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Author Country (or Countries)

Canada

Abstract

Motivated largely by a number of recent investigations, we introduce and investigate the various properties of a certain new family of the l -generalized Hurwitz-Lerch zeta functions. We derive many potentially useful results involving these l -generalized Hurwitz-Lerch zeta functions including (for example) their partial differential equations, new series and Mellin-Barnes type contour integral representations (which are associated with Fox’s H-function) and several other summation formulas.We discuss their potential application in Number Theory by appropriately constructing a seemingly novel continuous analogue of Lippert’s Hurwitz measure. We also consider some other statistical applications of the family of the l -generalized Hurwitz-Lerch zeta functions in probability distribution theory.

Suggested Reviewers

N/A

Digital Object Identifier (DOI)

http://dx.doi.org/10.12785/amis/080402

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