内容

目次

1. Orientation; 2. Gamma, beta, zeta; 3. Second-order differential equations; 4. Orthogonal polynomials on an interval; 5. The classical orthogonal polynomials; 6. Semiclassical orthogonal polynomials; 7. Asymptotics of orthogonal polynomials: two methods; 8. Confluent hypergeometric functions; 9. Cylinder functions; 10. Hypergeometric functions; 11. Spherical functions; 12. Generalized hypergeometric functions; G-functions; 13. Asymptotics; 14. Elliptic functions; 15. Painlevé transcendents; Appendix A. Complex analysis; Appendix B. Fourier analysis; References; Index.