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General Linear Transformations of Hypergeometric Functions

Mathematical Notes, 2001
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Lie Theory and Generalizations of the Hypergeometric Functions

SIAM Journal on Applied Mathematics, 1973
In this paper we use the differential recurrence relations satisfied by the ${}_2 F_1 $ and their generalizations the${}_p F_q $ and Lauricella functions to associate a Lie algebra (dynamical symmetry algebra) with each of these families of special functions. We demonstrate that the representation theory of the Lie algebras yields a variety of addition
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Extension of Pochhammer symbol, generalized hypergeometric function and τ-Gauss hypergeometric function

Analysis
Abstract We introduce new extension of the extended Pochhammer symbol and gamma function by using the extended Mittag-Leffler function. We also present extension of the generalized hypergeometric function as well as some of their special cases by using this extended Pochhammer symbol.
Komal Singh Yadav   +2 more
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Generalized Hypergeometric Functions

Mathematics of Computation, 1966
Y. L. L., Lucy Joan Slater
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GENERALIZED HYPERGEOMETRIC FUNCTIONS

Journal of the London Mathematical Society, 1968
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Generalized Hypergeometric Functions

2018
K Srinivasa Rao   +1 more
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Asymptotical formulas for Gaussian and generalized hypergeometric functions

Applied Mathematics and Computation, 2016
Miao-Kun Wang   +2 more
exaly  

Generalized hypergeometric functions

USSR Computational Mathematics and Mathematical Physics, 1970
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