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<図書>
Special functions : a graduate text

責任表示 Richard Beals, Roderick Wong
シリーズ Cambridge studies in advanced mathematics ; 126
データ種別 図書
出版者 Cambridge, UK : Cambridge University Press
出版年 2010
本文言語 英語
大きさ ix, 456 p. ; 24 cm
概要 "The subject of special functions is often presented as a collection of disparate results, which are rarely organised in a coherent way. This book answers the need for a different approach to the subj...ct. The authors' main goals are to emphasise general unifying principles coherently and to provide clear motivation, efficient proofs, and original references for all of the principal results. The book covers standard material, but also much more, including chapters on discrete orthogonal polynomials and elliptic functions. The authors show how a very large part of the subject traces back to two equations - the hypergeometric equation and the confluent hypergeometric equation - and describe the various ways in which these equations are canonical and special. Providing ready access to theory and formulas, this book serves as an ideal graduate-level textbook as well as a convenient reference"--続きを見る
目次 Orientation
Gamma, beta, zeta
Second-order differential equations
Orthogonal polynomials
Discrete orthogonal polynomials
Confluent hypergeometric functions
Cylinder functions
Hypergeometric functions
Spherical functions
Asymptotics
Elliptic functions.
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所蔵情報


理系図3F 数理独自 033212010002832 BEAL/20/6 2010

書誌詳細

一般注記 Includes bibliographical references (p. 433-447) and indexes
著者標目 *Beals, Richard, 1938-
Wong, R. (Roderick), 1944-
件 名 LCSH:Functions, Special -- Textbooks  全ての件名で検索
分 類 LCC:QA351
DC22:515/.5
書誌ID 1001428978
ISBN 9780521197977
NCID BB02978204
巻冊次 ISBN:9780521197977
登録日 2010.09.08
更新日 2017.03.14

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