A Quadruple Integral Involving the Legendre Function Pn(x) of the First Kind: Derivation and Evaluation

Authors

DOI:

https://doi.org/10.29020/nybg.ejpam.v15i3.4237

Keywords:

Legendre polynomial, quadruple integral, Hurwitz-Lerch zeta function, Cauchy integral formula

Abstract

A closed form expression of a quadruple integral involving the Legerndre polynomial Pn(x) is derived. Special cases are expressed in terms of special functions and fundamental constants. All the results in this work are new.

Author Biography

Robert Reynolds, York University

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How to Cite

Reynolds, R., & Stauffer, A. . (2022). A Quadruple Integral Involving the Legendre Function Pn(x) of the First Kind: Derivation and Evaluation. European Journal of Pure and Applied Mathematics, 15(3), 1113–1119. https://doi.org/10.29020/nybg.ejpam.v15i3.4237

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