Mellin transforms of a generalization of Legendre polynomials
β Scribed by Michael K. Oberle; Steven L. Scott; George T. Gilbert; Rhonda L. Hatcher; David F. Addis
- Publisher
- Elsevier Science
- Year
- 1993
- Tongue
- English
- Weight
- 195 KB
- Volume
- 45
- Category
- Article
- ISSN
- 0377-0427
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
## Abstract It is shown that Mellin transforms of __p__βadic Whittaker functions exist for generic characters. For good choices of vectors they are rational functions. For class one vectors they can be calculated explicitly. It turns out that they are automorphic __L__βfactors times normalization f
In this paper, a generalized formula for the definite integral of three associated Legendre polynomials of the first kind that arises in various physical applications is given in terms of the 3F2 hypergeometric function and the 3 -j symbols. The special case, when the integral reduces to a particula