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arxiv: 1105.3565 · v3 · pith:T2GZRMW3new · submitted 2011-05-18 · 🧮 math-ph · cs.SC· hep-ph· hep-th· math.CA· math.MP

HYPERDIRE: HYPERgeometric functions DIfferential REduction: MATHEMATICA based packages for differential reduction of generalized hypergeometric functions pFq, F1,F2,F3,F4

Vladimir V. Bytev (Dubna , JINR) , Mikhail Yu. Kalmykov (Hamburg U. , Inst. Theor. Phys. II , Dubna , Bernd A.Kniehl (Hamburg U. , Inst. Theor. Phys. II) This is my paper
classification 🧮 math-ph cs.SChep-phhep-thmath.CAmath.MP
keywords functionshypergeometricdifferentialreductionhyperdiremanipulationsmathematicaappell
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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 second one, AppellF1F4, for manipulations with Appell hypergeometric functions F_1,F_2,F_3,F_4 of two variables.

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