Results 101 to 110 of about 550,652 (221)
IET Control Theory &Applications, Volume 19, Issue 1, January/December 2025.This paper combines a prescribed performance function with a non‐singular fast terminal sliding mode control technique to improve wheeled mobile robots' control performance under wheel slipping, wheel skidding, and external disturbances. A novel prescribed performance non‐singular fast terminal sliding function and a novel finite‐time prescribed ...
Van‐Cuong Nguyen +2 more
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Derivatives of the Hurwitz Zeta function for rational arguments
Journal of Computational and Applied Mathematics, 1998 The functional equation for the Hurwitz Zeta function ζ(s,a) is used to obtain formulas for derivatives of ζ(s,a) at negative odd s and rational a. For several of these rational arguments, closed-form expressions are given in terms of simpler transcendental functions, like the logarithm, the polygamma function, and the Riemann Zeta function.
Victor Adamchik, Jeff Miller
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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
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A Fractional Order Model for HIV/AIDS With Treatment and Optimal Control Using Caputo Derivative
International Journal of Mathematics and Mathematical Sciences, Volume 2025, Issue 1, 2025.In this paper, we are concerned with a deterministic Caputo fractional derivative mathematical model of HIV/AIDS with treatment and optimal control. We formulate a mathematical model that contains six compartments (including primary infection and treatment) and show that the model is well‐posed. We calculate the reproduction number and free and endemic
Abdul-Aziz Hussein +2 more
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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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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
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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
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 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 +2 more
doaj
On extended Hurwitz–Lerch zeta function
Journal of Mathematical Analysis and Applications, 2017 Abstract This paper investigates an extended form of a beta function B p , q ( x , y ) . We first study the convergence problem of the function B p , q ( x , y ) and consider the completely monotonic and log-convex properties of this function. As a result, we obtain a pair of Laguerre type inequalities. Next,
Ravinder Krishna Raina +2 more
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