Asymptotics of the Gauss hypergeometric function with large parameters, I
نویسندگان
چکیده
منابع مشابه
Asymptotics of the Gauss Hypergeometric Function with Large Parameters, I
We obtain asymptotic expansions for the Gauss hypergeometric function F(a+ ε1λ ,b+ ε2λ ;c+ ε3λ ;z) as |λ | →∞ when the ε j are finite by an application of the method of steepest descents, thereby extending previous results corresponding to ε j = 0, ±1 . By means of connection formulas satisfied by F it is possible to arrange the above hypergeometric function into three basic groups. In Part I w...
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ژورنال
عنوان ژورنال: Journal of Classical Analysis
سال: 2013
ISSN: 1848-5987
DOI: 10.7153/jca-02-15