Legendre Polynomial Expansions of Hypergeometric Functions with Applications
- 1 January 1970
- journal article
- research article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 11 (1), 114-117
- https://doi.org/10.1063/1.1665035
Abstract
The expansion of a class of hypergeometric functions in a series of Legendre polynomials is derived. The range of validity and the meaning to be attached to the sums is investigated. Several applications to the problem of the scattering of charged particles are presented.Keywords
This publication has 3 references indexed in Scilit:
- A method for the approximation of functions defined by formal series expansions in orthogonal polynomialsMathematics of Computation, 1969
- Remarks on Charged-Particle ScatteringPhysical Review B, 1965
- The Elastic Scattering of Fast Electrons by Heavy ElementsProceedings of the American Academy of Arts and Sciences, 1940