A Note on the Definite Integral of the Lerch Function

Authors

DOI:

https://doi.org/10.29020/nybg.ejpam.v14i3.4030

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.

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Published

2021-08-05

Issue

Vol. 14 No. 3: (July 2021)

Section

Nonlinear Analysis

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How to Cite

A Note on the Definite Integral of the Lerch Function. (2021). European Journal of Pure and Applied Mathematics, 14(3), 788-802. https://doi.org/10.29020/nybg.ejpam.v14i3.4030