Special Functions and Orthogonal Polynomials

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. Painleve transcendents Appendix A. Complex analysis Appendix B. Fourier analysis References Index.

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