## HYPERDIRE, HYPERgeometric functions DIfferential REduction: MATHEMATICA-based packages for differential reduction of generalized hypergeometric functions p F p − 1 , F 1 , F 2 , F 3 , F 4

dataset

posted on 22.07.2019 by Vladimir V. Bytev, Mikhail Yu. Kalmykov, Bernd A. Kniehl#### dataset

Datasets usually provide raw data for analysis. This raw data often comes in spreadsheet form, but can be any collection of data, on which analysis can be performed.

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: one, pfq, is relevant for manipulations of hypergeometric functions p + 1 F p , and the other, AppellF1F4, for manipulations with Appell hypergeometric functions F 1 , F 2 , F 3 , F 4 of two variables.
Title of program: HYPERDIRE
Catalogue Id: AEPP_v1_0
Nature of problem
Reduction of hypergeometric functions p F p-1 , F 1 , F 2 , F 3 , F 4 to sets 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