A special asymptotic limit of a Kampe de Feriet hypergeometric function appearing in nonhomogeneous Coulomb problems
L. U. ANCARANI AND G. GASANEO
JOURNAL OF MATHEMATICAL PHYSICS
AMER INST PHYSICS
Lugar: New York; Año: 2011 vol. 52 p. 221081 - 221086
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.