A Note on an Octuple Integral in terms of the Lerch Function

Authors

DOI:

https://doi.org/10.29020/nybg.ejpam.v15i2.4154

Keywords:

Octuple integral, Riemann zeta function, Cauchy integral, Lerch function

Abstract

The known exact expression for an octuple integral relating to research in the fields of mathematics and physics is summarized. A new closed form expression for this integral is given in terms of the Lerch function.

Author Biography

  • Robert Reynolds, York University
    I enjoy, reading, walking, playing tennis. I practise mathemtics in my spare time.

Downloads

Published

2022-04-30

Issue

Vol. 15 No. 2: (April 2022)

Section

Topology

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.

How to Cite

A Note on an Octuple Integral in terms of the Lerch Function. (2022). European Journal of Pure and Applied Mathematics, 15(2), 335-341. https://doi.org/10.29020/nybg.ejpam.v15i2.4154