ON THE GENERALIZED GAUSS HYPERGEOMETRIC SYSTEM OF THREE VARIABLES
نویسندگان
چکیده
منابع مشابه
Certain Properties of the Generalized Gauss Hypergeometric Functions
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Formulas and identities involving many well-known special functions (such as the Gamma and Beta functions, the Gauss hypergeometric function, and so on) play important rôles in themselves and in their diverse applications. Various families of generating functions have been established by a number of authors in many different ways. In this paper, we aim at establishing some (presumably new) gene...
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چکیده ندارد.
15 صفحه اولDegenerate Gauss hypergeometric functions
Throughout the paper, we denote this equation by E(a, b, c). Since Kummer we know that in general there are 24 hypergeometric series which express solutions of E(a, b, c). The subject of this paper is Gauss hypergeometric functions when some or all of the numbers a, b, c, c − a, c − b, a − b, c − a − b are integers. We refer to these functions and to corresponding hypergeometric equations as de...
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ژورنال
عنوان ژورنال: Kyushu Journal of Mathematics
سال: 2004
ISSN: 1340-6116
DOI: 10.2206/kyushujm.58.105