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

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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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How to Cite

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

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