Harmonic Polylogarithms

Details Harmonic Polylogarithms Harmonic Polylogarithms

1999-05-04

arxiv.org/abs/hep-ph/9905237v1

Int.J.Mod.Phys. A15 (2000) 725-754

Physics

High Energy Physics

High Energy Physics - Phenomenology

18 pages LaTeX

Scientific paper

10.1142/S0217751X00000367

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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