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Generating functions for the generalized Gauss hypergeometric functions
Applied Mathematics and Computation, 2014zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Praveen Agarwal +2 more
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GG Functions and their Relations to General Hypergeometric Functions
Letters in Mathematical Physics, 1997The aim of this paper is to give a new approach to hypergeometric functions. According to this approach, hypergeometric functions are defined as solutions of GG-systems which are collections of linear relations for a function \(f(a,\alpha)\) of \(a,\alpha \in {\mathbb C}^N\), its first partial derivative with respect to \(a_i\) and shifts with respect ...
Gelfand, I. M., Graev, M. I.
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Univalent and Starlike Generalized Hypergeometric Functions
Canadian Journal of Mathematics, 1987A single-valued function f(z) is said to be univalent in a domain if it never takes on the same value twice, that is, if f(z1) = f(z2) for implies that z1 = z2. A set is said to be starlike with respect to the line segment joining w0 to every other point lies entirely in . If a function f(z) maps onto a domain that is starlike with respect to w0,
Owa, Shigeyoshi, Srivastava, H. M.
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Generating functions of the hypergeometric functions
Journal of Mathematical Physics, 1974The Lie algebra, which was introduced in a previous paper to treat the hypergeometric functions by Lie theory techniques, is used to derive generating functions of the hypergeometric functions. Several generating functions are obtained from the theory of multiplier representations. Weisner's method is also applied, giving another generating function.
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