Results 101 to 110 of about 5,487,190 (196)
A discrete limit theorem for the periodic Hurwitz zeta-function
Lietuvos Matematikos Rinkinys, 2015 In the paper, we prove a limit theorem of discrete type on the weak convergence of probability measures on the complex plane for the periodic Hurwitz zeta-function.
Audronė Rimkevičienė
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A discrete version of the Mishou theorem related to periodic zeta-functions
Mathematical Modelling and AnalysisIn the paper, we consider simultaneous approximation of a pair of analytic functions by discrete shifts and of the absolutely convergent Dirichlet series connected to the periodic zeta-function with multiplicative sequence a, and the periodic Hurwitz ...
Aidas Balčiūnas +2 more
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Some Relations of the Twisted q-Genocchi Numbers and Polynomials with Weight α and Weak Weight β
Abstract and Applied Analysis, 2012 Recently many mathematicians are working on Genocchi polynomials and Genocchi numbers. We define a new type of twisted q-Genocchi numbers and polynomials with weight 𝛼 and weak weight 𝛽 and give some interesting relations of the twisted q-Genocchi ...
J. Y. Kang, H. Y. Lee, N. S. Jung
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A discrete limit theorem for the periodic Hurwitz zeta-function. II
Lietuvos Matematikos Rinkinys, 2016 In the paper, we prove a limit theorem of discrete type on the weak convergence of probability measures on the complex plane for the periodic Hurwitz zeta-function.
Audronė Rimkevičienė
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The Zeta and Related Functions: Recent Developments
Journal of Advanced Engineering and Computation, 2019 The main object of this survey-cum-expository article is to present an overview of some recent developments involving the Riemann Zeta function ζ(s), the Hurwitz (or generalized) Zeta function ζ(s, a), and the Hurwitz-Lerch Zeta function Φ(z, s, a ...
H. M. Srivastava
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Discrete universality theorems for the Hurwitz zeta-function
Journal of Approximation Theory, 2014 Denote by \(\zeta(s, \alpha)\) the Hurwitz zeta function where as usual \(s = \sigma + it \in\mathbb{C}\) and \(0 < \alpha\leq 1\). Let \(D := \{s\in \mathbb{C}: \frac12 < \sigma < 1\}\) and denote by \(H(D)\) the space of analytic functions on \(D\) endowed with the topology of uniform convergence.
Eugenijus Buivydas +3 more
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Remainder Padé Approximants for the Hurwitz Zeta Function [PDF]
Results in Mathematics, 2019 Following our earlier research, we use the method introduced by the author in \cite{prevost1996} named Remainder Padé Approximant in \cite{rivoalprevost}, to construct approximations of the Hurwitz zeta function. We prove that these approximations are convergent on the positive real line. Applications to new rational approximations of $ζ(2)$ and $ζ(3)$
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Double Euler Sums on Hurwitz Zeta Functions
Rocky Mountain Journal of Mathematics, 2009 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Eie, Minking, Liaw, Wen-Chin
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On a Weighted Series of the Hurwitz Zeta Function
, 2023 In this note we prove that for all $a \in \mathbb{N}$, $x \in \mathbb{R}_+ \cup \{0\}$, and $s \in \mathbb{C}$ with $\Re(s) > a + 2$, the (alternating) weighted series of the Hurwitz zeta function, $$ \sum_{k \geq 1} (\pm 1)^k (k + x)^a\zeta(s,k + x), $$
Fox, Matthew, Karamchedu, Chaitanya
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On Generalized Hurwitz-Lerch Zeta Distributions [PDF]
, 2009 In this paper, we introduce a function which is an extension to the general Hurwitz-Lerch Zeta function. Having defined the incomplete generalized beta type-2 and incomplete generalized gamma functions, some differentiation formulae are established for ...
Jain, Kumkum +2 more
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