Results 91 to 100 of about 7,129 (230)

On approximation of analytic functions by periodic Hurwitz zeta-functions

Mathematical Modelling and Analysis, 2019
The periodic Hurwitz zeta-function ζ(s, α; a), s = σ +it, with parameter 0 < α ≤ 1 and periodic sequence of complex numbers a = {am } is defined, for σ > 1, by series sum from m=0 to ∞ am / (m+α)s, and can be continued moromorphically to the whole ...
Violeta Franckevič, Antanas Laurinčikas, Darius Siaučiūnas   +2 more
doaj   +1 more source

A new generalization of the Riemann zeta function and its difference equation

Advances in Difference Equations, 2011
We have introduced a new generalization of the Riemann zeta function. A special case of our generalization converges locally uniformly to the Riemann zeta function in the critical strip.
Qadir Asghar, Tassaddiq Asifa, Chaudhry Muhammad   +2 more
doaj  

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 ...
Ferreira, Chelo, López, José L.
openaire   +2 more sources

A discrete version of the Mishou theorem related to periodic zeta-functions

Mathematical Modelling and Analysis
In 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, Mindaugas Jasas, Audronė Rimkevičienė   +2 more
doaj   +1 more source

On the modification of the universality of the Hurwitz zeta-function

Nonlinear Analysis, 2016
In the paper, the lower limit in the universality inequality for the Hurwitz zeta-function is replaced by an ordinary limit. The cases of continuous and discrete universalities are considered.
Antanas Laurinčikas, Laimonas Meška
doaj   +1 more source

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
doaj   +1 more source

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
doaj   +1 more source

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

The Ramanujan Journal, 2010
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Joint limit theorems for periodic Hurwitz zeta-function. II [PDF]

, 2013
Gintautas Misevičius, Audronė Rimkevičienė   +1 more
openalex   +1 more source

The Hurwitz Zeta Function as a Convergent Series

Rocky Mountain Journal of Mathematics, 2006
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Dwilewicz, Roman, Mináč, Ján
openaire   +3 more sources