Results 101 to 110 of about 32,458 (230)
New inequalities for the Hurwitz zeta function
Proceedings Mathematical Sciences, 2008 We establish various new inequalities for the Hurwitz zeta function. Our results generalize some known results for the polygamma functions to the Hurwitz zeta function.
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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 +2 more
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IET Control Theory &Applications, Volume 19, Issue 1, January/December 2025.The paper proposes a fixed‐time fault‐tolerant dynamic formation control scheme for heterogeneous multi‐agent systems (HMAS) consisting of both uncrewed ground vehicles (UGVs) and uncrewed aerial vehicles (UAVs) to collaboratively monitor wildfires in the presence of actuator faults and communication link faults. It utilizes a fixed‐time extended state
Joewell T. Mawanza
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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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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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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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