Description |
1 online resource (xxvi, 428 pages) |
Series |
Encyclopedia of mathematics and its applications ; volume 96 |
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Encyclopedia of mathematics and its applications ; v. 96.
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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.
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MATHEMATICS -- Calculus.
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MATHEMATICS -- Mathematical Analysis.
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Hypergeometric series
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Hypergeometrische Reihe
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Hypergeometrische functies.
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Série hypergéométrique.
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Form |
Electronic book
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Author |
Rahman, Mizan
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ISBN |
9781107089570 |
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1107089573 |
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9781107095922 |
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1107095921 |
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9780511526251 |
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0511526253 |
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