N. Rao (IEEE Transactions on Computers, 1968, Pages 845--849) / 37 \\ Arithmetic Algorithms for Error-Coded Operands / A. Avizienis (IEEE Transactions on Computers, 1973, Pages 567--572) / 42 \\ Error Detection and Correction for Addition and Subtraction, through Use of Higher Radix Extensions of Hamming Codes / J. E. Robertson (Proceedings 8th Symposium on Computer Arithmetic, 1987, Pages 226--229) / 48 \\ Chapter 3: On-Line Arithmetic / 53 \\ Signed-Digit Number Representations for Fast Parallel Arithmetic / A. Avizienis (IRE Transactions on Electronic Computers, 1961, Pages 389---400) / 54 \\ On-Line Arithmetic: A Design Methodology and Applications in Digital Signal Processing / M. D. Ercegovac and T. Lang (VLSI Signal Processing, III, 1988, Pages 252--263) / 66 \\ On-Line Algorithms for Division and Multiplication / K. S. Trivedi and M. D. Ercegovac (IEEE Transactions on Computers, 1977, Pages 681---687) / 78 \\ Error Analysis of Certain Floating-point On-Line Algorithms / O. Watanuki and M. D. Ercegovac (IEEE Transactions on Computers, 1983, Pages 352--358) / 85 \\ Improved Normalization Results for Digit On-Line Arithmetic / R. J. Zaccone and J. L. Barlow (Proceedings 7th Symposium on Computer Arithmetic, 1985, Pages 20--27) / 92 \\ Fully Digit On-Line Networks / M. J. Irwin and R. M. Owens (IEEE Transactions on Computers, 1983, Pages 402---406) / 100 \\ On-Line Scheme for Computing Rotation Factors / M. D. Ercegovac and T. Lang (Journal of Parallel and Distributed Computing, 1988, Pages 209--227) / 104 \\ On-the-Fly Conversion of Redundant into Conventional Representations / M. D. Ercegovac and T. Lang (IEEE Transactions on Computers, 1987, Pages 895--897) / 123 \\ Chapter 4: VLSI Adder Implementations / 127 \\ Time-Component Complexity of Two Approaches to Multioperand Binary Addition / D. E. Atkins and S. Ong (IEEE Transactions on Computers, 1979, Pages 918--926) / 128 \\ Some Optimal Schemes for ALU Implementation in VLSI Technology / V. G. Oklobdzija and E. R. Barnes (Proceedings7 th Symposium on Computer Arithmetic, 1985, Pages 2--8) / 137 \\ A Regular Layout for Parallel Adders / R. P. Brent and H. T. Kung (IEEE Transactions on Computers, 1982, Pages 260--264) / 144 \\ An Area-Time Efficient NMOS Adder / M. A. Bayoumi, G. A. Jullien, and W. C. Miller (Integration, the VLSI Journal, 1983, Pages 317--334) / 148 \\ Regular, Area-Time Efficient Carry-Lookahead Adders / T.-F. Ngai, M. J. Irwin, and S. Rawat (Journal of Parallel and Distributed Computing, 1986, Pages 92--105) / 166 \\ Efficient Use of Time and Hardware Redundancy for Concurrent Error Detection in a 32-Bit VLSI Adder / B. W. Johnson, J. H. Aylor, and H. H. Hana (IEEE Journal of Solid-State Circuits, 1988, Pages 208--215) / 180 \\ Chapter 5: VLSI Multiplier Implementations / 189 \\ A Monolithic $16 \times 16$ Digital Multiplier / G. W. McIver, R. W. Miller, and T. G. O'Shaughnessy (IEEE International Solid-State Circuits Conference Digest of Technical Papers, 1974, Pages 231--233) / 190 \\ Optimization of One-Bit Full Adders Embedded in Regular Structures / K. Iwano and K. Steiglitz (IEEE Transactions on Acoustics, Speech, and Signal Processing, 1986, Pages 1289--1300) / 193 \\ A VLSI Layout for a Pipelined Dadda Multiplier / P. R. Cappello and K. Steiglitz (ACM Transactions on Computer Systems, 1983, Pages 157--174) / 205 \\ A Very Fast Multiplication Algorithm for VLSI Implementation / J. Vuillemin (Integration, the VLSI Journal, 1983, Pages 39--52) / 223 \\ A High-Speed Multiplier Using a Redundant Binary Adder Tree / Y. Harata, Y. Nakamura, H. Nagase, M. Takigawa, and N. Takagi (IEEE Journal of Solid-State Circuits, 1987, Pages 28--34) / 237 \\ A Sub-10-ns $16 \times 16$ Multiplier Using 0.6-$\mu$m CMOS Technology / Y. Oowaaki, K. Numata, K. Tsuchiya, K. Tsuda, H. Takato, N. Takenouchi, A. Nitayama, T. Kobayashi, M. Chiba, S. Watanabe, K. Ohuchi, and A. Rojo (IEEE Journal of Solid-State Circuits, 1987, Pages 762--767) / 244 \\ Chapter 6: Floating Point VLSI Chips / 251 \\ A High Performance Floating Point Coprocessor / G. Wolrich, E. McLellan, L. Harada, J. Montanaro, and R. A. J. Yodlowski (IEEE Journal of Solid-State Circuits, 1984, Pages 690--696) / 252 \\ 64-Bit Monolithic Floating Point Processors / F. A. Ware, W. H. McAllister, J. R. Carlson, D. K. Sun, and R. J. Vlach (IEEE Journal of Solid-State Circuits, 1982, Pages 898--907) / 259 \\ A CMOS Floating Point Multiplier / M. Uya, K. Kaneko, and J. Yasui (IEEE Journal of Solid-State Circuits, 1984, Pages 697--702) / 269 \\ A Single-Chip 80-Bit Floating Point Processor / K. Takeda, F. Ishino, Y. Ito, R. Kasai, and T. Nakashima (IEEE Journal of Solid-State Circuits, 1985, Pages 986--992) / 275 \\ VLSI Floating-Point Processors / J. Fandrianto and B. Y. Woo (Proceedings 7th Symposium on Computer Arithmetic, 1985, Pages 93--100) / 282 \\ Fast Multiply and Divide for a VLSI Floating-Point Unit / B. K. Bose, L. Pei, G. S. Taylor, and D. A. Patterson (Proceedings 8th Symposium on Computer Arithmetic, 1987, Pages 87--94) / 290 \\ Chapter 7: Number Representation / 299 \\ A Formalization of Floating-Point Numeric Base Conversion / D. W. Matula (IEEE Transactions on Computers, 1970, Pages 681--692) / 300 \\ Analysis of Proposals for the Floating-Point Standard / W. J. Cody (Computer, March 1987, Pages 63--68) / 312 \\ CADAC: A Controlled-Precision Decimal Arithmetic Unit / M. S. Cohen, T. E. Hull, and V. C. Hamacher (IEEE Transactions on Computers, 1983, Pages 370--377) / 317 \\ Finite Precision Rational Arithmetic: Slash Number Systems / D. W. Matula and P. Kornerup (IEEE Transactions on Computers, 1985, Pages 3--18) / 325 \\ Finite Precision Lexicographic Continued Fraction Number Systerns / P. Kornerup and D. W. Matula (Proceedings 7th Symposium on Computer Arithmetic, 1985, Pages 207--214) / 341 \\ An Overflow\slash Underflow Free Floating Point Representation of Numbers / S. Matsui and M. lri (Journal of Information Processing, 1981, Pages 123--133) / 349 \\ A Closed Computer Arithmetic / F. W. J. Olver (Proceedings 8th Symposium on Computer Arithmetic, 1987, Pages 139--143) / 360 \\ Bibliography / 365 \\ Index / 393 \\ About the Editor / 397", xxnote = "This is part of a two-volume collection of