Definite Integral of Logarithmic Power and Square Root Algebraic Functions Expressed in terms of the Lerch Function

Authors

DOI:

https://doi.org/10.29020/nybg.ejpam.v14i4.4065

Keywords:

Definite integral, square root function, Lerch function, polylogarithm function, Riemann zeta function

Abstract

A definite integral involving the power square root of an algebraic function is derived in terms of the Lerch function. A table consisting of mostly new results is given for easy reading. The majority of the results in this work are new.

Downloads

Published

2021-11-10

Issue

Section

Nonlinear Analysis

How to Cite

Definite Integral of Logarithmic Power and Square Root Algebraic Functions Expressed in terms of the Lerch Function. (2021). European Journal of Pure and Applied Mathematics, 14(4), 1379-1387. https://doi.org/10.29020/nybg.ejpam.v14i4.4065