Results 101 to 110 of about 1,008 (122)
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On the Hurwitz—Lerch zeta-function
Aequationes Mathematicae, 2000zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kanemitsu, Shigeru +2 more
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Integral and computational representations of the extended Hurwitz–Lerch zeta function
Integral Transforms and Special Functions, 2011This 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 +3 more
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Certain families of series associated with the Hurwitz–Lerch Zeta function
Applied Mathematics and Computation, 2005zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Choi, Junesang, Srivastava, H. M.
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Certain subclass of analytic functions involving Hurwitz–Lerch zeta function
Serdica Mathematical Journal, 2022Making use of Integral operator involving the Hurwitz-Lerch zeta function, we introduce a new subclass of analytic functions defined in the open unit disk and investigate its various characteristics. Further we obtain some usual properties of the geometric function theory such as coefficient bounds, extreme points radius of starlikness and convexity ...
Deshmukh, Kishor C. +2 more
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Certain classes of analytic functions defined by Hurwitz–Lerch zeta function
Journal of Applied Analysis, 2021Abstract In this work, we introduce and investigate a new class k -
Bolineni Venkateswarlu +3 more
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Certain Convexity Properties of Hurwitz-Lerch Zeta and Mittag-Leffler Functions
Hokkaido Mathematical Journal, 2023zbMATH 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, 2023In 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 +2 more
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Integral representations of the multi-parameter Hurwitz–Lerch zeta function and applications
The Journal of Analysis, 2022The 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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Some subclasses of meromorphic functions involving the Hurwitz-Lerch Zeta function
2015The 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 AnalysisIn 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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