influential papers on the design of computer arithmetic. See also \cite{Swartzlander:1990:CAa}.", } @Proceedings{Wong:1990:ACA, editor = "R. (Roderick) Wong", booktitle = "Asymptotic and Computational Analysis: Conference in Honor of {Frank W. J. Olver}'s 65th Birthday", title = "Asymptotic and Computational Analysis: Conference in Honor of {Frank W. J. Olver}'s 65th Birthday", volume = "124", publisher = pub-MARCEL-DEKKER, address = pub-MARCEL-DEKKER:adr, pages = "xii + 755", year = "1990", ISBN = "0-8247-8347-6", ISBN-13 = "978-0-8247-8347-1", LCCN = "QA299.6 .A88 1990", bibdate = "Wed May 9 09:22:13 MDT 2007", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib; https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib; https://www.math.utah.edu/pub/bibnet/authors/s/stenger-frank.bib; z3950.loc.gov:7090/Voyager", series = "Lecture Notes in Pure and Applied Mathematics", URL = "http://www.loc.gov/catdir/enhancements/fy0647/90002810-d.html", abstract = "Papers presented at the International Symposium on Asymptotic and Computational Analysis, held June 1989, Winnipeg, Manitoba, sponsored by the Department of Applied Mathematics, University of Manitoba and the Canadian Applied Mathematics Society.", acknowledgement = ack-nhfb, author-dates = "Frank William John Olver (15 December 1924--23 April 2013)", subject = "Numerical analysis; Congresses; Asymptotic expansions; Olver, Frank W. J.", subject-dates = "Frank William John Olver (15 December 1924--23 April 2013)", tableofcontents = "Preface / ii \\ Contributors / ix \\ \\ Invited Papers \\ \\ Graphs as an Aid to Understanding Special Functions / R. A. Askey / 3 \\ Asymptotics of Integrals, Series, and Operators / L. Berg / 35 \\ Asymptotic Expansions for the Coefficient Functions Associated with Linear Second-Order Differential Equations: The Simple Pole Case / W. G. C. Boyd / 53 \\ Landen Transformations of Integrals / B. C. Carlson / 75 \\ Accelerating the Convergence of Chebyshev Series / L. M. Ciasullo and J. A. Cochran / 95 \\ Practical Methods for the Uniform Asymptotic Evaluation of Oscillating Integrals with Several Coalescing Saddle Points / J. N. L. Connor / 137 \\ New Inequalities for the Zeros of Confluent Hypergeometric Functions / Luigi Gatteschi / 175 \\ How (Un)stable Are Vandermonde Systems? / Walter Gautschi / 193 \\ Singular Point and Exponential Asymptotics / Floyd B. Hanson / 211 \\ Uniform Asymptotic Remainders / D. S. Jones / 241 \\ Period Tripling and Subharmonic Oscillations in Marangoni Flows in a Cylindrical Liquid Bridge / Nicholas D. Kazarinoff and Joseph S. Wilkowski / 265 \\ Positive Solutions for Degenerate and Nondegenerate Elliptic Systems: Existence and Numerical Approximations / Anthony W. Leung and Guangwei Fan / 285 \\ Observable Tunneling in Several Dimensions / R. E. Meyer / 299 \\ On Stokes Phenomenon and Converging Factors / Frank W. J. Olver / 329 \\ Singularly Perturbed Boundary Value Problems Viewed in the Li{\'e}nard Plane / J. D. Allen and R. E. O'Malley, Jr. / 357 \\ On the Asymptotic Theory of the Orr--Sommerfeld / W. H. Reid / Problem \\ Gevrey Property of Formal Solutions in a Parameter / Yasutaka Sibuya / 393 \\ A Riccati Approach to the Airy Equation / Donald R. Smith / 403 \\ A System of Polynomials Associated with the Chester, Friedman, and Ursell Technique / K. Soni and R. P. Soni / 417 \\ Rational Approximation of the Step, Filter, and Impulse Functions / Yasuhiko Ikebe, Marek Kowalski, and Frank Stenger 455 / 441 \\ Polynomial Asymptotic Estimates of Gegenbauer, Laguerre, and Jacobi Polynomials / Nico M. Temme / 455 \\ Integrals with a Large Parameter and the Maximum-Modulus Principle / F. Ursell / 477 \\ Finite Axial Extension and Torsion of Elastic Helicoidal Shells / Frederic Y. M. Wan / 491 \\ Some Properties of Convolution Sequences and Asymptotics for the Taylor Coefficients for Products of Bessel Functions / Jet Wimp / 517 \\ A Generalization of Olver's Algorithm for Linear Difference Systems / R. V. M. Zahar / 535 \\ \\ Contributed Papers \\ \\ Continental Shelf Wave Scattering: Partial Removal of the Rigid Lid / Anthony M. J. Davis / 555 \\ Some Aspects of Invariant Subspaces Computation / Luca Dieci and Robert D. Russell / 565 \\ Error Bounds via Complete Monotonicity for a Uniform Asymptotic Expansion of the Legendre Function $P_m^{-m}(\cosh z)$ / C. L. Frenzen / 587 \\ Computational Asymptotics of Fourth-Order Operators / P. A. Carinhas and S. A. Fulling / 601 \\ Universal Asymptotic Distribution Functions mod 1 / William M. Y. Goh and Eric Schmutz / 619 \\ On the $n$-Variable Saddle Point and Steepest Descent Methods / D. Kaminski / 627 \\ Applications of the Method of Steepest Descents in Wave-Propagation Problems / Francesco Mainardi and Giuliano Vitali / 639 \\ The Asymptotics of Pearcey's Integral for Complex Variables / R. B. Paris / 653 \\ Asymptotic Methods in Magnetoconvection / N. Rudraiah, O. P. Chandna, and R. M. Barron / 669 \\ The Interior Layer Structure for a Linear Parabolic Problem with Discontinuous Data / Shagi-Di Shih / 685 \\ Asymptotic Expansions of Solutions to $\Delta u - u = f$ at Infinity / D. Siegel / 697 \\ Approximating Zeros of Solutions of Second-Order Linear ODEs by ``Phase Function'' Methods / R. Spigler and M. Vianello / 707 \\ Asymptotic Expansions of Integrals of Two Bessel Functions / B. J. Stovanov, R. A. Farrell, and J. F. Bird / 723 \\ On Eigenvalues with Exponentially Small Imaginary Part / A. D. Wood and R. B. Paris / 741 \\ Index / 751", } @Proceedings{Martin:1992:WAP, editor = "P. A. Martin and G. R. Wickham", booktitle = "Wave Asymptotics: the proceedings of the meeting to mark the retirement of {Professor Fritz Ursell from the Beyer Chair of Applied Mathematics in the University of Manchester}", title = "Wave Asymptotics: the proceedings of the meeting to mark the retirement of {Professor Fritz Ursell from the Beyer Chair of Applied Mathematics in the University of Manchester}", publisher = pub-CAMBRIDGE, address = pub-CAMBRIDGE:adr, pages = "xii + 244", year = "1992", ISBN = "0-521-41414-8 (hardcover)", ISBN-13 = "978-0-521-41414-2 (hardcover)", LCCN = "TC172 .W38 1992", bibdate = "Tue Nov 7 05:59:17 MST 2023", bibsource = "fsz3950.oclc.org:210/WorldCat; https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", acknowledgement = ack-nhfb, shorttableofcontents = "1 Sir James Lighthill / Asymptotic behaviour of anistropic wave systems stimulated by oscillating sources / 1 \\ 2 J. N. L. Connor, P. R. Curtis \& R. A. W. Young / Uniform asymptotics of oscillating integrals: applications in chemical physics / 24 \\ 3 R. E. Meyer / Approximation and asymptotics / 43 \\ 4 F. W. J. Olver / Converging factors / 54 \\ 5 F. G. Leppington / Matched asymptotic methods in surface wave theory / 69 \\ 6 V. Hutson / Asymptotics in some biological models / 86 \\ 7 J. N. Newman / Approximation of free-surface Green functions / 107 \\ 8 K. Eggers / On far-field approximations to the wave pattern around a ship travelling at constant velocity / 136 \\ 9 John P. Breslin / An analytical theory of propeller generated effective wake / 160 \\ 10 E. O. Tuck / Analytical aspects of slender body theory / 184 \\ 11 D. V. Evans / Vertical barriers, sloping beaches and submerged bodies / 202 \\ 12 F. Ursell / Some unsolved and unfinished problems in the theory of waves / 220", tableofcontents = "Foreword page / xi \\ Preface / xiii \\ Contributors / xiv \\ \\ 1 Sir James Lighthill: Asymptotic behaviour of anistropic wave systems stimulated by oscillating sources / 1 \\ 1.1 Abstract / 1 \\ 1.2 Introduction / 1 \\ 1.3 Explanation of the Fourier integral which has to be asymptotically estimated / 3 \\ 1.4 Special problems in the estimation of this Fourier integral / 5 \\ 1.5 The estimation method of Lighthill (1960, 1978) briefly recapitulated / 6 \\ 1.6 Reconsideration of what poles lie in the strip / 8 \\ 1.7 Formulating the contribution from $S_{-i}$ to our integrals / 10 \\ 1.8 Behaviour near $C$ of the contribution from $S_{-i}$ to our integrals / 12 \\ 1.9 Essential role of the integral over $S_{-i}$ as a continuation of that over $S_+$ / 14 \\ 1.10 Some important asymptotic results in two or three dimensions / 14 \\ 1.11 Wave generation by travelling forcing effects / 18 \\ 1.12 References / 22 \\ \\ 2 J. N. L. Connor, P. R. Curtis \& R. A. W. Young: Uniform asymptotics of oscillating integrals: applications in chemical physics / 24 \\ 2.1 Introduction / 24 \\ 2.2 Uniform cuspoid approximation / 26 \\ 2.3 Uniform hyperbolic umbilic approximation / 28 \\ 2.4 Application of the uniform hyperbolic umbilic approximation / 29 \\ 2.5 Franck--Condon integrals / 32 \\ 2.6 Catastrophe theory analysis of the exponent / 35 \\ 2.6.1 Rules for finding the corank and determinancy of an analytic function/ 39 \\ 2.6.2 Unfolding the catastrophe / 37 \\ 2.7 Uniform swallowtail evaluation of Franck--Condon integrals / 38 \\ 2.8 Conclusions / 39 \\ 2.9 References / 40 \\ \\ 3 R. E. Meyer: Approximation and asymptotics / 43 \\ 3.1 Introduction / 43 \\ 3.2 Objectives and limits / 44 \\ 3.3 Solutions and observables / 45 \\ 3.4 Asymptotic misunderstandings / 46 \\ 3.5 Filters / 48 \\ 3.6 Conclusion / 52 \\ 3.7 References / 53 \\ \\ 4 F. W. J. Olver: Converging factors / 54 \\ 4.1 Exponentially accurate asymptotic expansions / 54 \\ 4.2 Researches of J. R. Airey / 56 \\ 4.3 Researches of R. B. Dingle / 58 \\ 4.4 Rigorous proofs / 61 \\ 4.5 Researches of M. V. Berry / 62 \\ 4.6 Generalized exponential integral / 63 \\ 4.7 Confluent hypergeometric function / 64 \\ 4.8 Conclusions / 65 \\ 4.9 References / 66 \\ \\ 5 F. G. Leppington: Matched asymptotic methods in surface wave theory / 69 \\ 5.1 Introduction / 69 \\ 5.2 Transmission past a partially immersed cylinder / 70 \\ 5.2.1 Outer region / 17 \\ 5.2.2 Right inner region / 17 \\ 5.2.3 Left inner region / 73 \\ 5.2.4 Matching / 73 \\ 5.2.5 Right inner approximation / 173 \\ 5.2.6 Outer approximation / 74 \\ 5.2.7 Left outer approximation / 75 \\ 5.2.8 Generalisations / 175 \\ 5.3 Radiation problem: heaving cylinder ce / 76 \\ 5.4 Scattering from a plane vertical obstacle / 78 \\ 5.4.1 Left inner approximation / 19 \\ 5.4.2 Transmission coefficient / 80 \\ 5.4.3 Generalisation / 80 \\ 5.5 Scattering of long waves by a submerged circular cylinder / 80 \\ 5.5.1 Outer region / 81 \\ 5.5.2 Inner approximation / 82 \\ 5.5.3 Outer approximation / 82 \\ 5.6 References / 83 \\ \\ 6 V. Hutson: Asymptotics in some biological models / 86 \\ 6.1 Introduction / 8 \\ 6.1.1 General remarks / 86 \\ 6.1.2 Two mathematical models / 87 \\ 6.1.3 Preliminary observations / 89 \\ 6.2 Permanence / 90 6.2.1 Introduction / 9 \\ 6.2.2 Semiflows / 9 \\ 6.2.3 Average Liapunov functions / 94 \\ 6.2.4 Applications / 96 \\ 6.2.5 Conclusions / 98 \\ 6.3 Patterns and travelling waves / 99 \\ 6.3.1 Introduction / 99 \\ 6.3.2 Turing instability / 99 \\ 6.3.3 Travelling waves / 101 \\ 6.4 References / 105 \\ \\ 7 J. N. Newman: Approximation of free-surface Green functions / 107 \\ 7.1 Introduction / 107 \\ 7.2 Polynomial approximation / 110 \\ 7.3 Array of Rankine image sources / 112 \\ 7.4 Frequency domain infinite depth / 114 \\ 7.5 Frequency domain finite depth / 116 \\ 7.6 Time domain --- infinite depth / 117 \\ 7.7 Time domain --- finite depth / 121 \\ 7.8 Discussion and conclusions / 128 \\ 7.9 Acknowledgement / 131 \\ 7.10 References / 131 \\ 7.11 Appendix --- extension of equation 7.41 / 132 \\ \\ 8 K. Eggers: On far-field approximations to the wave pattern around a ship travelling at constant velocity / 136 \\ 8.1 Historical remarks / 136 \\ 8.2 The rule of stationary phase / 141 \\ 8.3 Kelvin's approximation through single wave components / 142 \\ 8.4 Contour integration in the complex $k$-plane using polar coordinates, with $k$ as the inner integration variable / 145 \\ 8.5 Contour integration in the complex $w$-plane using Cartesian coordinates, with w as the inner integration variable / 146 \\ 8.6 Contour integration in the complex $u$-plane using Cartesian coordinates, with $u$ as the inner integration variable / 147 \\ 8.7 Discussion of the different decompositions / 149 \\ 8.8 Bessho's compact single-integral representation of the wave field / 150 \\ 8.9 The determination of wave resistance from measured wave profiles / 153 \\ 8.9.1 Profiles along a longitudinal cut / 153 \\ 8.9.2 Profiles along a transverse cut / 155 \\ 8.10 The ray approach to the ship-wave problem / 156 \\ 8.11 Conclusions / 157 \\ 8.12 