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|a Gasper, George.
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|a Basic hypergeometric series /
|c George Gasper, Mizan Rahman.
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|a Second edition.
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|a Cambridge, UK ;
|a New York :
|b Cambridge University Press,
|c 2004.
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|a 1 online resource (xxvi, 428 pages)
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|a Encyclopedia of mathematics and its applications ;
|v volume 96
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|a Includes bibliographical references and indexes.
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|a 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.
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|a 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.
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|a Print version record.
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|a Hypergeometric series.
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|a Séries hypergéométriques.
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|2 bisacsh
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|a MATHEMATICS
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|a Hypergeometric series.
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|a Hypergeometrische Reihe
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|a Hypergeometrische functies.
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|a Série hypergéométrique.
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|a Rahman, Mizan.
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8 |
|i Print version:
|a Gasper, George.
|t Basic hypergeometric series.
|b Second edition
|z 0521833574
|w (DLC) 2004045686
|w (OCoLC)54677790
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830 |
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|a Encyclopedia of mathematics and its applications ;
|v v. 96.
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