1105.3565 (Vladimir V. Bytev et al.)

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

Vladimir V. Bytev, Mikhail Yu. Kalmykov, Bernd A. Kniehl

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.

View original: http://arxiv.org/abs/1105.3565