Harmonic Polylogarithms

@inproceedings{Remiddi1999HarmonicP,
  title={Harmonic Polylogarithms},
  author={Ettore Remiddi and J. A. M. Vermaseren},
  year={1999}
}
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. AMS(1991) subject classification: Primary 33B99, 33E99, Secondary 11Y60 

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