Olver, F. W. J. Resurgence in difference equations, with an application to Legendre functions. (English) Zbl 1097.39500 Dunkl, Charles (ed.) et al., Special functions. Proceedings of the international workshop on special functions – asymptotics, harmonic analysis and mathematical physics, Hong Kong, China, June 21–25, 1999. Singapore: World Scientific (ISBN 981-02-4393-6/hbk). 221-235 (2000). MSC: 39A12 41A60 PDFBibTeX XMLCite \textit{F. W. J. Olver}, in: Special functions. Proceedings of the international workshop on special functions -- asymptotics, harmonic analysis and mathematical physics, Hong Kong, China, June 21--25, 1999. Singapore: World Scientific. 221--235 (2000; Zbl 1097.39500) Full Text: DOI
Fabijonas, Bruce R.; Olver, F. W. J. On the reversion of an asymptotic expansion and the zeros of the Airy functions. (English) Zbl 1053.33003 SIAM Rev. 41, No. 4, 762-773 (1999). MSC: 33C10 33F05 41A60 65D20 PDFBibTeX XMLCite \textit{B. R. Fabijonas} and \textit{F. W. J. Olver}, SIAM Rev. 41, No. 4, 762--773 (1999; Zbl 1053.33003) Full Text: DOI
Olver, Frank W. J. Asymptotics and special functions. Reprint. (English) Zbl 0982.41018 AKP Classics. Wellesley, MA: A K Peters. xviii, 572 p. (1997). MSC: 41A60 41-02 34E05 33-02 PDFBibTeX XMLCite \textit{F. W. J. Olver}, Asymptotics and special functions. Reprint. Wellesley, MA: A K Peters (1997; Zbl 0982.41018)
Olver, F. W. J. On an asymptotic expansion of a ratio of gamma functions. (English) Zbl 0848.33001 Proc. R. Ir. Acad., Sect. A 95, No. 1, 5-9 (1995). Reviewer: N.M.Temme (Amsterdam) MSC: 33B15 41A60 PDFBibTeX XMLCite \textit{F. W. J. Olver}, Proc. R. Ir. Acad., Sect. A 95, No. 1, 5--9 (1995; Zbl 0848.33001)
Olver, F. W. J. The generalized exponential integral. (English) Zbl 0821.33001 Zahar, R. V. M. (ed.), Approximation and computation: a Festschrift in honor of Walter Gautschi. Proceedings of the Purdue conference, West Lafayette, IN, USA, December 2-5, 1993. Boston, US: Birkhäuser. ISNM, Int. Ser. Numer. Math. 119, 497-510 (1994). Reviewer: N.M.Temme (Amsterdam) MSC: 33B20 41A60 PDFBibTeX XMLCite \textit{F. W. J. Olver}, ISNM, Int. Ser. Numer. Math. 119, 497--510 (1994; Zbl 0821.33001)
Olver, F. W. J. Exponentially-improved asymptotic solutions of ordinary differential equations. (English) Zbl 0791.34051 Sleeman, B. D. (ed.) et al., Ordinary and partial differential equations. Volume IV. Proceedings of the twelfth Dundee conference held at the University of Dundee, UK, June 22-26, 1992. In honour of Professor D. S. Jones. Harlow: Longman Scientific & Technical. Pitman Res. Notes Math. Ser. 289, 238-247 (1993). Reviewer: S.Mazanik (Minsk) MSC: 34E05 34M99 PDFBibTeX XMLCite \textit{F. W. J. Olver}, Pitman Res. Notes Math. Ser. 289, 238--247 (1993; Zbl 0791.34051)
Olver, F. W. J. Converging factors. (English) Zbl 0784.33002 Martin, P. A. (ed.) et al., 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, held in Manchester, UK, in March 1990. Cambridge etc.: Cambridge University Press. 54-68 (1992). Reviewer: H.Stahl (Berlin) MSC: 33-06 41A60 PDFBibTeX XMLCite \textit{F. W. J. Olver}, in: 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, held in Manchester, UK, in March 1990. Cambridge etc.: Cambridge University Press. 54--68 (1992; Zbl 0784.33002)
