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Book Cover
E-book
Author Gasper, George

Title Basic hypergeometric series / George Gasper, Mizan Rahman
Edition Second edition
Published Cambridge, UK ; New York : Cambridge University Press, 2004

Copies

Description 1 online resource (xxvi, 428 pages)
Series Encyclopedia of mathematics and its applications ; volume 96
Encyclopedia of mathematics and its applications ; v. 96.
Contents Basic hypergeometric series -- Summation, transformation, and expansion formulas -- Additional summation, transformation, and expansion formulas -- Basic contour integrals -- Bilateral basic hypergeometric series -- The Askey-Wilson q-beta integral and some associated formulas -- Applications to orthogonal polynomials -- Further applications -- Linear and bilinear generating functions for basic orthogonal polynomials -- q-series in two or more variables -- Elliptic, modular, and theta hypergeometric series
Summary 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
Bibliography Includes bibliographical references and indexes
Notes Print version record
Subject Hypergeometric series.
MATHEMATICS -- Calculus.
MATHEMATICS -- Mathematical Analysis.
Hypergeometric series
Hypergeometrische Reihe
Hypergeometrische functies.
Série hypergéométrique.
Form Electronic book
Author Rahman, Mizan
ISBN 9781107089570
1107089573
9781107095922
1107095921
9780511526251
0511526253