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.

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Published

2021-11-10

Issue

Vol. 14 No. 4: (October 2021)

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 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