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THE LAPLACE TRANSFORM OF THE HURWITZ-LERCH ZETA-FUNCTION [PDF]

open access: yesInternational Journal of Pure and Apllied Mathematics, 2015
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Some topics related to Hurwitz–Lerch zeta functions

open access: yesSome topics related to Hurwitz–Lerch zeta functions
In this paper, we consider multiplication formulas and their inversion formulas for Hurwitz-Lerch zeta functions. Inversion formulas give simple proofs of known results, and also show generalizations of those results. Next, we give a generalization of digamma and gamma functions in terms of Hurwitz-Lerch zeta functions, and consider its properties.
openaire  

FURTHER EXPANSION FORMULAS FOR A CLASS OF GENERALIZED HURWITZ-LERCH ZETA FUNCTIONS OBTAINED BY MEANS OF A NEW LEIBNIZ RULE FOR FRACTIONAL DERIVATIVES

open access: yes
The aim of this paper is to make use of a new generalized Leibniz rule for fractional derivatives obtained recently by Tremblay et al. [Tremblay, Gaboury and Fugère, A new Leibniz rule and its integral analogue for fractional derivatives, Integral ...
Bayad, Abdelmejid, Gaboury, Sébastien
core  

Approximate Functional Equations for the Hurwitz and Lerch Zeta-functions

open access: yesApproximate Functional Equations for the Hurwitz and Lerch Zeta-functions
openaire  

Integral and computational representations of the extended Hurwitz–Lerch zeta function

Integral Transforms and Special Functions, 2011
This article presents a systematic investigation of various integrals and computational represen-tations for some families of generalized Hurwitz–Lerch Zeta functions which are introduced here.We first establish their relationship with the H-function, which enables us to derive the Mellin–Barnes type integral representations for nearly all of the ...
H M Srivastava   +2 more
exaly   +3 more sources

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