George Gasper (Illinois Northwestern University), Mizan Rahman (Ottawa Carleton University)

Basic Hypergeometric Series

• Gebundenes Buch

Produktbeschreibung

This revised and expanded new edition will continue to meet the needs for an authoritative, up-to-date, self contained and comprehensive account of the rapidly growing field of basic hypergeometric series, or q-series. Some sections and exercises have been added and the bibliography has been revised to maintain its comprehensiveness.

Produktdetails

• Encyclopedia of Mathematics and its Applications
• Verlag: Cambridge University Press
• 2 Revised edition
• Seitenzahl: 456
• Erscheinungstermin: 21. Oktober 2004
• Englisch
• Abmessung: 240mm x 161mm x 29mm
• Gewicht: 848g
• ISBN-13: 9780521833578
• ISBN-10: 0521833574
• Artikelnr.: 21029760

Inhaltsangabe

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.