A Note on the Definite Integral of the Lerch Function

Robert Reynolds, Allan Stauffer

Abstract

This is a compilation of definite integrals involving the Lerch, Polylogarithm, Hurwitz functions and fundamental constants. Connections to previous work is compared and discussed. This collection of definite integrals is new in current literature.

Keywords

Lerch's transformation; Lerch function; Definite integral; Catalan constant; Euler's constant; Contour integral

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