HYPERDIRE: HYPERgeometric functions DIfferential REduction: MATHEMATICA based packages for differential reduction of generalized hypergeometric functions pFq, F1,F2,F3,F4
Mathematical Physics
2013-09-09 v3 Symbolic Computation
High Energy Physics - Phenomenology
High Energy Physics - Theory
Classical Analysis and ODEs
math.MP
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.
Keywords
Cite
@article{arxiv.1105.3565,
title = {HYPERDIRE: HYPERgeometric functions DIfferential REduction: MATHEMATICA based packages for differential reduction of generalized hypergeometric functions pFq, F1,F2,F3,F4},
author = {Vladimir V. Bytev and Mikhail Yu. Kalmykov and Bernd A. Kniehl},
journal= {arXiv preprint arXiv:1105.3565},
year = {2013}
}
Comments
28 pages, accepted for publication in Computer Physics Communications