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

Published: 01-01-2014| Version 1 | DOI: 10.17632/t5hrtdts4s.1
Vladimir V. Bytev,
Mikhail Yu. Kalmykov,
Sven-Olaf Moch


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 functions. The current version includes two parts: the first one, FdFunction, for manipulations with Appell hypergeometric functions F D of r variables; and the second one, FsFunction, for manipulations with Lauricella–Saran hypergeometric functions F S of three variables. Both functions are related with one-loop Feynman diagrams. Title of program: HYPERDIRE Catalogue Id: AEPP_v3_0 Nature of problem Reduction of hypergeometric functions F D and F S to the set of basis functions. Versions of this program held in the CPC repository in Mendeley Data AEPP_v1_0; HYPERDIRE; 10.1016/j.cpc.2013.05.009 AEPP_v2_0; HYPERDIRE; 10.1016/j.cpc.2014.11.022 AEPP_v3_0; HYPERDIRE; 10.1016/j.cpc.2014.07.014 AEPP_v4_0; HYPERDIRE; 10.1016/j.cpc.2016.04.016