内容

目次

1. The Gamma and Beta functions; 2. The hypergeometric functions; 3.Hypergeometric transformations and identities; 4. Bessel functions andconfluent hypergeometric functions; 5. Orthogonal polynomials; 6. Specialorthogonal transformations; 7. Topics in orthogonal polynomials; 8. TheSelberg integral and its applications; 9. Spherical harmonics; 10.Introduction to q-series; 11. Partitions; 12. Bailey chains; Appendix 1.Infinite products; Appendix 2. Summability and fractional integration;Appendix 3. Asymptotic expansions; Appendix 4. Euler-Maclaurin summationformula; Appendix 5. Lagrange inversion formula; Appendix 6. Series solutionsof differential equations.