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Basic Hypergeometric Series

Basic Hypergeometric Series

2nd Edition

$220.00 (C)

Part of Encyclopedia of Mathematics and its Applications

  • Date Published: October 2004
  • availability: Available
  • format: Hardback
  • isbn: 9780521833578

$ 220.00 (C)
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About the Authors
  • 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

    • Major revision of a modern classic, by world experts in the subject
    • Fairly elementary and 100s of exercises so suited for graduate students and users of special functions, e.g. in approximation theory, statistical mechanics, and in other related fields
    • Will continue to be the definitive reference work
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    Reviews & endorsements

    "...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

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    Product details

    • Edition: 2nd Edition
    • Date Published: October 2004
    • format: Hardback
    • isbn: 9780521833578
    • length: 456 pages
    • dimensions: 234 x 156 x 25 mm
    • weight: 0.81kg
    • contains: 3 b/w illus. 296 exercises
    • availability: Available
  • 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.

  • Authors

    George Gasper, Northwestern University, Illinois

    Mizan Rahman, Carleton University, Ottawa

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