Results 111 to 120 of about 265 (134)
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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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Monatshefte Fur Mathematik, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Takashi Nakamura
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zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Takashi Nakamura
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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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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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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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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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The Hurwitz Zeta Function and the Lerch Zeta Function
2017In this chapter we will discuss formulas we have developed for the evaluation of certain zeta functions. We will need them later for the numerical computation of the spectrum of the transfer operator. The implementations of these zeta functions are in a sense the heart of our computations, so we need to be very careful.
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Riemann, Hurwitz and Hurwitz-Lerch Zeta Functions and Associated Series and Integrals
2012The main object of this article is to present a survey-cum-expository account of some recent developments involving the Riemann Zeta function \(\zeta (s)\), the Hurwitz (or generalized) Zeta function \(\zeta (s,a)\), and the Hurwitz-Lerch Zeta function \(\Phi (z,s,a)\) as well as its various interesting extensions and generalizations.
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