Harmonic Polylogarithms
High Energy Physics - Phenomenology
2009-10-31 v1
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.
Cite
@article{arxiv.hep-ph/9905237,
title = {Harmonic Polylogarithms},
author = {E. Remiddi and J. A. M. Vermaseren},
journal= {arXiv preprint arXiv:hep-ph/9905237},
year = {2009}
}
Comments
18 pages LaTeX