Results 1 to 10 of about 41 (35)
Algebraicity of the Appell–Lauricella and Horn hypergeometric functions
Journal of Differential Equations, 2012 24 pages, 6 tables, 2 ...
Sub Algebra,Geometry&Mathem. Logic begr. +3 more
exaly +8 more sources
On the Triple Lauricella–Horn–Karlsson q-Hypergeometric Functions
Axioms, 2020 The Horn–Karlsson approach to find convergence regions is applied to find convergence regions for triple q-hypergeometric functions. It turns out that the convergence regions are significantly increased in the q-case; just as for q-Appell and q ...
Thomas Ernst
doaj +2 more sources
Derivatives of any Horn-type hypergeometric functions with respect to their parameters
Nuclear Physics B, 2020 We consider the derivatives of Horn hypergeometric functions of any number of variables with respect to their parameters. The derivative of such a function of n variables is expressed as a Horn hypergeometric series of n+1 infinite summations depending ...
Vladimir V. Bytev, Bernd A. Kniehl
doaj +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)
core +3 more sources
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 : 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
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
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.
core +1 more source
, 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
, 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