A Note on the Infinite Sum of the Lerch function

Authors

DOI:

https://doi.org/10.29020/nybg.ejpam.v15i1.4137

Keywords:

Lerch function, incomplete gamma function, Catalan's constant, Aprey's constant

Abstract

We derive the infinite sum of the Lerch function in terms of the incomplete gamma function and the Lerch function. Special cases are evaluated in terms of fundamentals 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.

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Published

2022-01-31

Issue

Vol. 15 No. 1: (January 2022)

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 the Infinite Sum of the Lerch function. (2022). European Journal of Pure and Applied Mathematics, 15(1), 158-168. https://doi.org/10.29020/nybg.ejpam.v15i1.4137