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Definite Integrals involving Logarithmic Powers, Binomials and Polynomials expressed in terms of the Lerch Function.

Authors :
Reynolds, Robert
Stauffer, Allan
Source :
European Journal of Pure & Applied Mathematics. Jan2022, Vol. 15 Issue 1, p229-237. 9p.
Publication Year :
2022

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. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
13075543
Volume :
15
Issue :
1
Database :
Academic Search Index
Journal :
European Journal of Pure & Applied Mathematics
Publication Type :
Academic Journal
Accession number :
155572981
Full Text :
https://doi.org/10.29020/nybg.ejpam.v15i1.4153