Definite Integrals Involving Logarithmic Powers, Binomials and Polynomials Expressed in terms of the Lerch Function

Authors

DOI:

https://doi.org/10.29020/nybg.ejpam.v15i1.4153

Keywords:

entries of Gradshteyn and Ryzhik, Lerch function, analytic continuation

Abstract

Closed expressions using the Lerch function for a definite integral are derived and evaluated. Some of these closed expressions are given in Gradshteyn and Ryzhik. Some special cases of the integral are derived and discussed. The majority of the results in this work are new.

Author Biography

  • Robert Reynolds, York University
    I enjoy, reading, walking, playing tennis. I practise mathemtics in my spare time.

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Published

2022-01-31

Issue

Vol. 15 No. 1: (January 2022)

License

Upon acceptance of an article by the journal, the author(s) accept(s) the transfer of copyright of the article to European Journal of Pure and Applied Mathematics.

European Journal of Pure and Applied Mathematics will be Copyright Holder.

How to Cite

Definite Integrals Involving Logarithmic Powers, Binomials and Polynomials Expressed in terms of the Lerch Function. (2022). European Journal of Pure and Applied Mathematics, 15(1), 229-237. https://doi.org/10.29020/nybg.ejpam.v15i1.4153