Results 111 to 120 of about 1,008 (140)

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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Certain families of series associated with the Hurwitz–Lerch Zeta function

Applied Mathematics and Computation, 2005
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Choi, Junesang, Srivastava, H. M.
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Some subclasses of meromorphic functions involving the Hurwitz-Lerch Zeta function

2015
The main purpose of this paper is to investigate some subclasses of meromorphic functions involving the meromorphic modified version of the familiar Srivastava-Attiya operator. Such results as inclusion relationships, convolution properties, coefficient inequalities, integralpreserving properties, subordination and superordination properties are proved.
WANG, Zhi-gang, SHİ, Lei
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Generating Function Involving General Function Related to Hurwitz- Lerch Zeta Function

Communications on Applied Nonlinear Analysis
In this paper, we have studied a general function which unifies the Hurwitz-Lerch Zeta function and Mittage-Leffler function. The integral representation of the function and certain generating functions involving this general function are established. A mild extension of thisgeneral function is also presented in this paper. The generating functions for
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Zeta Potential of Extracellular Vesicles: Toward Understanding the Attributes that Determine Colloidal Stability

ACS Omega, 2020
Kasun Godakumara, James Ord, Janeli Viil
exaly  

A generalization of the Hurwitz - Lerch Zeta function

Integral Transforms and Special Functions, 2008
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DLS and zeta potential – What they are and what they are not?

Journal of Controlled Release, 2016
Sourav Bhattacharjee
exaly  

Balanced basis sets of split valence, triple zeta valence and quadruple zeta valence quality for H to Rn: Design and assessment of accuracy

Physical Chemistry Chemical Physics, 2005
Florian Weigend
exaly