HYPERDIRE—HYPERgeometric functions DIfferential REduction: Mathematica-based packages for the differential reduction of generalized hypergeometric functions: Lauricella function F C of three variables

Published: 1 September 2016| Version 1 | DOI: 10.17632/5jrb4prg3m.1
Vladimir V. Bytev, Bernd A. Kniehl


This program has been imported from the CPC Program Library held at Queen's University Belfast (1969-2018) Abstract We present a further extension of the HYPERDIRE project, which is devoted to the creation of a set of Mathematica-based program packages for manipulations with Horn-type hypergeometric functions on the basis of differential equations. Specifically, we present the implementation of the differential reduction for the Lauricella function F C of three variables. Title of program: HYPERDIRE Catalogue Id: AEPP_v4_0 Nature of problem Reduction of hypergeometric function F C of three variables to a 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



Computational Physics, Computational Method