HARMONIC POLYLOGARITHMS
Copyright policy )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.
Elementary classical functions, Physics, ddc:530, FOS: Physical sciences, Mellin transforms, 530, harmonic polylogarithms, High Energy Physics - Phenomenology, High Energy Physics - Phenomenology (hep-ph), harmonic sums, Nielsen's plylogarithms, info:eu-repo/classification/ddc/530
Elementary classical functions, Physics, ddc:530, FOS: Physical sciences, Mellin transforms, 530, harmonic polylogarithms, High Energy Physics - Phenomenology, High Energy Physics - Phenomenology (hep-ph), harmonic sums, Nielsen's plylogarithms, info:eu-repo/classification/ddc/530
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