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The study of generalized Hurwitz–Lerch zeta function and fractional kinetic equations

Research in Mathematics
Nabiullah Khan, Rakibul Sk, Saddam Husain, Mohd Asif Shah   +3 more
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Approximate Functional Equations for the Hurwitz and Lerch Zeta-functions

Approximate Functional Equations for the Hurwitz and Lerch Zeta-functions
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Operators of fractional calculus and associated integral transforms of the (p,q)-extended Hurwitz-Lerch zeta function

Fractional Differential Calculus
Purnima Chopra, Shilpa Kumawat, Hemlata Saxena   +2 more
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Certain Convexity Properties of Hurwitz-Lerch Zeta and Mittag-Leffler Functions

Hokkaido Mathematical Journal, 2023
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bansal, Deepak, Raina, Ravinder Krishna
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IDENTITIES OF A GENERAL MULTIPLE HURWITZ-LERCH ZETA FUNCTION AND APPLICATIONS

jnanabha, 2023
In this article we introduce a general multiple Hurwitz-Lerch Zeta function. Then its convergence conditions and identities are obtained under certain conditions. We also derive some of connections to the multiple Hurwitz-Lerch Zeta function based upon Srivastava-Daoust hypergeometric series in several variables and other related functions of one and ...
Chandel, R. C. Singh, Pathan, M. A., Kumar, Hemant   +2 more
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Integral representations of the multi-parameter Hurwitz–Lerch zeta function and applications

The Journal of Analysis, 2022
The Hurwitz-Lerch zeta function \(\Phi(z,s,a)\) is defined by \[ \Phi(z, s, a)=\sum_{k=0}^\infty \frac{z^k}{(a+k)^s}, \] for \(1-a\notin \mathbb N\) when \(| z| 1\) when \(|z|=1\). A generalization of the above-defined function was studied by \textit{H. M. Srivastava} et al. [Integral Transforms Spec. Funct. 22, No.
Khaled Mehrez, Praveen Agarwal
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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 ...
Srivastava, Hari M, Saxena, Ram K., Poganj, Tibor, Saxena, Ravi   +3 more
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On the new bicomplex generalization of Hurwitz–Lerch zeta function with properties and applications

Analysis, 2022
Abstract 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 using the new generalized form of the beta function that involves the ...
Ankita Chandola, Rupakshi Mishra Pandey, Kottakkaran Sooppy Nisar   +2 more
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SOME MATRIX FAMILIES OF THE HURWITZ–LERCH ζ-FUNCTIONS AND ASSOCIATED FRACTIONAL KINETIC EQUATIONS

Fractals, 2022
This research paper aims to introduce an extension of the [Formula: see text]-Hurwitz–Lerch [Formula: see text]-function of matrix arguments and interpret its several properties, like generating matrix relations, derivative formulae, Mellin transforms and integral representations.
Muajebah Hidan, Mohamed Akel, Hala Abd-Elmageed, Mohamed Abdalla   +3 more
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Strong Differential Subordination and Superordination for Multivalently Meromorphic Functions Involving the Hurwitz–Lerch Zeta Function

Proceedings of the National Academy of Sciences, India Section A: Physical Sciences, 2015
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Soni, Amit, Kant, Shashi, Prajapat, J. K.   +2 more
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