Special functions
George E. Andrews, Richard Askey, Ranjan Roy.
Cambridge, UK : Cambridge University Press, ©1999.
xvi, 664 págs. ; 25 cm.
Serie: Encyclopedia of mathematics and its applications ; v. 71
ISBN: 0521789885
Bibliografía: p. 641-653.
Reseña: MathSciNet, 2000g:33001
Contenido
- 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 polynomials
- 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.