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Generalized associated Legendre functions and their applications /
The various types of special functions have become essential tools for scientists and engineers. One of the important classes of special functions is of the hypergeometric type. It includes all classical hypergeometric functions such as the well-known Gaussian hypergeometric functions, the Bessel, M...
| Clasificación: | Libro Electrónico |
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| Autor principal: | |
| Otros Autores: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Singapore ; River Edge, N.J. :
World Scientific,
©2001.
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| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- 1. A general information on Legendre functions
- 2. The generalized associated Legendre functions
- 3. The series representations of the generalized associated Legendre functions
- 4. Relations between different solutions of the generalized Legendre equation. Wronskians of linearly independent solutions
- 5. Relations between contiguous generalized associated Legendre functions
- 6. Differential operators generated by the generalized associated Legendre equation
- 7. Asymptotic formulas for the generalized associated Legendre functions in a neighborhood of singular points
- 8. Asymptotic representations of the generalized associated Legendre functions as functions of parameters
- 9. Integral representations of the generalized associated Legendre functions of the first kind
- 10. Integral representations of the generalized associated Legendre functions of the second kind
- 11. Zeros of the generalized associated Legendre functions
- 12. Connection of the generalized associated Legendre functions with the Jacobi functions
- 13. Integral relations and series with the generalized associated Legendre functions
- 14. Relations between the generalized associated Legendre functions, Bessel functions, elliptic integrals and incomplete B-functions
- 15. Integral transforms with the generalized associated Legendre functions.