フランク・オルバー
特殊関数 (特に漸近展開) を専門とするイギリスの数学者
フランク・ウィリアム・ジョン・オルバー（Frank William John Olver、1924年12月15日 - 2013年4月23日）は特殊関数 (特に漸近展開) を専門とするイギリスの数学者である。
著書 編集
- Olver, Frank W. J. (1997) [1974], Asymptotics and special functions, AKP Classics, Wellesley, MA: A K Peters Ltd., ISBN 978-1-56881-069-0, MR 1429619
- Olver, Frank W. J. (2000), Selected papers of F. W. J. Olver. Part I, II, World Scientific Series in 20th Century Mathematics, 7, River Edge, NJ: World Scientific Publishing Co. Inc., ISBN 978-981-02-4106-3, MR 1759688
- Olver, Frank W. J.; Lozier, Daniel W.; Boisvert, Ronald F.; et al., eds. (2010), NIST Handbook of Mathematical Functions, en:Cambridge University Press, ISBN 978-0-521-19225-5
代表的な論文 編集
- Olver, F. W. (1954). The asymptotic expansion of Bessel functions of large order. Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences, 247(930), 328-368.
- Olver, F. W. (1954). The asymptotic solution of linear differential equations of the second order for large values of a parameter. Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences, 247(930), 307-327.
- Olver, F. W. J. (1961, October). Error bounds for the Liouville–Green (or WKB) approximation. In Mathematical Proceedings of the Cambridge Philosophical Society (Vol. 57, No. 4, pp. 790-810). en:Cambridge University Press.
- Olver, F. W. (1975). Second-order linear differential equations with two turning points. Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences, 278(1279), 137-174.
- Olver, F. W. (1956). The asymptotic solution of linear differential equations of the second order in a domain containing one transition point. Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences, 249(959), 65-97.
- Olver, F. W. (1958). Uniform asymptotic expansions of solutions of linear second-order differential equations for large values of a parameter. Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences, 250(984), 479-517.
関連文献 編集
- Wong, R. K., ed. (1990), Asymptotic and computational analysis. Proceedings of the International Symposium held in honor of Frank W. J. Olver's 65th birthday, Winnipeg, Manitoba, Lecture Notes in Pure and Applied Mathematics, 124, New York: Marcel Dekker Inc., ISBN 978-0-8247-8347-1