q-Series: Their Development and Application in Analysis, Number Theory, Combinatorics, Physics and Computer Algebra (Cbms Regional Conference Series in Mathematics) 0821807161, 9780821807163

This book integrates recent developments and related applications in $q$-series with a historical development of the fie

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English Pages 130 [144] Year 1986

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q-Series: Their Development and Application in Analysis, Number Theory, Combinatorics, Physics and Computer Algebra (Cbms Regional Conference Series in Mathematics)
0821807161, 9780821807163

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George E. Andrews

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q-Series: Their Development and Application in Analysis, Number Theory, Combinatorics, Physics, and Computer Algebra

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http://dx.doi.org/10.1090/cbms/066

Conference Boar d of the Mathematical Science s

CBMS Regional Conference Series in Mathematics Number 6 6

q-Series: Their Development and Application in Analysis, Number Theory, Combinatorics, Physics, and Computer Algebra George E. Andrews

Published for the Conference Board of the Mathematical Science s by the American Mathematical Societ y Providence, Rhode Island with support from th e National Science Foundatio n

Expository Lecture s from th e CBMS Regional Conferenc e held a t Arizon a Stat e Universit y May 1 98 5 Research supported in part by National Science Foundation Grant DMS-8503708. 2000 Mathematics Subject Classification. Primar y 05A1 9 , HPxx , 33Dxx , 33Cxx, 33F10, 82B20 . Library of Congress Cataloging-in-Publicatio n Dat a Andrews, George E. , 1 938 ^-series: thei r developmen t an d applicatio n i n analysis , number theory , combinatorics, physics , and compute r algebra . (Regional conferenc e serie s in mathematics, ISS N 0160-7642; no. 66 ) Bibliography: p . 1. 0 np + ?)

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the integral representation of the hypergeometric function (Whittake r and Watson [1, p . 293])