Title: UNIFORM ASYMPTOTIC EXPANSIONS FOR HYPERGEOMETRIC FUNCTIONS WITH LARGE PARAMETERS I
Abstract: In this paper, we obtain an asymptotic expansion for the Gauss hypergeometric function 2 F 1 (a, b - λ; c + λ; -z), as |λ| → ∞. The expansion holds for fixed values of a, b, and c, and is uniformly valid for z in the domain | ph z| < π.
Publication Year: 2003
Publication Date: 2003-01-01
Language: en
Type: article
Indexed In: ['crossref']
Access and Citation
Cited By Count: 15
AI Researcher Chatbot
Get quick answers to your questions about the article from our AI researcher chatbot