HYPERgeometric functions DIfferential REduction (HYPERDIRE): MATHEMATICA based packages for differential reduction of generalized hypergeometric functions: F D and F S Horn-type hypergeometric functions of three variables [PDF]
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 [PDF]
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
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Hypergeometric structures in Feynman integrals : RISC Report Series, 21-17 [PDF]
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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Hypergeometric Structures in Feynman Integrals [PDF]
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
Derivatives of Horn-type hypergeometric functions with respect to their parameters [PDF]
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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HYPERDIRE: HYPERgeometric functions DIfferential REduction: MATHEMATICA based packages for differential reduction of generalized hypergeometric functions: $F_D$ and $F_S$ Horn-type hypergeometric functions of three variables [PDF]
HYPERDIRE is a project devoted to the creation of a set of Mathematica based programs for the differential reduction of hypergeometric functions.
Bytev, Vladimir V. +2 more
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Monodromy Properties of A-hypergeometric Functions [PDF]
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
Algebraic A-hypergeometric functions and their monodromy [PDF]
The study of hypergeometric functions started in 1813 with a paper by Gauss. Hypergeometric functions are generalizations of classical elementary functions such as arcsin and log.
Sub Algebra,Geometry&Mathem. Logic begr. +2 more
core
Certain Quadruple Hypergeometric Series and their Integral Representations [PDF]
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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On the Triple Lauricella–Horn–Karlsson q-Hypergeometric Functions
Axioms, 2020Thomas Ernst, Ernst Thomas
exaly

