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

LEGENDRE POLYNOMIAL
PHASE SHIFT
SCATTERING THEORY
QUANTUM MECHANICS
HYPERGEOMETRIC FUNCTION
CHARGED PARTICLES

This publication has 3 references indexed in Scilit:

A method for the approximation of functions defined by formal series expansions in orthogonal polynomials
Mathematics of Computation, 1969
Remarks on Charged-Particle Scattering
Physical Review B, 1965
The Elastic Scattering of Fast Electrons by Heavy Elements
Proceedings of the American Academy of Arts and Sciences, 1940