Basic Hypergeometric Series

Klappentext Significant revision of classic reference in special functions. Zusammenfassung 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. Inhaltsverzeichnis 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.

Product details

• Authors: George Gasper, George (Northwestern University Gasper, George Rahman Gasper, Gasper George, Mizan Rahman
• Publisher: Cambridge University Press ELT
• Languages: English
• Product format: Hardback
• Released: 04.10.2004
• EAN: 9780521833578
• ISBN: 978-0-521-83357-8
• No. of pages: 456
• Series: Encyclopedia of Mathematics an; Encyclopedia of Mathematics an
• Subject: Natural sciences, medicine, IT, technology > Mathematics > Analysis