A special asymptotic limit of a Kampe de Feriet hypergeometric function appearing in nonhomogeneous Coulomb problems
Journal Article
·
· Journal of Mathematical Physics
- Laboratoire de Physique Moleculaire et des Collisions, Universite Paul Verlaine-Metz, 57078 Metz (France)
- Departamento de Fisica, Universidad Nacional del Sur and Consejo Nacional de Investigaciones Cientificas y Tecnicas, 8000 Bahia Blanca, Buenos Aires (Argentina)
In the investigation of two-body Coulomb Schroedinger equations with some types of nonhomogeneities, the particular solution can be expressed in terms of a two-variable Kampe de Feriet hypergeometric function. The asymptotic limit of the latter--for both variables being large but their ratio being a bound constant--is required in order to extract relevant physical information from the solutions. In this report the mathematical limit is provided. For that purpose, a particular series representation of the hypergeometric function--in terms of products of Kummer and Gauss functions--is first derived.
- OSTI ID:
- 21501262
- Journal Information:
- Journal of Mathematical Physics, Journal Name: Journal of Mathematical Physics Journal Issue: 2 Vol. 52; ISSN JMAPAQ; ISSN 0022-2488
- Country of Publication:
- United States
- Language:
- English
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