Some infinite series of products of Legendre and gamma functions
- 1 May 1983
- journal article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 24 (5) , 1054-1057
- https://doi.org/10.1063/1.525828
Abstract
We derive closed expressions for some infinite series of products of Legendre functions and gamma functions. A particular series has been used to obtain the partial-wave projected quantum mechanical Coulomb transition matrix in closed analytic form for all partial waves, l=0, 1,⋅⋅⋅.Keywords
This publication has 2 references indexed in Scilit:
- Fractional Derivatives and Special FunctionsSIAM Review, 1976
- A Further Extension of the Leibniz Rule to Fractional Derivatives and Its Relation to Parseval’s FormulaSIAM Journal on Mathematical Analysis, 1972