Results 11 to 20 of about 41 (35)

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]

open access: yes, 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)
core   +5 more sources

Hypergeometric Structures in Feynman Integrals [PDF]

open access: yes, 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 : RISC Report Series, 21-17 [PDF]

open access: yes, 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

Hypergeometric Structures in Feynman Integrals [PDF]

open access: yes, 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

Derivatives of Horn-type hypergeometric functions with respect to their parameters [PDF]

open access: yes, 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.
core   +1 more source

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]

open access: yes, 2013
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
core   +1 more source

Monodromy Properties of A-hypergeometric Functions [PDF]

open access: yes, 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  

Algebraic A-hypergeometric functions and their monodromy [PDF]

open access: yes, 2013
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]

open access: yes, 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
core   +1 more source
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