Basic Hypergeometric Series

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ISBN-13:
9780521833578
Veröffentl:
2004
Einband:
HC gerader Rücken kaschiert
Erscheinungsdatum:
21.10.2004
Seiten:
456
Autor:
George Gasper
Gewicht:
847 g
Format:
240x161x29 mm
Sprache:
Englisch
Beschreibung:
Significant revision of classic reference in special functions.
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.
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.

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