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
From MaRDI portal
Publication:339293
DOI10.1016/J.CPC.2014.07.014zbMATH Open1348.33001arXiv1312.5777OpenAlexW1602629524MaRDI QIDQ339293
Author name not available (Why is that?)
Publication date: 10 November 2016
Published in: (Search for Journal in Brave)
Abstract: HYPERDIRE is a project devoted to the creation of a set of Mathematica based programs for the differential reduction of hypergeometric functions. The current version includes two parts: the first one, FdFunction, for manipulations with Appell hypergeometric functions of variables; and the second one, FsFunction, for manipulations with Lauricella-Saran hypergeometric functions of three variables. Both functions are related with one-loop Feynman diagrams. The published version includes also Chapter 5 with two theorems about structure of coefficients of epsilon-expansion of the Horn-type hypergeometric functions. As illustration, the first three coefficients of epsilon-expansion for the Appell hypergeometric function FD of r-variables are explicitly evaluated.
Full work available at URL: https://arxiv.org/abs/1312.5777
No records found.
No records found.
This page was built for publication: 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
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q339293)
