Results 21 to 30 of about 4,179,714 (219)
$$\Gamma $$-evaluations of hypergeometric series
The Ramanujan Journal, 2022 AbstractIn this paper we explore special values of Gaussian hypergeometric functions in terms of products of Euler $$\Gamma $$ Γ -functions and exponential functions of linear functions of the hypergeometric parameters.
Frits Beukers, Jens Forsgård
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Independence polynomials and hypergeometric series [PDF]
Bulletin of the London Mathematical Society, 2021 Bulletin of the London Mathematical Society, 53 (6)
Radchenko, Danylo +1 more
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Gaussian Hypergeometric series and supercongruences [PDF]
Mathematics of Computation, 2009 Let p be an odd prime. In 1984, Greene introduced the notion of hypergeometric functions over finite fields. Special values of these functions have been of interest as they are related to the number of F_p points on algebraic varieties and to Fourier coefficients of modular forms.
Robert Osburn, Carsten Schneider
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SOME PROPERTIES OF HORN TYPE SECOND ORDER DOUBLE HYPERGEOMETRIC SERIES [PDF]
Vestnik KRAUNC: Fiziko-Matematičeskie Nauki, 2018 Horn [1931, Hypergeometrische Funktionen zweier Veranderlichen, Math. Ann.,105(1), 381-407], (corrections in Borngasser [1933, Uber hypergeometrische funkionen zweier Veranderlichen, Dissertation, Darmstadt], defined and investigated ten second order ...
Anvar Hasanov +2 more
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On digamma series convertible into hypergeometric series [PDF]
, 2023 Series containing the digamma function arise when calculating the parametric derivatives of the hypergeometric functions and play a role in evaluation of Feynman diagrams.
Çetinkaya, Asena, Karp, Dmitrii
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Contractions of 2D 2nd Order Quantum Superintegrable Systems and the Askey Scheme for Hypergeometric Orthogonal Polynomials [PDF]
, 2013 We show explicitly that all 2nd order superintegrable systems in 2 dimensions are limiting cases of a single system: the generic 3-parameter potential on the 2-sphere, S9 in our listing.
Willard Miller Jr. +8 more
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A General Family of q-Hypergeometric Polynomials and Associated Generating Functions
Mathematics, 2021 Basic (or q-) series and basic (or q-) polynomials, especially the basic (or q-) hypergeometric functions and the basic (or q-) hypergeometric polynomials are studied extensively and widely due mainly to their potential for applications in many areas of ...
Hari Mohan Srivastava, Sama Arjika
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Legendre inversions and Ultra-hypergeometric series identities [PDF]
, 2019 In this paper, we extension of hypergeometric series to obtain a new α-hypergeometric series, we establish three terminating Ultra-hypergeometric series identities, by means of Legendre inverse series relations.
Basen +3 more
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Some Summation Theorems for Generalized Hypergeometric Functions
Axioms, 2018 Essentially, whenever a generalized hypergeometric series can be summed in terms of gamma functions, the result will be important as only a few such summation theorems are available in the literature. In this paper, we apply two identities of generalized
Mohammad Masjed-Jamei, Wolfram Koepf
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Some Integrals Connected with a New Quadruple Hypergeometric Series
Universal Journal of Mathematics and Applications, 2020 Hypergeometric function of four variables was introduced by Bin-Saad and Younis. In the present paper a new integral representations of of Euler-type and Laplace-type involving double and triple hypergeometric series for these functions are derived.
Jihad Younis, Maged Bin-saad
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