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Harmonic Sums and Mellin Transforms

arXiv:hep-ph/9906491 · doi:10.1016/S0920-5632(99)00664-7

Abstract

The finite and infinite harmonic sums form the general basis for the Mellin transforms of all individual functions $f_i(x)$ describing inclusive quantities such as coefficient and splitting functions which emerge in massless field theories. We discuss the mathematical structure of these quantities.

Contribution to the Proceedings of the 7th International Workshop on Deep Inelastic Scattering and QCD, DIS99, DESY-Zeuthen, April 1999; Nucl. Phys. B (Proc. Suppl.)