Definite Integrals Involving Logarithmic Powers, Binomials and Polynomials Expressed in terms of the Lerch Function
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Published:2022-01-31
Issue:1
Volume:15
Page:229-237
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ISSN:1307-5543
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Container-title:European Journal of Pure and Applied Mathematics
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language:
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Short-container-title:Eur. J. Pure Appl. Math.
Author:
Reynolds RobertORCID,
Stauffer AllanORCID
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.
Publisher
New York Business Global LLC
Subject
Applied Mathematics,Geometry and Topology,Numerical Analysis,Statistics and Probability,Algebra and Number Theory,Theoretical Computer Science