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<図書>
Classical and quantum orthogonal polynomials in one variable

責任表示 Mourad E.H. Ismail ; with two chapters by Walter Van Assche
シリーズ Encyclopedia of mathematics and its applications / edited by G.-C. Rota ; v. 98
データ種別 図書
出版者 Cambridge : Cambridge University Press
出版年 2005
本文言語 英語
大きさ xviii, 706 p. : ill. ; 25 cm
概要 This revised and expanded new edition will continue to meet the needs for an authoritative, up-to-date, self-contained, and comprehensive account of the rapidly growing field of basic hypergeometric s...ries, or q-series. It contains almost all of the important summation and transformation formulas of basic hypergeometric series one needs to know for work in fields such as combinatorics, number theory, modular forms, quantum groups and algebras, probability and statistics, coherent-state theory, orthogonal polynomials, or approximation theory. Simplicity, clarity, deductive proofs, thoughtfully designed exercises, and useful appendices are among its strengths. The first five chapters cover basic hypergeometric series and integrals, whilst the next five are devoted to applications in various areas, including Askey-Wilson integrals and orthogonal polynomials, partitions in number theory, multiple series, orthogonal polynomials in several variables, and generating functions. Chapters 9-11 are new for the second edition, the final chapter containing a simplified version of the main elements of the theta and elliptic hypergeometric series as a natural extension of the single-base q-series. Elsewhere, errata have been corrected, some sections and exercises have been added to reflect recent developments, and the bibliography has been revised to maintain its comprehensiveness. Book jacket.続きを見る

所蔵情報


理系図3F 数理独自 023212005005563 ISMA/20/1 2005

書誌詳細

一般注記 Includes bibliographical references (p. [661]-696) and indexes
著者標目 *Ismail, Mourad, 1944-
Assche, Walter van, 1958-
件 名 LCSH:Orthogonal polynomials
分 類 LCC:QA404.5
DC22:515.55
書誌ID 1001242548
ISBN 0521782015
NCID BA74337933
巻冊次 ISBN:0521782015 ; XISBN:9780521782012
NBN GBA550678
登録日 2009.09.18
更新日 2009.11.02

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