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.
| ISBN: | 9780521833578 |
| Publication date: | 4th October 2004 |
| Author: | George Northwestern University, Illinois Gasper, Mizan Carleton University, Ottawa Rahman |
| Publisher: | Cambridge University Press |
| Format: | Hardback |
| Pagination: | 456 pages |
| Series: | Encyclopedia of Mathematics and its Applications |
| Genres: |
Calculus and mathematical analysis |
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.
Basic Hypergeometric Series features in the following genres: Calculus and mathematical analysis
Basic Hypergeometric Series is available in Hardback
Basic Hypergeometric Series was written by George Northwestern University, Illinois Gasper, Mizan Carleton University, Ottawa Rahman and published by Cambridge University Press
Basic Hypergeometric Series has 456 pages
Yes it is part of Encyclopedia of Mathematics and its Applications series
£169.20