most citedTowards all-order Laurent expansion of generalized hypergeometric functions around rational values of parameters

60 citations · 77 across the 2 of their papers we have counts for

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hep-th2009★ 17 cited

Differential Reduction Algorithms for Hypergeometric Functions Applied to Feynman Diagram Calculation

V. V. Bytev, M. Kalmykov, B. A. Kniehl +2

We describe the application of differential reduction algorithms for Feynman Diagram calculation. We illustrate the procedure in the context of generalized hypergeometric functions…

hep-th2008★ 60 cited

Towards all-order Laurent expansion of generalized hypergeometric functions around rational values of parameters

Mikhail Yu. Kalmykov, Bernd A. Kniehl

We prove the following theorems: 1) The Laurent expansions in epsilon of the Gauss hypergeometric functions 2F1(I_1+a*epsilon, I_2+b*epsilon; I_3+p/q + c epsilon; z), 2F1(I_1+p/q+a…