Hypergeometric functions with rational arguments

Details Hypergeometric functions with rational arguments Hypergeometric functions with rational arguments

2008-07-03

arxiv.org/abs/0807.0637v1

Nucl.Phys.Proc.Suppl.183:238-244,2008

Physics

High Energy Physics

High Energy Physics - Phenomenology

7 pages, 2 figures. Contribution to the proceedings of "Loops and Legs in Quantum Field Theory", 2008, Sondershausen, Germany

Scientific paper

10.1016/j.nuclphysbps.2008.09.11

We elaborate on the expansion of hypergeometric functions about rational parameters, where we focus mainly on the integer and half-integer case. The strategy and the basic steps of a recently developed algorithm for the expansion about half-integer parameters are described. The algorithm is implemented in the Mathematica package HypExp, by means of which we derive (partially new) results of selected multi-loop Feynman diagrams. Moreover, we give a new formulation of a conjecture in the context of a three-loop master integral in HQET.

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