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

本程序源自贝尔法斯特女王大学馆藏的CPC程序库（1969-2018）。

摘要
我们提出HYPERDIRE项目的进一步拓展工作：该项目旨在基于微分方程，构建一套用于处理霍恩（Horn）型超几何函数的Mathematica程序包。具体而言，我们实现了三元变量劳里切拉（Lauricella）F_C函数的微分约化方法。

程序名称：HYPERDIRE
目录标识：AEPP_v4_0

问题属性
将三元变量劳里切拉F_C型超几何函数约化为一组基函数。

本程序在Mendeley数据的CPC存储库中包含以下版本：
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