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)

Section

Nonlinear Analysis

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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