References / 157 \\ \\ 9 John P. Breslin: An analytical theory of propeller generated effective wake / 160 \\ 9.1 Introduction / 160 \\ 9.2 Analysis / 162 \\ 9.2.1 Assumptions / 162 \\ 9.2.2 Euler and continuity equations / 162 \\ 9.2.3 Axisymmetric linearized equations / 164 \\ 9.2.4 Solution for a class of shearflows / 165 \\ 9.2.5 The radial component of induced velocity / 170 \\ 9.2.6 The axial component of induced velocity / 171 \\ 9.3 Numerical evaluations / 172 \\ 9.4 Partly non-linear theory / 172 \\ 9.5 Comparison of weighted-average wake parameters / 177 \\ 9.6 Concluding remarks / 180 \\ 9.7 Acknowledgements / 181 \\ 9.8 References / 181 \\ \\ 10 E. O. Tuck: Analytical aspects of slender body theory / 184 \\ 10.1 The central asymptotic result of slender body theory / 184 \\ 10.2 Special cases / 187 \\ 10.3 Surface pressures / 192 \\ 10.4 Higher approximations / 195 \\ 10.5 Lateral flow / 197 \\ 10.6 More generalisations / 199 \\ 10.7 References / 200 \\ \\ 11 D. V. Evans: Vertical barriers, sloping beaches and submerged bodies / 202 \\ 11.1 Vertical barriers / 202 \\ 11.2 Sloping beaches / 207 \\ 11.3 Submerged bodies / 210 \\ 11.4 Conclusion / 216 \\ 11.5 References / 217 \\ \\ 12 F. Ursell: Some unsolved and unfinished problems in the theory of waves / 220 \\ 12.1 The uniqueness problem for linear water waves / 220 \\ 12.2 Problems relating to the heaving motion of a circular cylinder in the surface of a fluid (moderate and long wavelengths) / 221 \\ 12.3 Short-wave asymptotics for the heaving circular cylinder / 222 \\ 12.4 Problems relating to wave resistance / 224 \\ 12.5 Problems relating to trapping modes / 224 \\ 12.6 Problems relating to integrals with a large parameter / 225 \\ 12.7 Conclusions / 225 \\ 12.8 Publications by F. Ursell / 225 \\ 12.8.1 Water waves / 225 \\ 12.8.2 Aerodynamics / 227 \\ 12.8.3 Acoustics / 227 \\ 12.8.4 Mathematical models / 228 \\ 12.8.5 Oceanography / 228 \\ 12.8.6 Biography / 229 \\ 12.9 Notes on the list of publications / 229 \\ 12.9.1 Ship hydrodynamics and linear theory of water waves / 229 \\ 12.9.2 Acoustics / 237 \\ 12.9.3 Asymptotics of integrals / 238 \\ 12.9.4 Aerodynamics / 242 \\ 12.9.5 Oceanography / 242 \\ 12.9.6 Papers by research students / 243", } @Proceedings{Sincovec:1993:PSS, editor = "Richard F. Sincovec and David E. Keyes and Michael R. Leuze", booktitle = "{Proceedings of the Sixth SIAM Conference on Parallel Processing for Scientific Computing, held March 22--24, 1993, in Norfolk, VA, USA}", title = "{Proceedings of the Sixth SIAM Conference on Parallel Processing for Scientific Computing, held March 22--24, 1993, in Norfolk, VA, USA}", publisher = pub-SIAM, address = pub-SIAM:adr, pages = "xix + 1041 + iv", year = "1993", ISBN = "0-89871-315-3a", ISBN-13 = "978-0-89871-315-2", LCCN = "QA76.58 .S55 1993 v.1-2", bibdate = "Tue Oct 11 12:21:40 1994", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/berger-marsha-j.bib; https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib; https://www.math.utah.edu/pub/tex/bib/elefunt.bib", note = "Two volumes.", acknowledgement = ack-nhfb, author-dates = "Frank William John Olver (15 December 1924--23 April 2013)", } @Proceedings{Gautschi:1994:MCH, editor = "Walter Gautschi", booktitle = "{Mathematics of computation, 1943--1993: a half-century of computational mathematics: Mathematics of Computation 50th Anniversary Symposium, August 9--13, 1993, Vancouver, British Columbia}", title = "{Mathematics of computation, 1943--1993: a half-century of computational mathematics: Mathematics of Computation 50th Anniversary Symposium, August 9--13, 1993, Vancouver, British Columbia}", volume = "48", publisher = pub-AMS, address = pub-AMS:adr, pages = "xix + 643", year = "1994", ISBN = "0-8218-0291-7, 0-8218-0353-0 (pt. 1), 0-8218-0354-9 (pt. 2)", ISBN-13 = "978-0-8218-0291-5, 978-0-8218-0353-0 (pt. 1), 978-0-8218-0354-7 (pt. 2)", ISSN = "0160-7634", LCCN = "QA1 .A56 v.48 1994; QA297.M385 1993", MRclass = "00B25 (11-06 65-06)", MRnumber = "95j:00014", bibdate = "Mon Oct 24 11:37:20 2011", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/berger-marsha-j.bib; https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib; https://www.math.utah.edu/pub/bibnet/authors/h/higham-nicholas-john.bib; https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib; https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib; https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib; https://www.math.utah.edu/pub/bibnet/authors/w/wigner-eugene.bib; https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib; https://www.math.utah.edu/pub/tex/bib/elefunt.bib; https://www.math.utah.edu/pub/tex/bib/fparith.bib; https://www.math.utah.edu/pub/tex/bib/mathcomp1940.bib; https://www.math.utah.edu/pub/tex/bib/mathcomp1950.bib; https://www.math.utah.edu/pub/tex/bib/mathcomp1960.bib; https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; https://www.math.utah.edu/pub/tex/bib/mathcw.bib", note = "See also SIAM Review, September 1995, {\bf 37}(3), p. 483.", series = "Proceedings of Symposia in Applied Mathematics", acknowledgement = ack-nhfb, author-dates = "Frank William John Olver (15 December 1924--23 April 2013)", tableofcontents = "Preface / xi \\ Mathematics of Computation: A brief history / Eugene Isaacson / xvii \\ \\ Part I. Symposium on Numerical Analysis \\ \\ Invited Papers \\ \\ On the development of multigrid methods and their analysis / James H. Bramble / 5 \\ An introduction to inverse problems / Margaret Cheney / 21 \\ Algorithms for unconstrained optimization: A review of recent developments / Donald Goldfarb / 33 \\ A survey of componentwise perturbation theory in numerical linear algebra / Nicholas J. Higham / 49 \\ Numerical evaluation of special functions / D. W. Lozier and F. W. J. Olver / 79 \\ A survey of numerical cubature over triangles / J. N. Lyness and Ronald Cools / 127 \\ New trends in the use and analysis of integral equations / J. C. Nedelec / 151 \\ Applications of multivariate splines / Larry L. Schumaker / 177 \\ Initial value problems for ordinary differential equations: Development of ideas, techniques, and implementation / Hans J. Stetter / 205 \\ Multiresolution methods for partial differential equations / Roger Temam / 225 \\ \\ Contributed Papers \\ \\ A comparison of techniques for solving ill-conditioned problems arising from the immersed boundary method / Loyce Adams and Zhiyun Yang / 243 \\ A mixed spectral-collocation and operator splitting method for the Wigner-Poisson equation / Anton Arnold / 249 \\ Finite volume methods for irregular one-dimensional grids / M. J. Berger, R. J. Leveque, and L. G. Stern / 255 \\ Linear rational interpolation of continuous functions over an interval / Jean-Paul Berrut / 261 \\ A von Neumann reflection for the 2-D Burgers equation / M. Brio and J. K. Hunter / 265 \\ Slow evolution from the boundary: A new stabilizing constraint in ill-posed continuation problems / Alfred S. Carasso / 269 \\ A finite element method for the 2D drift-diffusion semiconductor model / Zhangxin Chen / 275 \\ Splitting functions and numerical analysis of WR-type methods for evolutionary and stationary problems / S. De Marchi, M. Vianello, and R. Zanovello / 281 \\ Error estimates for a quadrature rule for Cauchy principal value integrals / Kai Diethelm / 287 \\ A numerical radius approach to stable difference schemes for parabolic systems / Moshe Goldberg / 293 \\ An extension of the Olver-Sookne method for the solution of second-order linear difference equations / Takemitsu Hasegawa and Tatsuo Torii / 297 \\ The Faber polynomials for circular arcs / Matthew He / 301 \\ Finite element approximation for optimal control of electrically conducting fluid flows / L. S. Hou and S. S. Ravindran / 305 \\ ADI methods for heat equations with discontinuities along an arbitrary interface / Zhilin Li and Anita Mayo / 311 \\ Eigenvalue approximation of Fredholm integral operators / E. B. Lin / 317 \\ Spectral methods for singular perturbation problems / Wenbin Liu and Tao Tang / 323 \\ A quaternion-Jacobi method for symmetric matrices / Niloufer Mackey / 327 \\ On constructing Chebyshev series solutions of differential equations / Allan J. MacLeod / 333 \\ Multiquadric collocation methods in the numerical solution of Volterra integral and integro-differential equations / Athena Makroglou / 337 \\ Methods for solving large eigenvalue problems associated with configuration interaction electronic structure calculations / Kristyn J. Maschhoff / 343 \\ Computing limiting normals to real surfaces / Donal O'Shea and Les Wilson / 349 \\ Orthogonal spline collocation solution of nonlinear Schr{\"o}dinger equations / Mark P. Robinson / 355 \\ Who invented the computer? The debate from the viewpoint of computer architecture / Ra{\'u}l Rojas / 361 \\ Locking and boundary layer effects in the finite element approximation of the Reissner--Mindlin plate model / Christoph Schwab and Manil Suri / 367 \\ Efficient spectral Galerkin methods for some elliptic problems / Jie Shen / 373 \\ Periodic solutions of higher-order difference equations in two independent variables / Qin Sheng and Ravi P. Agarwal / 377 \\ Front tracking based on high-resolution wave propagation methods / Keh-Ming Shyue / 383 \\ Time-splitting methods for nonhomogeneous conservation laws / Tao Tang and Zhen-Huan Teng / 389 \\ Numerical aspects of uniform Airy-type asymptotic expansions / N. M. Temme / 395 \\ Local dynamics and bifurcation consistencies of continuous-time dynamical systems and their numerical discretizations / Xin Wang, Edward K. Blum, and Qingnan Li / 399 \\ Computing integrals of the complex error function / J. A. C. Weideman / 403 \\ Quadratures for improper integrals and their applications in integral equations / Yuesheng Xu and Yunhe Zhao / 409 \\ Spline harmonic analysis and wavelet bases / Valery A. Zheludev / 415 \\ \\ Part II. Minisymposium on Computational Number Theory Dedicated to the memory of Derrick Henry Lehmer \\ \\ Invited Papers \\ \\ Algorithms for quadratic orders / Ingrid Biehl and Johannes Buchmann / 425 \\ Analytic computations in number theory / Andrew M. Odlyzko / 451 \\ The number field sieve / Carl Pomerance / 465 \\ Factoring integers before computers / H. C. Williams and J. O. Shallit / 481 \\ \\ Contributed Papers \\ \\ Explicit bounds for primes in residue classes / Eric Bach and Jonathan Sorenson / 535 \\ Ramanujan and Euler's constant / Richard P. Brent / 541 \\ Congruential sieves on FPGA computers / Nathan D. Bronson and Duncan A. Buell / 547 \\ Lehmer pairs of zeros and the Riemann $\xi$-function / George Csordas, Wayne Smith, and Richard S. Varga / 553 \\ A record Aliquot sequence / Andrew W. P. Guy and Richard K. Guy / 557 \\ Implications of computational mathematics for the philosophy of mathematics / Andrew J. Lazarus / 561 \\ Square roots of products of algebraic numbers / Peter L. Montgomery / 567 \\ A locally parameterized version of Lehmer's problem / Gary A. Ray / 573 \\ A new method for finding amicable pairs / H. J. J. te Riele / 577 \\ Generalized Fermat numbers / Hans Riesel and Anders Bj{\"o}rn / 583 \\ Evaluation of $\zeta_K(2)$ for some totally real algebraic number fields K of degree 9 / Kisao Takeuchi / 589 \\ The period of the Bell exponential integers modulo a prime / Samuel S. Wagstaff, Jr. / 595 \\ Computing invariant polynomials of $p$-adic reflection groups / Changsheng Xu / 599 \\ Author Index / 603 \\ Subject Index / 619", } @Proceedings{Dunkl:2000:PIW, editor = "Charles F. Dunkl and Mourad Ismail and Roderick Wong", booktitle = "{Proceedings of the international workshop, special functions: Hong Kong, 21--25 June 1999}", title = "{Proceedings of the international workshop, special functions: Hong Kong, 21--25 June 1999}", publisher = pub-WORLD-SCI, address = pub-WORLD-SCI:adr, pages = "xi + 438", year = "2000", ISBN = "981-02-4393-6", ISBN-13 = "978-981-02-4393-7", LCCN = "QA351.P76 2000; QC20.7.F87 P76 2000", bibdate = "Tue Nov 7 07:30:40 MST 2023", bibsource = "fsz3950.oclc.org:210/WorldCat; https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", acknowledgement = ack-nhfb, author-dates = "Frank William John Olver (15 December 1924--23 April 2013)", remark = "Proceedings \ldots{} presented at the International Workshop on Special Functions--Asymptotics, Harmonic Analysis and Mathematical Physics that was held June 21--25, 1999 at the City University of Hong Kong.", subject = "Functions, Special; Congresses; Fonctions sp{\'e}ciales; Congr{\`e}s; Functions, Special.", tableofcontents = "Integral Representations of Quasi Hypergeometric Functions / K. Aomoto \\ Combinatorics of Crystals for Tensor and Spinor Representations of $U_q(B_n)$ / T. H. Baker \\ On Infinitely Divisible Solutions to Indeterminate Moment Problems / C. Berg \\ Generating Orthogonal Polynomials for Exponential Weights on a Finite Interval / R. C. Y. Chin and D. Ridzal \\ Spherical Multipliers and Spherical Multiplier Transformations / H. Ding \\ Generating Functions Associated with Dihedral Groups / C. F. Dunkl \\ Existence of Approximate Identities in Maximal Ideals of Hypergroup-Algebras / F. Filbir \\ Zeros of Jacobi Polynomials with Varying Non-Classical Parameters / A. Martinez-Finkelshtein, P. Martinez-Gonzalez and R. Orive \\ Asymptotic Behavior of Eigenfunctions for the Hecke Algebra on Homogeneous Trees / P. Gerarding and K. F. Lai \\ Some Relations for Partitions into Four Squares / M. D. Hirschhorn and J. A. Sellers \\ Algebraic Aspects of Quantum Calogero Models / S. Kakei and Y. Kato \\ Special Functions and Perturbations of Black Holes / E. G. Kalnins, W. Miller, Jr. and G. F. Torres Del Castillo and others \\ On a Nonlinear Recurrence Related to Nevai Polynomials / D. Kaminski \\ Inversion Formulas Involving Orthogonal Polynomials and Some of Their Applications / R. Koekoek \\ Bochner-Krall Orthogonal Polynomials / K. H. Kwon, G. J. Yoon and L. L. Littlejohn \\ Orthogonal Expansions for $L^p$ \\ and $C$-Spaces / R. Lasser and J. Obermaier \\ The DLMF Project: A New Initiative in Classical Special Functions / D. W. Lozier \\ Resurgence in Difference Equations, with an Application to Legendre Functions / F. W. J. Olver \\ On Exorcising Secular Terms / R. E. O'Malley, Jr. \\ New Asymptotic Formulas for the Riemann Zeta Function on the Critical Line / R. B. Paris \\ A q-Analogue of a Product Formula of Balley and Related Results / M. Rahman \\ The Brahmagupta Matrix and its Applications to Tiling / R. Rangarajan and E. R. Suryanarayan \\ Elliptic Integrals of the First and Second Kind \\ Comparison of Bulirsch's and Carlson's Algorithms for Numerical Calculation / K.-D. Reinsch and W. Raab \\ Short-Time Estimates for Heat Kernels Associated with Root Systems / M. Rosler \\ Solitons and Coulomb Plasmas, Similarity Reductions and Special Functions / V. P. Spiridonov \\ The Role of Hermite Polynomials in Asymptotic Analysis / N. M. Temme and J. L. Lopez \\ Statistics of Graph Spectra for Some Finite Matrix Groups: Finite Quantum Chaos / A. Terras \\ Convolution Semigroups and Calderon's Formula for Compact K-Variable Continuous Polynomial Hypergroups / K. Trimeche \\ Rodrigues Formulas for Nonsymmetric Multivariable Polynomials Associated with Quantum Integrable Systems of Calogero-Sutherland Type / H. Ujino and A. Nishino \\ Orthogonal Polynomials and Their Asymptotic Behavior / R. Wong \\ A Product Formula of Jacobi Polynomials / Y. Xu \\ Schur Functions and Two Realizations of the Basic $A_1^{(1)}$-Module / H.-F. Yamada", } @Book{Wong:2000:SPF, editor = "Roderick Wong", booktitle = "Selected papers of {F. W. J. Olver. Part I, II}", title = "Selected papers of {F. W. J. Olver. Part I, II}", volume = "7", publisher = pub-WORLD-SCI, address = pub-WORLD-SCI:adr, pages = "xviii + 520 (Part I); x + 521--1074 (Part II)", year = "2000", DOI = "https://doi.org/10.1142/4251", ISBN = "981-02-4106-2", ISBN-13 = "978-981-02-4106-3", MRclass = "01A75 (33-06 34-06 34E05 65-06)", MRnumber = "1759688", MRreviewer = "K. C. Gupta", bibdate = "Sun Nov 5 09:03:34 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib", series = "World Scientific Series in 20th Century Mathematics", URL = "https://www.worldscientific.com/worldscibooks/10.1142/4251", acknowledgement = ack-nhfb, author-dates = "Frank William John Olver (15 December 1924--23 April 2013)", tableofcontents = "The Asymptotic Solution of Linear Differential Equations of the Second Order for Large Values of a Parameter \\ The Asymptotic Expansion of Bessel Functions of Large Order \\ Uniform Asymptotic Expansions for Weber Parabolic Cylinder Functions of Large Orders \\ Error Bounds for the Liouville-Green (or WKB) Approximation \\ Error Analysis of Phase-Integral Methods \\ Numerical Solution of Second-Order Linear Difference Equations \\ Unsolved Problems in the Asymptotic Estimation of Special Functions \\ General Connection Formulae for Liouville-Green Approximations in the Complex Plane \\ Beyond Floating Point \\ On Stokes' Phenomenon and Converging Factors \\ Airy and Bessel Functions by Parallel Integration of ODEs \\ Hyperasymptotic Solutions of Second-Order Linear Differential Equations \\ On the Asymptotic and Numerical Solution of Linear Ordinary Differential Equations \\ and 42 other papers", } @Book{Lide:2001:CEM, editor = "D. R. Lide", booktitle = "A Century of Excellence in Measurements, Standards, and Technology: {A} Chronicle of Selected {NBS\slash NIST} Publications, 1901--2000", title = "A Century of Excellence in Measurements, Standards, and Technology: {A} Chronicle of Selected {NBS\slash NIST} Publications, 1901--2000", volume = "958", publisher = pub-NTIS, address = pub-NTIS:adr, pages = "ix + 386", year = "2001", bibdate = "Wed Oct 25 15:09:56 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib; https://www.math.utah.edu/pub/bibnet/authors/h/hestenes-magnus-r.bib; https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib; https://www.math.utah.edu/pub/bibnet/authors/m/metropolis-nicholas.bib; https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib; https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib; https://www.math.utah.edu/pub/bibnet/authors/t/taussky-todd-olga.bib; https://www.math.utah.edu/pub/bibnet/authors/t/todd-john.bib; https://www.math.utah.edu/pub/bibnet/authors/t/tukey-john-w.bib; https://www.math.utah.edu/pub/tex/bib/elefunt.bib", note = "NIST Special Publication", URL = "https://nvlpubs.nist.gov/nistpubs/sp958-lide/cntsp958old.htm", acknowledgement = ack-nhfb, subject-dates = "Magnus Rudolph Hestenes (13 February 1906--31 May 1991)", tableofcontents = "Introduction / David R. Lide / 002 \\ The Absolute Measurement of Inductance / A-M. Jeffrey, N. B. Belecki, and J. F. Mayo-Wells / 005 \\ Determination of the Constants of Total Radiation From a Black Body / Albert C. Parr / 007 \\ The Testing of Thermal Insulators / Robert R. Zarr / 010 \\ Precipitation Hardening of Metal Alloys / Sam Coriell / 014 \\ Construction and Operation of a Simple Homemade Radio Receiving Outfit / Brian Belanger / 016 \\ Methods for Standardizing and Testing Precision Gage Blocks / Ted Doiron / 019 \\ Recommended Minimum Requirements for Small Dwelling Construction / Joel P. Zingeser / 022 \\ Visibility of Radiant Energy / Jonathan E. Hardis / 025 \\ Test of the Severity of Building Fires / David Evans, Daniel Gross, and Richard Wright / 028 \\ Calculation of Compounds in Portland Cements / Geoffrey Frohnsdorff / 033 \\ Development of the Visual-Type Airway Radio-Beacon System / Hans J. Oser / 038 \\ A Hydrogen Isotope of Mass 2 / Walter J. Hamer and H. Steffen Peiser / 043 \\ Air Flow and Turbulence in Boundary Layers / Norman A. Mease and James E. Potzick / 046 \\ Thermodynamic Properties of Water and Steam for Power Generation / Allan H. Harvey and Johanna M. H. Levelt Sengers / 049 \\ Absolute Pressure Calibrations of Microphones / Victor Nedzelnitsky / 053 \\ Absolute Determination of the Ampere / E. R. Williams, R. E. Elmquist, N. B. Belecki, and J. F. Mayo-Wells / 056 \\ Radio Proximity Fuzes / John W. Lyons, E. A. Brown, and B. Fonoroff / 059 \\ Stability of Double-Walled Manganin Resistors / R. Dziuba, N. B. Belecki, and J. F. Mayo-Wells / 063 \\ Manufacture of Paper for War Maps and Other Applications / William K. Wilson / 066 \\ Transmission of Sound Waves in Gases at Low Pressures / Thomas M. Proctor / 069 \\ Atomic Energy Levels and Other Spectroscopic Data / Wolfgang L. Wiese / 073 \\ Iteration Method for the Solution of the Eigenvalue Problem of Linear Differential and Integral Operators / Dianne P. O'Leary / 077 \\ Methods of Conjugate Gradients for Solving Linear Systems / Dianne P. O'Leary / 081 \\ Computer Development at the National Bureau of Standards / Russell A. Kirsch / 086 \\ Thermal Converters as AC--DC Transfer Standards for Current and Voltage Measurements at Audio Frequencies / J. R. Kinard, Jr., N. B. Belecki, and J. F. Mayo-Wells / 090 \\ Selected Values of Chemical Thermodynamic Properties / David R. Lide / 093 \\ Applied Inorganic Analysis / Charles M. Beck II / 097 \\ The Diamond Anvil Pressure Cell / Gasper Piermarini and Stanley Block / 100 \\ Polymer Crystallization With Folded Chains / Freddy Khoury, John Hoffman, and Tom Davis / 104 \\ Cryogenic Engineering / Richard H. Kropschot / 107 \\ Reversal of the Parity Conservation Law in Nuclear Physics / Ralph P. Hudson / 111 \\ Effects of Configuration Interaction on Intensities and Phase Shifts / Charles W. Clark / 116 \\ Electromagnetic Waves in Stratified Media / D. A. Hill / 120 \\ ``Second Breakdown'' in Transistors / Harry A. Schafft / 123 \\ Stress Relaxation With Finite Strain / Elliot Kearsley and Barry Bernstein / 126 \\ Realistic Evaluation of the Precision and Accuracy of Instrument Calibration Systems / M. Carroll Croarkin / 129 \\ Experimental Statistics / M. Carroll Croarkin / 132 \\ Handbook of Mathematical Functions / Ronald F. Boisvert and Daniel W. Lozier / 135 \\ Paths, Trees, and Flowers / Christoph Witzgall, Ronald Boisvert, Geraldine Cheok, Saul Gass, Alan Goldman, and James Lawrence / 140 \\ Concepts, Terminology, and Notation for Optical Modulation / Calvin S. McCamy / 145 \\ Theory of Light Scattering in Fluids / Raymond D. Mountain / 149 \\ Scaling Analysis of Thermodynamic Properties in the Critical Region of Fluids / Raymond D. Mountain / 152 \\ Resonance Tunneling of Field Emitted Electrons Through Adsorbates on Metal Surfaces / J. W. Gadzuk / 155 \\ Quantitative Electron Probe Microanalysis / Dale E. Newbury / 160 \\ Limits for Qualitative Detection and Quantitative Determination / Richard M. Lindstrom / 164 \\ Traceability: An Evolving Concept / Brian Belanger, Stanley Rasberry, Ernest Garner, Carroll Brickencamp, and Charles Ehrlich / 167 \\ Code for Information Interchange / Martha M. Gray / 172 \\ Consumer Information Series / Walter G. Leight and W. Reeves Tilley / 174 \\ Theory of Isoperibol Calorimetry for Laser Power and Energy Measurement / Thomas R. Scott / 178 \\ Influence of Water on Crack Growth in Glass / Edwin Fuller, William Luecke, and Stephen Freiman / 181 \\ Phase Equilibria Diagrams / Ronald Munro, Howard McMurdie, Helen Ondik, and Terrell Vanderah / 184 \\ Determination of Reduced Cells in Crystallography / Alan D. Mighell, Vicky Lynn Karen, and Ronald Munro / 188 \\ Speed of Light From Direct Frequency and Wavelength Measurements / Donald B. Sullivan / 191 \\ Connecting Visible Wavelength Standards With X Rays and {gamma}Rays / Richard D. Deslattes / 194 \\ Laser Cooling of Atoms / D. B. Sullivan / 200 \\ Spin-Polarized Electrons / Daniel T. Pierce and Robert J. Celotta / 203 \\ Needs for Radioactivity Standards and Measurements in Different Fields / Bert Coursey / 209 \\ The Topografiner: An Instrument for Measuring Surface Microtopography / J. S. Villarurubia, R. D. Young, F. Scire, E. C. Teague, and J. W. Gadzuk / 214 \\ Electron-Stimulated Desorption / Ted Madey and John Yates / 219 \\ Photochemistry of Small Molecules / James R. McNesby and Ralph Klein / 224 \\ Role of Standard Reference Materials in Measurement Systems / Thomas E. Gills / 227 \\ Metrology and Standardization to Assist Industrializing Economies / Lewis M. Branscomb / 230 \\ Publications Taking Us Toward a Metric America / Ralph A. Richter / 234 \\ A New Approach to Manipulator Control: The Cerebellar Model Articulation Controller / James S. Albus / 237 \\ Three Dimensional Metrology / Ted Doiron / 241 \\ Initial Graphics Exchange Specifications / Sharon K. Kemmerer / 246 \\ Data Encryption Standard / William E. Burr / 250 \\ OMNIDATA and the Computerization of Scientific Data / John R. Rumble, Jr. / 254 \\ FORTRAN Test Programs / John Cugini / 258 \\ Design and Evaluation Criteria for Energy Conservation in New Buildings / Jim L. Heldenbrand / 260 \\ Computer Program for Heating and Cooling Loads in Buildings / George Walton / 266 \\ Methods for Testing and Rating the Performance