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Caputo Derivative Formulas of Hurwitz-Lerch Zeta Function and Applications

Communications on Applied Nonlinear Analysis
In this paper, we find the fractional derivative formulas of Hurwitz-Lerch Zeta function. Further, we compute the solution of fractional differential equations involving Hurwitz-Lerch Zeta function.
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A generalization of the Hurwitz - Lerch Zeta function

Integral Transforms and Special Functions, 2008
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A Subclass of Analytic Functions Associated with the Hurwitz-Lerch Zeta Function

2014
Making use of a convolution operator involving the Hurwitz-Lerch Zeta function, we introduce a new class of analytic functions PT(λ, α, β) defined in the open unit disc, and investigate its various characteristics. Further we obtained distortion bounds, extreme points and radii of close-to-convexity, starlikeness and convexity for functions belonging ...
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Some Expansion Formulas for a Class of Generalized Hurwitz–Lerch Zeta Functions

Integral Transforms and Special Functions, 2006
Hari Mohan Srivastava   +2 more
exaly  

An Integral Operator Associated With the Hurwitz–Lerch Zeta Function and Differential Subordination

Integral Transforms and Special Functions, 2007
Adel A Attiya, Hari Mohan Srivastava
exaly  

Some Relationships Between the Generalized Apostol–Bernoulli Polynomials and Hurwitz–Lerch Zeta Functions

Integral Transforms and Special Functions, 2006
Hari Mohan Srivastava, Mridula Garg
exaly  

A FURTHER EXTENSION OF THE GENERALIZED HURWITZ-LERCH ZETA FUNCTION

Far East Journal of Mathematical Sciences (FJMS), 2017
Junesang Choi   +2 more
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An Extended General Hurwitz–Lerch Zeta Function as a Mathieu (a,λ)-Series

Applied Mathematics Letters, 2011
Tibor K Pogány   +2 more
exaly  

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