Results 51 to 60 of about 2,163 (157)
Growth of the Lerch zeta-function [PDF]
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Zeros of derivative of Lerch's zeta-function
In this paper, we study the distribution of the zeros of the derivative of the Lerch zeta-function. We indicate the zero-free regions and the positions of the trivial zeros. Also, we consider an asymptotic formula for the number of nontrivial zeros and show that almost all nontrivial zeros are arbitrarily close to the critical line.
Garunkštis, Ramūnas +2 more
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Multiple Lerch Zeta Functions and an Idea of Ramanujan [PDF]
In this article, we derive meromorphic continuation of multiple Lerch zeta functions by generalising an elegant identity of Ramanujan. Further, we describe the set of all possible singularities of these functions. Finally, for the multiple Hurwitz zeta functions, we list the exact set of singularities.
Gun, Sanoli, Saha, Biswajyoti
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UEG Week 2025 Poster Presentations [PDF]
United European Gastroenterology Journal, Volume 13, Issue S8, Page S803-S1476, October 2025.
europepmc +2 more sources
Some Properties of Meromorphic Functions Defined by the Hurwitz–Lerch Zeta Function
The findings of this study are connected with geometric function theory and were acquired using subordination-based techniques in conjunction with the Hurwitz–Lerch Zeta function.
Ekram E. Ali +3 more
doaj +1 more source
Abstract In European countries, where the demographic transition has reached advanced stages and the natural increase has fallen below zero, migration constitutes a significant component of local population change. We investigate to what extent the dynamics of international migration and internal mobility changed during the first waves of the COVID‐19 ...
Daniela Ghio, Anne Goujon, Claudio Bosco
wiley +1 more source
In this paper, we propose a robust control method for the automatic treatment of targeted anti‐angiogenic molecular therapy based on multi‐input multi‐output (MIMO) nonlinear fractional and non‐fractional models using the backstepping (BS) approach.
Mohamadreza Homayounzade +1 more
wiley +1 more source
Approximate functional equations for the Hurwitz and Lerch zeta-functions [PDF]
As one of the asymptotic formulas for the zeta-function, Hardy and Littlewood gave asymptotic formulas called the approximate functional equation. In 2003, R. Garunk\v{s}tis, A. Laurin\v{c}ikas, and J.
Miyagawa, Takashi
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Some New Symmetric Identities for the q-Zeta Type Functions
The main object of this paper is to obtain several symmetric properties of the q-Zeta type functions. As applications of these properties, we give some new interesting identities for the modified q-Genocchi polynomials.
Araci, Serkan +3 more
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Asymptotic expansions of the Hurwitz–Lerch zeta function
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 ...
Ferreira, Chelo, López, José L.
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