Applications and evaluations of log-sine integrals

Abstract

Generalized log-sine integrals have appeared in recent work on the epsilon-expansion of Feynman diagrams in physics; they have also proved useful in the study of certain multiple Mahler measures. We sketch these developments and present generating functions and identies which allow for an automatic and symbolic evaluation of log-sine integrals in terms of Nielsen polylogarithms at related argument. A particular focus will be on the special arguments TeX Embedding failed! and TeX Embedding failed!.

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