Basic Hypergeometric Series

by George Gasper, Mizan Rahman

Overview

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

Product Details

ISBN-13:	9780521833578
Publisher:	Cambridge University Press
Publication date:	10/04/2004
Series:	Encyclopedia of Mathematics and its Applications , #96
Edition description:	Revised Edition
Pages:	456
Product dimensions:	6.38(w) x 9.45(h) x 1.10(d)

Table of Contents

Foreword; Preface; 1. Basic hypergeometric series; 2. Summation, transformation, and expansion formulas; 3. Additional summation, transformation, and expansion formulas; 4. Basic contour integrals; 5. Bilateral basic hypergeometric series; 6. The Askey-Wilson q-beta integral and some associated formulas; 7. Applications to orthogonal polynomials; 8. Further applications; 9. Linear and bilinear generating functions for basic orthogonal polynomials; 10. q-series in two or more variables; 11. Elliptic, modular, and theta hypergeometric series; Appendices; References; Author index; Subject index; Symbol index.

Editorial Reviews

"...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

From the Publisher