Results 11 to 20 of about 43 (36)
On Gaussian Hypergeometric Functions of Three Variables: Some New Integral Representations
Journal of Mathematics, Volume 2022, Issue 1, 2022., 2022 The present paper establishes several new integral representations of the Euler type and Laplace type for some Gauss hypergeometric functions of three variables. The main results are obtained by using the properties of Gamma and beta functions. The novel integral representations are carried out through ten hypergeometric functions of three variables ...
Maged G. Bin-Saad +5 more
wiley +1 more source
On Decomposition Formulas Related to the Gaussian Hypergeometric Functions in Three Variables
Journal of Function Spaces, Volume 2021, Issue 1, 2021., 2021 In this paper, by using certain inverse pairs of symbolic operators introduced by Choi and Hasanov in 2011, we establish several decomposition formulas associated with the Gaussian triple hypergeometric functions. Some transformation formulas for these functions have also been obtained.
Anvar Hasanov +3 more
wiley +1 more source
, 2019 This program has been imported from the CPC Program Library held at Queen's University Belfast (1969-2018) Abstract HYPERDIRE is a project devoted to the creation of a set of Mathematica based programs for the differential reduction of hypergeometric ...
Bytev, V (via Mendeley Data)
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Hypergeometric structures in Feynman integrals : RISC Report Series, 21-17
, 2021 Hypergeometric structures in single and multiscale Feynman integrals emerge in a wide class of topologies. Using integration-by-parts relations, associated master or scalar integrals have to be calculated.
Schneider, Carsten +2 more
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Decomposition Formulas for Triple q‐Hypergeometric Functions
International Journal of Combinatorics, Volume 2014, Issue 1, 2014., 2014 In the spirit of Hasanov, Srivastava, and Turaev (2006), we introduce new inverse operators together with a more general operator and find a summation formula for the last one. Based on these operators and the earlier known q‐analogues of the Burchnall‐Chaundy operators, we find 15 symbolic operator formulas.
Thomas Ernst, R. Yuster
wiley +1 more source
Hypergeometric Structures in Feynman Integrals
, 2023 Hypergeometric structures in single and multiscale Feynman integrals emerge in a wide class of topologies. Using integration-by-parts relations, associated master or scalar integrals have to be calculated.
Schneider, C. +5 more
core +1 more source
Hypergeometric Structures in Feynman Integrals
, 2021 Hypergeometric structures in single and multiscale Feynman integrals emerge in a wide class of topologies. Using integration-by-parts relations, associated master or scalar integrals have to be calculated.
Schneider, Carsten +2 more
core +1 more source
Monodromy Properties of A-hypergeometric Functions [PDF]
, 2021 Hypergeometric functions started out as generalizations of classical elementary functions like the square root, logarithm, or arcsine. And over the years many types of hypergeometric functions appeared, for example, Appell hypergeometric functions, Horn ...
Verschoor, Carlos Albertus
core
Derivatives of Horn-type hypergeometric functions with respect to their parameters
, 2017 We consider the derivatives of Horn hypergeometric functions of any number variables with respect to their parameters. The derivative of the function in $n$ variables is expressed as a Horn hypergeometric series of $n+1$ infinite summations depending on ...
Kniehl, B., Bytev, Vladimir, Moch, S.
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Certain Quadruple Hypergeometric Series and their Integral Representations [PDF]
, 2019 While investigating the Exton\u27s list of twenty one hyper-geometric functions of four variables and the Sharma\u27s and Parihar\u27s list of eighty three hyper-geometric functions of four variables, we noticed existence of new hyper-geometric series of
Bin-Saad, Maged, Younis, Jihad
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