Results 71 to 80 of about 7,133 (231)

Nonfragile Sliding Mode Control of Fractional‐Order Complex Networked Systems via Combination Event‐Triggered Approach

International Journal of Robust and Nonlinear Control, Volume 35, Issue 13, Page 5685-5704, 10 September 2025.
ABSTRACT This work addresses the problem of developing a nonfragile sliding mode observer for fractional‐order complex networked systems (FO‐CNS) under stochastic network attacks. The proposed approach employs a combination of event‐triggered techniques. First, a nonfragile fractional‐order state observer is developed, enabling the design of a suitable
Xin Meng, Baoping Jiang, Hamid Reza Karimi   +2 more
wiley   +1 more source

Log-tangent integrals and the Riemann zeta function

Mathematical Modelling and Analysis, 2019
We show that integrals involving the log-tangent function, with respect to any square-integrable function on  , can be evaluated by the harmonic series. Consequently, several formulas and algebraic properties of the Riemann zeta function at odd positive ...
Lahoucine Elaissaoui, Zine El-Abidine Guennoun   +1 more
doaj   +1 more source

Sharp Inequalities for the Hurwitz Zeta Function

Rocky Mountain Journal of Mathematics, 2005
Let \[ Q_{n,m}(p,a)=\left ({\zeta(p,a) - \sum_{\nu=0}^{n}(\nu+a)^{-p}}\over{\zeta(p,a) - \sum_{\nu=0}^{m}(\nu+a)^{-p}}\right )^{1\over{p-1}}, \] where \(m,n\in {\mathbb Z}\) with \(m>n \geq 0, p>1, a>0\) and \(\zeta(s,a) (s\in{\mathbb C},a>0)\) denotes the Hurwitz zeta function.
openaire   +2 more sources

Complex B-splines and Hurwitz zeta functions [PDF]

LMS Journal of Computation and Mathematics, 2013
AbstractWe characterize nonempty open subsets of the complex plane where the sum $\zeta (s, \alpha )+ {e}^{\pm i\pi s} \hspace{0.167em} \zeta (s, 1- \alpha )$ of Hurwitz zeta functions has no zeros in $s$ for all $0\leq \alpha \leq 1$. This problem is motivated by the construction of fundamental cardinal splines of complex order $s$.
B. Forster, R. Garunkštis, P. Massopust, J. Steuding   +3 more
openaire   +1 more source

Interactions between universal composition operators and complex dynamics

Journal of the London Mathematical Society, Volume 112, Issue 3, September 2025.
Abstract This paper is concerned with universality properties of composition operators Cf$C_f$, where the symbol f$f$ is given by a transcendental entire function restricted to parts of its Fatou set. We determine universality of Cf$C_f$ when f$f$ is restricted to (subsets of) Baker and wandering domains.
Vasiliki Evdoridou, Clifford Gilmore, Myrto Manolaki   +2 more
wiley   +1 more source

Partial Sums of the Hurwitz and Allied Functions and Their Special Values

Mathematics
We supplement the formulas for partial sums of the Hurwitz zeta-function and its derivatives, producing more integral representations and generic definitions of important constants.
Nianliang Wang, Ruiyang Li, Takako Kuzumaki   +2 more
doaj   +1 more source

A Weighted Discrete Universality Theorem for Periodic Zeta-Functions. II

Mathematical Modelling and Analysis, 2017
In the paper, a weighted theorem on the approximation of a wide class of analytic functions by shifts ζ(s + ikαh; a), k ∈ N, 0 < α < 1, and h > 0, of the periodic zeta-function ζ(s; a) with multiplicative periodic sequence a, is obtained.
Renata Macaitienė, Mindaugas Stoncelis, Darius Šiaučiūnas   +2 more
doaj   +1 more source

Taking limits in topological recursion

Journal of the London Mathematical Society, Volume 112, Issue 3, September 2025.
Abstract When does topological recursion applied to a family of spectral curves commute with taking limits? This problem is subtle, especially when the ramification structure of the spectral curve changes at the limit point. We provide sufficient (straightforward‐to‐use) conditions for checking when the commutation with limits holds, thereby closing a ...
Gaëtan Borot, Vincent Bouchard, Nitin Kumar Chidambaram, Reinier Kramer, Sergey Shadrin   +4 more
wiley   +1 more source

A Weighted Universality Theorem for Periodic Zeta-Functions

Mathematical Modelling and Analysis, 2017
The periodic zeta-function ζ(s; a), s = σ + it is defined for σ > 1 by the Dirichlet series with periodic coefficients and is meromorphically continued to the whole complex plane.
Renata Macaitienė, Mindaugas Stoncelis, Darius Šiaučiūnas   +2 more
doaj   +1 more source

Stability and Hopf Bifurcations Analysis in a Three‐Phase Dengue Diffusion Model With Time Delay in Fractional Derivative and Laplace–Adomian Decomposition Numerical Approach

Mathematical Methods in the Applied Sciences, Volume 48, Issue 12, Page 11630-11651, August 2025.
ABSTRACT This study examines the complex dynamics of dengue transmission by incorporating time delay into a comprehensive model. The model is designed to capture several essential components, including steady‐state events, immune waning, recuperation from infection, and partial shielding in human populations.
G. M. Vijayalakshmi, M. Ariyanatchi, Vediyappan Govindan, Haewon Byeon, Busayamas Pimpunchat   +4 more
wiley   +1 more source