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.

Downloads

Published

2022-01-31

Issue

Section

Nonlinear Analysis

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

Similar Articles

1-10 of 321

You may also start an advanced similarity search for this article.

Most read articles by the same author(s)

1 2 3 > >>