Basic Hypergeometric Series (Encyclopedia of Mathematics and its Applications, Series Number 96) - Hardcover

Gasper, George; Rahman, Mizan

Hardcover

ISBN 10: 0521833574 ISBN 13: 9780521833578

Publisher: Cambridge University Press, 2004

Synopsis

This updated edition will continue to meet the needs for an authoritative comprehensive analysis of the rapidly growing field of basic hypergeometric series, or q-series. It includes deductive proofs, exercises, and useful appendices. Three new chapters have been added to this edition covering q-series in two and more variables: linear- and bilinear-generating functions for basic orthogonal polynomials; and summation and transformation formulas for elliptic hypergeometric series. In addition, the text and bibliography have been expanded to reflect recent developments. First Edition Hb (1990): 0-521-35049-2

About this title

Book Description:

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. Chapters 9-11 are new for the second edition. 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.

Review:

"...the definitive work on the subject. The book is remarkable in many ways....it is clearly and carefully written." SIAM Review

"This is an even better book than the first edition for several reasons: the up-to-date bibliography, the new material, and the opportunity to fix all the known errata...Gasper and Rahman have, once again, done admirably."
MAA Reviews, Warren Johnson, Connecticut College

"The extensive bibliography has been updated to include recent work. At 48 pages, it is almost double the length of the bibliography of the first edition. The authors have succeeded in bringing a vast body of knowledge up to date in this compact, useful an highly readable book."
Shaun Cooper, Mathematical Reviews

About this edition

• Publisher: Cambridge University Press
• Publication date: 2004
• ISBN 10: 0521833574
• ISBN 13: 9780521833578
• Binding: Hardcover
• Edition number: 2
• Number of pages: 456