English

HYPERgeometric functions DIfferential REduction: Mathematica-based packages for the differential reduction of generalizedhypergeometric functions: Fc hypergeometric function of three variables

Mathematical Physics 2016-06-29 v2 Symbolic Computation High Energy Physics - Phenomenology High Energy Physics - Theory math.MP

Abstract

We present a further extension of the HYPERDIRE project, which is devoted to the creation of a set of Mathematica-based program packages for manipulations with Horn-type hypergeometric functions on the basis of differential equations. Specifically, we present the implementation of the differential reduction for the Lauricella function FCF_C of three variables.

Cite

@article{arxiv.1602.00917,
  title  = {HYPERgeometric functions DIfferential REduction: Mathematica-based packages for the differential reduction of generalizedhypergeometric functions: Fc hypergeometric function of three variables},
  author = {V. Bytev and B. Kniehl},
  journal= {arXiv preprint arXiv:1602.00917},
  year   = {2016}
}

Comments

15 pages, minor changes, accepted for publication in Computer Physics Communications

R2 v1 2026-06-22T12:41:54.003Z