Legendre Polynomial Expansions of Hypergeometric Functions with Applications

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.

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Bibliographische Detailangaben
Veröffentlicht in:	J. Math. Phys. (N. Y.) 11: 114-17(Jan 1970) 1970-01, Vol.11 (1), p.114-117
1. Verfasser:	Holdeman, Jonas T.
Format:	Artikel
Sprache:	eng
Schlagworte:	CHARGED PARTICLES CHARGED PARTICLES/scattering of, Legendre polynomial expansions of hypergeometric functions for COULOMB FIELD ELECTRIC POTENTIAL LEGENDRE FUNCTIONS MATHEMATICAL PHYSICS/hypergeometric functions in, Legendre polynomial expansions of MATHEMATICS N34500 -Physics (High Energy)-Scattering Theory PHASE SHIFT QUANTUM MECHANICS SCATTERING
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Beschreibung
Zusammenfassung:	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.
ISSN:	0022-2488 1089-7658
DOI:	10.1063/1.1665035