When epsilon-expansion of hypergeometric functions is expressible in terms of multiple polylogarithms: the two-variables examples

Bernd A.Kniehl (Hamburg U.; Dubna; Inst. Theor. Phys. II; Inst. Theor. Phys. II); JINR); Mikhail Yu. Kalmykov (Hamburg U.; Vladimir V. Bytev (Dubna

arxiv: 1212.4719 · v1 · pith:C7QBN5O2new · submitted 2012-12-19 · ✦ hep-th · math-ph· math.CA· math.MP

When epsilon-expansion of hypergeometric functions is expressible in terms of multiple polylogarithms: the two-variables examples

Vladimir V. Bytev (Dubna , JINR) , Mikhail Yu. Kalmykov (Hamburg U. , Inst. Theor. Phys. II , Dubna , Bernd A.Kniehl (Hamburg U. , Inst. Theor. Phys. II) This is my paper

classification ✦ hep-th math-phmath.CAmath.MP

keywords functionshypergeometricalgorithmanalyticalaroundcoefficientsconstructiondiscuss

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In this talk, we discuss the algorithm for the construction of analytical coefficients of higher order epsilon expansion of some Horn type hypergeometric functions of two variables around rational values of parameters.

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When epsilon-expansion of hypergeometric functions is expressible in terms of multiple polylogarithms: the two-variables examples

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