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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

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

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