Extended Apelblat Integrals for Fractional Calculus

Authors

DOI:

https://doi.org/10.29020/nybg.ejpam.v15i1.4181

Keywords:

Volterra function, Hurwitz-Lerch zeta function, Gamma function, quadruple integral, contour integral, logarithmic function

Abstract

A quadruple integral involving the logarithmic, exponential,  polynomial and Gamma functions is derived in terms of the Hurwitz-Lerch zeta function. Special cases of this integral are evaluated in terms of special functions and fundamental constants. Almost all Hurwitz-Lerch zeta functions have an asymmetrical zero-distribution. The majority of 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

Extended Apelblat Integrals for Fractional Calculus. (2022). European Journal of Pure and Applied Mathematics, 15(1), 30-35. https://doi.org/10.29020/nybg.ejpam.v15i1.4181