Basic hypergeometric series
著者
書誌事項
Basic hypergeometric series
(Encyclopedia of mathematics and its applications / edited by G.-C. Rota, v. 35)
Cambridge University Press, 1990
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注記
Bibliography: p. 249-276
Includes indexes
内容説明・目次
内容説明
Thorough and up-to-date, this book is an authoritative account of basic hypergeometric series and their applications. The authors provide explicit and detailed information about summation, transformation and expansion formulas and contour integrals. They relate the general results to other important mathematical functions and combinatorial questions.
目次
- 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
- Appendices
- References
- Author index
- Symbol index
- Subject index.
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