Some Formulas Related to Hurwitz–Lerch Zeta Functions [PDF]
Ramanujan Journal, 2010 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Takashi Nakamura
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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.
Junesang Choi, H M Srivastava
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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 ...
Tibor K Pogány +2 more
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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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A New Representation for Srivastava’s λ-Generalized Hurwitz-Lerch Zeta Functions [PDF]
Symmetry, 2018 Taking inspiration principally from some of the latest research, we develop a new series representation for the λ-generalized Hurwitz-Lerch zeta functions. This representation led to important new results. The Fourier transform played a foundational role in this work.
Asifa Tassaddiq
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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 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 +2 more
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On the new bicomplex generalization of Hurwitz–Lerch zeta function with properties and applications
Analysis, 2022Abstract 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 +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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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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