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Some general families of the Hurwitz-Lerch zeta functions and their applications: recent developments and directions for further researches

Proceedings of the Institute of Mathematics and Mechanics,National Academy of Sciences of Azerbaijan, 2019
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On the new bicomplex generalization of Hurwitz–Lerch zeta function with properties and applications

Analysis, 2022
In the recent years, various authors introduced different generalizations of the Hurwitz–Lerch zeta function and discussed its various properties. The main aim of our study is to introduce a new bicomplex generalization of the Hurwitz–Lerch zeta function
Ankita Chandola, R. M. Pandey, K. S. Nisar   +2 more
semanticscholar   +3 more sources

Further results involving a class of generalized Hurwitz-Lerch zeta functions

Russian Journal of Mathematical Physics, 2014
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H. Srivastava, S. Gaboury, B. Fugère
semanticscholar   +4 more sources

A Study on Analytic Functions Associated with the Generalized Hurwitz-Lerch zeta Function

University of Zawia Journal of Natural Sciences
In this study, we introduce and investigate new subclasses of analytic functions that are closely related to the generalized Hurwitz-Lerch zeta function.
A. A. Abubaker
semanticscholar   +2 more sources

Further results related to generalized Hurwitz-Lerch zeta function and their applications

AIP Conference Proceedings, 2016
In this paper, we study a certain class of generalized Hurwitz-Lerch zeta functions. A new and useful property of the generalized Hurwitz-Lerch zeta functions such that their partial differential equations are derived.
K. Challab, M. Darus, F. Ghanim
semanticscholar   +2 more sources

Integral transform of product of generalized k-Bessel function and generalized Hurwitz-Lerch Zeta function

Journal of Interdisciplinary Mathematics
The paper presents new integral formulae involving product of generalized K-Bessel function of first kind ωγ,α k,ϱ,b,c (z) and Hurwitz-Lerch Zeta (HLZ function) function ϕρ,σ ξ,η (z, s, d) are obtained and presented in terms of the generalized (Wright ...
Sanjay Sharma, N. Menaria
semanticscholar   +2 more sources

Certain subclasses of meromorphically univalent functions defined by a linear operator associated with the λ-generalized Hurwitz–Lerch zeta function

Integral Transforms and Special Functions, 2015
By using a linear operator associated with the λ-generalized Hurwitz–Lerch zeta function, which is defined here by means of the Hadamard product (or convolution), the authors introduce and investigate various properties of certain subclasses of meromorphically univalent functions in the punctured unit disk.
H. Srivastava, S. Gaboury, F. Ghanim
semanticscholar   +2 more sources

Some relationships between the generalized Apostol–Bernoulli polynomials and Hurwitz–Lerch Zeta functions

Integral Transforms and Special Functions, 2006
The main object of this paper is to further investigate the generalized Apostol–Bernoulli polynomials of higher order, which were introduced and studied recently by Luo and Srivastava [2005, Journal of Mathematical Analysis and Applications, 308, 290–302; 2006, Computers and Mathematics with Applications, 51, 631–642]. Here, we first derive an explicit
M. Garg, K. Jain, Hari M. Srivastava
semanticscholar   +2 more sources

Some unified integral formulae involving with general class of polynomials and generalized Hurwitz-Lerch zeta function

AIP Conference Proceedings, 2023
Krishna Gopal Bhadana, Ashok Kumar Meena, V. Mishra   +2 more
semanticscholar   +2 more sources

A FURTHER EXTENSION OF THE GENERALIZED HURWITZ-LERCH ZETA FUNCTION

Far East Journal of Mathematical Sciences (FJMS), 2017
Junesang Choi, R. K. Parmar, R. K. Raina
semanticscholar   +2 more sources