Q339293
type: Item
instance of: scholarly article
title: 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
zbMATH Open document ID: 1348.33001
author: Vladimir V. Bytev
author: Mikhail Yu. Kalmykov
author: Sven-Olaf Moch
published in: Computer Physics Communications
publication date: 2016-11-10T00:00:00Z
full work available at URL: https://arxiv.org/abs/1312.5777
Mathematics Subject Classification ID: 33-04
Mathematics Subject Classification ID: 33C65
Mathematics Subject Classification ID: 81T18
zbMATH DE Number: 6651504
zbMATH Keywords: hypergeometric functions
zbMATH Keywords: differential reduction
zbMATH Keywords: Feynman diagrams
describes a project that uses: Mathematica
describes a project that uses: HYPERDIRE
MaRDI profile type: Publication
OpenAlex ID: W1602629524
arXiv ID: 1312.5777
cites work: Q3345085
cites work: Lie Theory and the Appell Functions $F_1 $
cites work: Gröbner deformations of hypergeometric differential equations
cites work: Differential reduction of generalized hypergeometric functions from Feynman diagrams: one-variable case
cites work: Non-planar massless two-loop Feynman diagrams with four on-shell legs
cites work: Nested sums, expansion of transcendental functions, and multiscale multiloop integrals
cites work: Harmonic sums and polylogarithms generated by cyclotomic polynomials
cites work: Algorithms to evaluate multiple sums for loop computations
cites work: A new hypergeometric representation of one-loop scalar integrals in \(d\) dimensions
cites work: A geometrical angle on Feynman integrals
cites work: Analytic result for the one-loop scalar pentagon integral with massless propagators
cites work: Connection between Feynman integrals having different values of the space-time dimension
cites work: Theory of Hypergeometric Functions
cites work: Transformations of certain hypergeometric functions of three variables
cites work: Hypexp 2, expanding hypergeometric functions about half-integer parameters
cites work: Multiple polylogarithms, cyclotomy and modular complexes
cites work: XSummer -- transcendental functions and symbolic summation in form
cites work: On the finite sum representations of the Lauricella functions \(F_{D}\)
DOI: 10.1016/J.CPC.2014.07.014
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label: 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
description: scientific article; zbMATH DE number 6651504