====== TTP99-08 Harmonic Polylogarithms ====== 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. |**E. Remiddi and J.A.M. Vermaseren** | |** Int. J. Mod. Phys. A15 725 2000 ** | | {{preprints:1999:ttp99-08.pdf|PDF}} {{preprints:1999:ttp99-08.ps|PostScript}} [[http://arxiv.org/abs/hep-ph/9905237|arXiv]] | | |