Olver, F. W. J. Uniform, exponentially improved, asymptotic expansions for the confluent hypergeometric function and other integral transforms. (English) Zbl 0738.41030 SIAM J. Math. Anal. 22, No. 5, 1475-1489 (1991). Reviewer: C.M.Joshi (Udaipur) MSC: 41A60 33C05 PDFBibTeX XMLCite \textit{F. W. J. Olver}, SIAM J. Math. Anal. 22, No. 5, 1475--1489 (1991; Zbl 0738.41030) Full Text: DOI
Olver, F. W. J. Uniform, exponentially improved, asymptotic expansions for the generalized exponential integral. (English) Zbl 0743.41025 SIAM J. Math. Anal. 22, No. 5, 1460-1474 (1991). Reviewer: C.M.Joshi (Udaipur) MSC: 41A60 33E99 PDFBibTeX XMLCite \textit{F. W. J. Olver}, SIAM J. Math. Anal. 22, No. 5, 1460--1474 (1991; Zbl 0743.41025) Full Text: DOI
Olver, Frank W. J. On Stokes’ phenomenon and converging factors. (English) Zbl 0704.33001 Asymptotic and computational analysis. Conference in honor of Frank W.J. Olver’s 65th birthday, Proc. Int. Symp., Winnipeg/Can. 1989, Lect. Notes Pure Appl. Math. 124, 329-355 (1990). Reviewer: N.M.Temme MSC: 33B20 30E10 33C10 41A60 33C20 PDFBibTeX XML
Olver, F. Prudnikov, A. P. (ed.) Asymptotics and special functions. (Asimptotika i spetsial’nye funktsii). Transl. from the English by Yu. A. Brychkov. Transl. ed. by A. P. Prudnikov. (Asimptotika i spetsial’nye funktsii.) (Russian) Zbl 0712.41006 Moskva: Nauka. 528 p. (1990). MSC: 41A60 41-02 33-02 34-02 34E05 PDFBibTeX XMLCite \textit{F. Olver} and \textit{A. P. Prudnikov} (ed.), Asimptotika i spetsial'nye funktsii (Russian). Transl. from the English by Yu. A. Brychkov. Transl. ed. by A. P. Prudnikov. Moskva: Nauka (1990; Zbl 0712.41006)
Olver, F. W. J. Whittaker functions with both parameters large: uniform approximations in terms of parabolic cylinder functions. (English) Zbl 0446.33008 Proc. R. Soc. Edinb., Sect. A 86, 213-234 (1980). MSC: 33C05 34E20 41A60 33C10 PDFBibTeX XMLCite \textit{F. W. J. Olver}, Proc. R. Soc. Edinb., Sect. A, Math. 86, 213--234 (1980; Zbl 0446.33008) Full Text: DOI
Olver, F. W. J. Asymptotic approximations and error bounds. (English) Zbl 0439.41024 SIAM Rev. 22, 188-203 (1980). MSC: 41A60 33C10 41A25 65B05 PDFBibTeX XMLCite \textit{F. W. J. Olver}, SIAM Rev. 22, 188--203 (1980; Zbl 0439.41024) Full Text: DOI
Olver, F. W. J. Unsolved problems in the asymptotic estimation of special functions. (English) Zbl 0326.33001 Theory Appl. spec. Funct., Proc. adv. Semin., Madison 1975, 99-142 (1975). MSC: 33-02 33E99 41A60 PDFBibTeX XML
Olver, F. W. J. Introduction to asymptotics and special functions. (English) Zbl 0308.41023 New York - London: Academic Press, a subsidiary of Harcourt Brace Jovanovich, Publishers. XII, 297 p. $ 10.00; £4.80 (1974). MSC: 41A60 34A12 34E05 41-01 33C05 33C10 33B15 PDFBibTeX XML
Olver, F. W. J. Asymptotics and special functions. (English) Zbl 0303.41035 Computer Science and Applied Mathematics. New York - London: Academic Press, a subsidiary of Harcourt Brace Jovanovich, Publishers. XVI, 572 p. $ 39.50 (1974). MSC: 41A60 41-02 34A12 34E05 33-02 PDFBibTeX XML