Results 61 to 70 of about 320 (178)
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
Modeling Prey–Predator Populations With Noise Following the Extended Gaussian Distribution
Journal of Probability and Statistics, Volume 2026, Issue 1, 2026.This study examines how tourism influences the ecological balance of a protected natural park where two interacting wildlife species follow Lotka–Volterra‐type prey–predator dynamics. Tourists’ decisions to visit the park depend on environmental fluctuations, species visibility, and time‐varying preferences toward prey and predator populations.
Kumlachew Wubale Tesfaw +3 more
wiley +1 more source
Euler Numbers and Polynomials Associated with Zeta Functions
Abstract and Applied Analysis, 2008 For s∈ℂ, the Euler zeta function and the Hurwitz-type Euler zeta function are defined by ζE(s)=2∑n=1∞((−1)n/ns), and ζE(s,x)=2∑n=0∞((−1)n/(n+x)s). Thus, we note that the Euler zeta functions are entire functions in whole complex s-plane, and these zeta ...
Taekyun Kim
doaj +1 more source
Some approximations with Hurwitz zeta function
Filomat, 2020 In this paper, we focus on some approximations with Hurwitz zeta function. By using these approximations, we present some asymptotic formulae related to Hurwitz zeta function. As an application, we give two corollaries related to Bernoulli polynomials.
openaire +3 more sources
Structure theorems for braided Hopf algebras
Journal of Topology, Volume 18, Issue 4, December 2025.Abstract We develop versions of the Poincaré–Birkhoff–Witt and Cartier–Milnor–Moore theorems in the setting of braided Hopf algebras. To do so, we introduce new analogs of a Lie algebra in the setting of a braided monoidal category, using the notion of a braided operad.
Craig Westerland
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 +1 more
doaj +1 more source
International Journal for Numerical Methods in Engineering, Volume 126, Issue 21, 15 November 2025.ABSTRACT The numerical stability of the u‐p formulation‐based dynamic soil‐water coupled analysis was evaluated using the spectral radius of a simultaneous recursive equation derived from the spatiotemporally discretized governing equations and time‐integration formulas.
Tomohiro Toyoda, Toshihiro Noda
wiley +1 more source
On a generalization of Euler's constant [PDF]
Surveys in Mathematics and its Applications, 2021 A one parameter generalization of Euler's constant γ from [Numer. Algorithms 46(2) (2007) 141--151] is investigated, and additional expressions for γ are derived.
Stephen Kaczkowski
doaj
Journal of Geophysical Research: Solid Earth, Volume 130, Issue 11, November 2025.Abstract The scoria cones called Formica Leo located at the base of the Piton de la Fournaise terminal cone have been chosen for its significant positive Self‐Potential (SP) anomalies associated with hydrothermal uprising fluids to monitor SP signal and study its dynamics in relation with huge and extreme rainfall events.
Emilie Roulleau +12 more
wiley +1 more source
Fractional Gaussian Noise: Spectral Density and Estimation Methods
Journal of Time Series Analysis, Volume 46, Issue 6, Page 1146-1174, November 2025.The fractional Brownian motion (fBm) process, governed by a fractional parameter H∈(0,1)$$ H\in \left(0,1\right) $$, is a continuous‐time Gaussian process with its increment being the fractional Gaussian noise (fGn). This article first provides a computationally feasible expression for the spectral density of fGn.
Shuping Shi, Jun Yu, Chen Zhang
wiley +1 more source