Results 61 to 70 of about 2,151 (201)

A NEW EXTENSION OF THE HURWITZ- LERCH ZETA FUNCTION AND PROPERTIES USING THE EXTENDED BETA FUNCTION \(B_{p,q}^{(ρ,σ,τ)}(x,y)\)

open access: yesمجلّة جامعة عدن للعلوم الأساسيّة والتّطبيقيّة, 2020
The purpose of present paper is to introduce a new extension of Hurwitz-Lerch Zeta function by using the extended Beta function. Some recurrence relations, generating relations and integral representations are derived for that new extension.
Salem Saleh Barahmah
doaj   +1 more source

Pseudo, or Not? Neo‐Goodwinian Growth Cycles With Financial Linkages

open access: yesMetroeconomica, EarlyView.
ABSTRACT A profit‐led Goodwin mechanism generates the observed counterclockwise activity–labor share cycle. Introducing a financial linkage can reproduce this pattern even when demand is not profit‐led. This paper extends neo‐Goodwinian theory by incorporating the valuation ratio into a four‐dimensional model.
Rudiger von Arnim, Luis Felipe Eick
wiley   +1 more source

Some Weighted Sum Formulas for Multiple Zeta, Hurwitz Zeta, and Alternating Multiple Zeta Values

open access: yesJournal of Mathematics, 2021
We perform a further investigation for the multiple zeta values and their variations and generalizations in this paper. By making use of the method of the generating functions and some connections between the higher-order trigonometric functions and the ...
Yuan He, Zhuoyu Chen
doaj   +1 more source

Note on the Hurwitz zeta-function [PDF]

open access: yesProceedings of the American Mathematical Society, 1951
Received by the editors June 10, 1950. 1 This work is an offshoot of investigations carried out under the auspices of the Office of Naval Research, Contract N9-ONR90,000. 2 B. Riemann, Ueber die Anzahl der Primzahlen unter einer gegebenen Grbsse, Monatsberichte der Preussischeni Akademie der Wissenschaften (1859, 1860) pp. 671680. 3A.
openaire   +2 more sources

Adaptive mixing formation control of multiquadrotor unmanned aerial vehicle systems

open access: yesAsian Journal of Control, Volume 28, Issue 3, Page 1073-1085, May 2026.
Abstract This paper presents a distributed adaptive mixing control (AMC) design for formation maintenance of systems of multiquadrotor UAVs (q‐UAVs) during commanded path‐tracking maneuvers. The proposed formation control scheme has a two‐level structure. The high level defines the desired trajectories for rigid and persistent formation acquisition and
Nasrettin Köksal   +2 more
wiley   +1 more source

Universality Theorems for Some Composite Functions

open access: yesMathematical Modelling and Analysis, 2016
In [5], it was proved that a collection consisting from Dirichlet L-functions and periodic Hurwitz zeta-functions is universal in the sense that the shifts of those functions approximate simultaneously a given collection of analytic functions.
Kęstutis Janulis   +3 more
doaj   +1 more source

Sharp Inequalities for the Hurwitz Zeta Function

open access: yesRocky 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

On the product of Hurwitz zeta-functions

open access: yesProceedings of the Japan Academy, Series A, Mathematical Sciences, 2017
Corresponding to the lattice point problem for a random sphere Kendall and Rankin [8], Nakajima [9] considered the summatory function of the coefficients of the product of two Hurwitz zeta-functions and obtained the Bessel series expression. In this note we treat the case of the product of $\varkappa$ Hurwitz zeta-functions for an arbitrary integer ...
Wang, Nian Liang, Banerjee, Soumyarup
openaire   +2 more sources

A Covert Cyber‐Attack Framework and Detection on Communication Links in Linear Multi‐Agent Cyber‐Physical Systems

open access: yesEngineering Reports, Volume 8, Issue 5, May 2026.
A covert attack architecture and detection approach in communication networks for homogenous and linear multi‐agent systems (MASs). A residual‐based detection method, exploiting a Kamlan filter observer and extra dynamic, is proposed to detect covert attacks on agents' communication channels.
Mohammad Tahmasbi
wiley   +1 more source

Eco‐Epidemiological Mathematical Model Analysis With Time Delays and Hopf Bifurcation

open access: yesNatural Resource Modeling, Volume 39, Issue 2, May 2026.
ABSTRACT Ecological and infection predator prey mathematical model is important tool for understanding complex systems and forecasting outcomes biologically. Incorporating saturation mass action incidence rates representing the rate of susceptible prey infection as a function of time along with time delay terms, makes more realistic and reflective of ...
Solomon Molla Alemu   +2 more
wiley   +1 more source

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