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arXiv · hep-ph/9905237

Harmonic Polylogarithms

E. Remiddi·J. A. M. Vermaseren
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Abstract

The harmonic polylogarithms (hpl's) are introduced. They are a generalization of Nielsen's polylogarithms, satisfying a product algebra (the product of two hpl's is in turn a combination of hpl's) and forming a set closed under the transformation of the arguments x=1/z and x=(1-t)/(1+t). The coefficients of their expansions and their Mellin transforms are harmonic sums.

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E. Remiddi, J. A. M. Vermaseren. 1999-05-04. Harmonic Polylogarithms. https://doi.org/10.1142/s0217751x00000367

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