A Note on the Definite Integral of the Lerch Function

Keywords: Lerch's transformation, Lerch function, Definite integral, Catalan constant, Euler's constant, Contour integral

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.
Published
2021-08-05
Section
Nonlinear Analysis