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

I enjoy, reading, walking, playing tennis. I practise mathemtics in my spare time.

Downloads

Published

2022-07-31

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

Issue

Vol. 15 No. 3: (July 2022)

Section

Nonlinear Analysis

License

Copyright (c) 2022 European Journal of Pure and Applied Mathematics

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International 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.

Most read articles by the same author(s)

1 2 3 > >>