Results 1 to 10 of about 2,373 (157)
A Series Representation for the Hurwitz–Lerch Zeta Function [PDF]
Axioms, 2021 We derive a new formula for the Hurwitz–Lerch zeta function in terms of the infinite sum of the incomplete gamma function. Special cases are derived in terms of fundamental constants.
, Allan Stauffer, Reynolds Robert
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Further Extension of the Generalized Hurwitz-Lerch Zeta Function of Two Variables [PDF]
Mathematics, 2019 The main aim of this paper is to provide a new generalization of Hurwitz-Lerch Zeta function of two variables. We also investigate several interesting properties such as integral representations, summation formula, and a connection with the generalized hypergeometric function. To strengthen the main results we also consider some important special cases.
Kottakkaran Sooppy Nisar
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Note on the Hurwitz–Lerch Zeta Function of Two Variables [PDF]
Symmetry, 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 ...
Junesang Choi +2 more
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Two-sided inequalities for the extended Hurwitz–Lerch Zeta function
Computers 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.
H M Srivastava +2 more
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Analytical properties of the Hurwitz–Lerch zeta function [PDF]
Advances in Difference Equations, 2020 AbstractIn the present paper, we aim to extend the Hurwitz–Lerch zeta function $\varPhi _{\delta ,\varsigma ;\gamma }(\xi ,s,\upsilon ;p)$ Φ δ , ς ; γ ( ξ , s , υ ; p ) involving the extension of the beta function (Choi et al. in Honam Math. J. 36(2):357–385, 2014).
Raghib Nadeem +3 more
semanticscholar +5 more sources
Asymptotic expansions of the Hurwitz–Lerch zeta function
Journal 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 Lopez
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Certain Integral Operator Related to the Hurwitz–Lerch Zeta Function [PDF]
Journal of Complex Analysis, 2018 The aim of the present paper is to investigate several third-order differential subordinations, differential superordination properties, and sandwich-type theorems of an integral operator Ws,bf(z) involving the Hurwitz–Lerch Zeta function. We make some applications of the operator Ws,bf(z) for meromorphic functions.
Xiao-Yuan Wang, Lei Shi, Zhi-Ren Wang
wiley +3 more sources
On extended Hurwitz–Lerch zeta function
Journal of Mathematical Analysis and Applications, 2017 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Min-Jie Luo +2 more
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New result of analytic functions related to Hurwitz zeta function. [PDF]
ScientificWorldJournal, 2013 By using a linear operator, we obtain some new results for a normalized analytic function f defined by means of the Hadamard product of Hurwitz zeta function. A class related to this function will be introduced and the properties will be discussed.
Ghanim F, Darus M.
europepmc +2 more sources
Real zeros of Hurwitz–Lerch zeta functions in the interval (−1,0)
Journal of Mathematical Analysis and Applications, 2016 9 ...
Takashi Nakamura
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