On the reduction of generalized polylogarithms to Lin and Li2;2 and on the evaluation thereof -- from Wolfram Library Archive

Title

On the reduction of generalized polylogarithms to Lin and Li2;2 and on the evaluation thereof

Authors

Hjalte Frellesvig

Damiano Tommasini

Christopher Wever

Journal / Anthology

Journal of High Energy Physics

Year:

2016

Issue:

Description

We give expressions for all generalized polylogarithms up to weight four in terms of the functions log, Lin, and Li2;2, valid for arbitrary complex variables. Furthermore we provide algorithms for manipulation and numerical evaluation of Lin and Li2;2, and add codes in Mathematica and C++ implementing the results. With these results we calculate a number of previously unknown integrals, which we add in appendix C.

Subject

Science > Physics

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