The generalized confluent hypergeometric function
نویسندگان
چکیده
منابع مشابه
On the confluent hypergeometric function coming from the Pareto distribution
Making use of the confluent hypergeometric function we can obtain the Laplace-Stieltje transform of the Pareto distribution in the following form ζ(s) = hU(1; 1− h; s) = 1F1(1; 1− h; s)− Γ(1− h)s1F1(1 + h; 1 + h; s). About this transform, we obtain an identity, Γ(1 + h)|U(1, 1− h, s)|2 = ∫ ∞ 0 ∫ ∞ 0 λhe−λ−y |λ+ s|2 + λy 2000 Mathematical Subject Classification: 33C15, 60E07
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ژورنال
عنوان ژورنال: Proceedings of the Japan Academy, Series A, Mathematical Sciences
سال: 1992
ISSN: 0386-2194
DOI: 10.3792/pjaa.68.290