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

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