HYPERDIRE: HYPERgeometric functions DIfferential REduction: MATHEMATICA based packages for differential reduction of generalized hypergeometric functions pFq, F1,F2,F3,F4
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.
- Publication:
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arXiv e-prints
- Pub Date:
- May 2011
- DOI:
- arXiv:
- arXiv:1105.3565
- Bibcode:
- 2011arXiv1105.3565B
- Keywords:
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- Mathematical Physics;
- Computer Science - Symbolic Computation;
- High Energy Physics - Phenomenology;
- High Energy Physics - Theory;
- Mathematics - Classical Analysis and ODEs
- E-Print:
- 28 pages, accepted for publication in Computer Physics Communications