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Special functions /
| Autor principal: | |
|---|---|
| Otros Autores: | , |
| Formato: | Libro |
| Lenguaje: | English |
| Publicado: |
Cambridge, UK :
Cambridge University Press;
2000.
|
| Edición: | First paperback edition. |
| Colección: | Encyclopedia of mathematics and its applications ;
71 |
| Materias: |
Tabla de Contenidos:
- 1. The Gamma and Beta functions; 2. The hypergeometric functions; 3. Hypergeometric transformations and identities; 4. Bessel functions and confluent hypergeometric functions; 5. Orthogonal polynomials; 6. Special orthogonal transformations; 7. Topics in orthogonal polynomials; 8. The Selberg 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 summation formula; Appendix 5. Lagrange inversion formula; Appendix 6. Series solutions of differential equations.