Results 101 to 110 of about 311 (130)

Note on the Hurwitz–Lerch Zeta Function of Two Variables [PDF]

open access: yesSymmetry, 2020
A number of generalized Hurwitz–Lerch zeta functions have been presented and investigated. In this study, by choosing a known extended Hurwitz–Lerch zeta function of two variables, which has been very recently presented, in a systematic way, we propose to establish certain formulas and representations for this extended Hurwitz–Lerch zeta function such ...
Recep Şahin, Oguz Yagci, Junesang Choi
exaly   +5 more sources

A New Representation for Srivastava’s λ-Generalized Hurwitz-Lerch Zeta Functions [PDF]

open access: yesSymmetry, 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
exaly   +3 more sources

Asymptotic expansions of the Hurwitz–Lerch zeta function

open access: yesJournal of Mathematical Analysis and Applications, 2004
In the paper, a generalization of the asymptotic expansions obtained by \textit{M.~Katsurada} [Proc.~Japan Acad. 74, No. 10, 167--170 (1998; Zbl 0937.11035)] and \textit{D.~Klusch} [J.~Math. Anal. Appl. 170, No. 2, 513--523 (1992; Zbl 0763.11036)] for the Lipschitz-Lerch zeta function \[ R(a, x, s)\equiv\sum_{k=0}^\infty {e^{2k\pi ix}\over (a+k)^s ...
José L. López, Chelo Ferreira
exaly   +3 more sources
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On the Hurwitz—Lerch zeta-function

Aequationes Mathematicae, 2000
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
S Kanemitsu
exaly   +2 more sources

Real zeros of Hurwitz–Lerch zeta functions in the interval (−1,0)

open access: yesJournal of Mathematical Analysis and Applications, 2016
9 ...
Takashi Nakamura
exaly   +3 more sources

Two-sided inequalities for the extended Hurwitz–Lerch Zeta function

open access: yesComputers and Mathematics With Applications, 2011
Recently, Srivastava et al \cite{; ; SSPS}; ; unified and extended several interesting generali-zations of the familiar Hurwitz-Lerch Zeta function $\Phi(z, s, a)$ by introducing a Fox-Wright type generalized hypergeometric function in the kernel.
Tibor K Pogány   +2 more
exaly   +2 more sources

Some formulas related to Hurwitz–Lerch zeta functions [PDF]

open access: yesRamanujan Journal, 2010
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Takashi Nakamura
exaly   +3 more sources

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

Applied Mathematics and Computation, 2005
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Junesang Choi, H M Srivastava
exaly   +4 more sources

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 ...
Tibor K Pogány   +2 more
exaly   +3 more sources

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   +2 more
openaire   +1 more source

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