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Basic Hypergeometric Series. 2nd Revised edition.
・ISBN 978-0-521-83357-8 hard GB£ 188.00
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電子版あり 大学・学術機関向け電子ブック（eBook）ISBN 978-0-511-52625-1
| 著者・編者 | Gasper, George / Rahman, Mizan, |
|---|---|
| シリーズ | Encyclopedia of Mathematics and its Applications |
| 出版社 | (Cambridge University Press, UK) |
| 出版年月 | 2004 |
| ページ数 | 456 pp. |
| 言語 | ENG |
| ニュース番号 | ＜M25-15966＞ |
解説
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 series, or q-series. 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. Some sections and exercises have been added to reflect recent developments, and the Bibliography has been revised to maintain its comprehensiveness.