Extended Apelblat Integrals for Fractional Calculus
DOI:
https://doi.org/10.29020/nybg.ejpam.v15i1.4181Keywords:
Volterra function, Hurwitz-Lerch zeta function, Gamma function, quadruple integral, contour integral, logarithmic functionAbstract
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.Downloads
Published
2022-01-31
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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