arXiv:1105.3565·v3·Mathematical Physics
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 and Dubna, JINR)🇩🇪 · Bernd A.Kniehl (Hamburg U., Inst. Theor. Phys. II)🇩🇪
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 second one, AppellF1F4, for manipulations with Appell hypergeometric functions F_1,F_2,F_3,F_4 of two variables.
Comments: 28 pages, accepted for publication in Computer Physics Communications