of Heating and Air Conditioning Systems / James E. Hill / 270 \\ System for Fire Safety Evaluation of Health Care Facilities / Harold Nelson / 275 \\ Estimation of Rate of Heat Release by Means of Oxygen Consumption Measurements / Kenneth D. Steckler / 280 \\ Probability-Based Load Criteria for Structural Design / Bruce R. Ellingwood / 283 \\ Resistivity-Dopant Density Relationship for Phosphorus-Doped Silicon / W. R. Thurber / 289 \\ Critical Data for Critical Needs / John R. Rumble, Jr. / 291 \\ Materials at Low Temperatures / Fred Fickett / 294 \\ Optical Fiber Characterization / D. L. Franzen / 297 \\ Quasicrystals / Ronald Munro, Frank Gale, and Carol Handwerker / 300 \\ Protein Crystallography by Joint X-Ray and Neutron Diffraction / Norman F. Berk / 303 \\ Strain Effects in Superconducting Compounds / J. W. Ekin / 306 \\ Dental Research at the National Bureau of Standards / John Tesk and Ronald Munro / 309 \\ Handbook for Standard Reference Materials Users / Thomas E. Gills / 313 \\ A Practical Josephson Voltage Standard at One Volt / Y. Tang, N. B. Belecki, and J. F. Mayo-Wells / 315 \\ Plane-Wave Scattering-Matrix Theory of Antennas and Antenna-Antenna Interactions / A. G. Repjar and J. F. Mayo-Wells / 319 \\ The Automated Manufacturing Research Facility / James S. Albus / 322 \\ Submicrometer Linewidth Metrology / Michael T. Postek and Robert D. Larrabee / 328 \\ Observation of Atoms Laser-Cooled Below the Doppler Limit / Steven Rolston / 331 \\ Laser-Excited Hot-Electron Induced Desorption / J. W. Gadzuk / 334 \\ Measurement of the Universal Gas Constant Using an Acoustic Resonator / Michael R. Moldover / 339 \\ Thermal and Oxidative Degradation of Polymers / Takashi Kashiwagi / 344 \\ HAZARD I: Software for Fire Hazard Assessment / Richard Bukowski / 347 \\ Analysis of the Catastrophic Rupture of a Pressure Vessel / Tom Siewert / 350 \\ Curing Those Uncontrollable Fits of Interaction / Don Libes / 353 \\ Baldrige Criteria for Performance Excellence / Curt Reimann and Debbie Smyth / 357 \\ The Advanced Technology Program / Robert Sienkiewicz and Richard N. Spivack / 359 \\ NIST Manufacturing Extension Partnership / Anita O'Brien / 363 \\ Questions and Answers on Quality / Maureen Breitenberg / 366 \\ Uniformity in Weights and Measures Laws and Regulations / Joan Koenig / 368 \\ Certification of 10 $\mu$m Diameter Polystyrene Spheres (``Space Beads'') / Tom Lettieri / 371 \\ Bose--Einstein Condensation in a Dilute Atomic Vapor / James Faller / 375 \\ Index / David R. Lide / 379", } @Book{Olver:2010:NHM, editor = "Frank W. J. Olver and Daniel W. Lozier and Ronald F. Boisvert and Charles W. Clark", key = "NIST", booktitle = "{NIST} Handbook of Mathematical Functions", title = "{NIST} Handbook of Mathematical Functions", publisher = pub-CAMBRIDGE, address = pub-CAMBRIDGE:adr, pages = "xv + 951", year = "2010", ISBN = "0-521-19225-0", ISBN-13 = "978-0-521-19225-5", LCCN = "QA331 .N57 2010", bibdate = "Sat May 15 09:08:09 2010", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib; https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib; https://www.math.utah.edu/pub/bibnet/authors/w/wigner-eugene.bib; https://www.math.utah.edu/pub/tex/bib/elefunt.bib; https://www.math.utah.edu/pub/tex/bib/master.bib; https://www.math.utah.edu/pub/tex/bib/mathcw.bib", price = "US\$99.00", URL = "http://dlmf.nist.gov/; http://www.cambridge.org/9780521140638", abstract = "The NIST Handbook of Mathematical Functions supplies validated reference information in 36 chapters on a wide selection of important mathematical functions, covering the properties necessary for their use in scientific applications, together with general accounts of the mathematical methods necessary for advanced work with the functions.", acknowledgement = ack-nhfb, editor-dates = "Frank William John Olver (15 December 1924--23 April 2013)", remark = "Includes a DVD with a searchable PDF of each chapter.", tableofcontents = "1. Algebraic and analytic methods [Ranjan Roy, Frank W. J. Olver, Richard A. Askey and Roderick S. C. Wong] \\ 2. Asymptotic approximations [Frank W. J. Olver and Roderick S. C. Wong] \\ 3. Numerical methods [Nico M. Temme] \\ 4. Elementary functions [Ranjan Roy and Frank W. J. Olver] \\ 5. Gamma function [Richard A. Askey and Ranjan Roy] \\ 6. Exponential, logarithmic, sine and cosine integrals [Nico M. Temme] \\ 7. Error functions, Dawson's and Fresnel integrals [Nico M. Temme] \\ 8. Incomplete gamma and related functions [Richard B. Paris] \\ 9. Airy and related functions [Frank W. J. Olver] \\ 10. Bessel functions [Frank W. J. Olver and Leonard C. Maximon] \\ 11. Struve and related functions [Richard B. Paris] \\ 12. Parabolic cylinder functions [Nico M. Temme] \\ 13. Confluent hypergeometric functions [Adri B. Olde Daalhuis] \\ 14. Legendre and related functions [T. Mark Dunster] \\ 15. Hypergeometric function [Adri B. Olde Daalhuis] \\ 16. Generalized hypergeometric functions and Meijer G-function [Richard A. Askey and Adri B. Olde Daalhuis] \\ 17. q-Hypergeometric and related functions [George E. Andrews] \\ 18. Orthogonal polynomials [Tom H. Koornwinder, Roderick S. C. Wong, Roelof Koekoek and Rene F. Swarttouw] \\ 19. Elliptic integrals [Bille C. Carlson] \\ 20. Theta functions [William P. Reinhardt and Peter L. Walker] \\ 21. Multidimensional theta functions [Bernard Deconinck] \\ 22. Jacobian elliptic functions [William P. Reinhardt and Peter L. Walker] \\ 23. Weierstrass elliptic and modular functions [William P. Reinhardt and Peter L. Walker] \\ 24. Bernoulli and Euler polynomials [Karl Dilcher] \\ 25. Zeta and related functions [Tom M. Apostol] \\ 26. Combinatorial analysis [David M. Bressoud] \\ 27. Functions of number theory [Tom M. Apostol] \\ 28. Mathieu functions and Hill's equation [Gerhard Wolf] \\ 29. Lam{\'e} functions [Hans Volkmer] \\ 30. Spheroidal wave functions [Hans Volkmer] \\ 31. Heun functions [Brian D. Sleeman and Vadim Kuznetsov] \\ 32. Painlev{\'e} transcendents [Peter A. Clarkson] \\ 33. Coulomb functions [Ian J. Thompson] \\ 34. 3j, 6j, 9j symbols [Leonard C. Maximon] \\ 35. Functions of matrix argument [Donald St. P. Richards] \\ 36. Integrals with coalescing saddles [Michael V. Berry and Chris Howls]", }