Basic Hypergeometric Series Encyclopedia of Mathematics and its Applications 2nd Edition by George Gasper, Mizan Rahman 9780521833578 0521833574

Basic Hypergeometric Series Encyclopedia of Mathematics and its Applications 2nd Edition by George Gasper, Mizan Rahman – Ebook PDF Instant Download/Delivery: 9780521833578, 0521833574

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Product details:

ISBN 10: 0521833574

ISBN 13: 9780521833578

Author: George Gasper, Mizan Rahman

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. 

Table of contents:

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

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Tags: George Gasper, Mizan Rahman, Hypergeometric, Basic