Results 51 to 60 of about 2,151 (201)
An extension of q-zeta function
International Journal of Mathematics and Mathematical Sciences, 2004 We will define the extension of q-Hurwitz zeta function due to Kim and Rim (2000) and study its properties. Finally, we lead to a useful new integral representation for the q-zeta function.
T. Kim, L. C. Jang, S. H. Rim
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A mixed joint universality theorem for zeta‐functions
Mathematical Modelling and Analysis, 2010 In the paper, a joint universality theorem for the Riemann zeta‐function and a collection of periodic Hurwitz zeta‐functions on approximation of analytic functions is obtained.
Jonas Genys +3 more
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Zeros of the Hurwitz zeta function in the interval (0,1) [PDF]
, 2011 We first give a condition on the parameters $s,w$ under which the Hurwitz zeta function $\zeta(s,w)$ has no zeros and is actually negative. As a corollary we derive that it is nonzero for $w\geq 1$ and $s\in(0,1)$ and, as a particular instance, the known
Schipani, D
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Optimal Homogeneous ℒp$$ {\boldsymbol{\mathcal{L}}}_{\boldsymbol{p}} $$‐Gain Controller
International Journal of Robust and Nonlinear Control, EarlyView.ABSTRACT Nonlinear ℋ∞$$ {\mathscr{H}}_{\infty } $$‐controllers are designed for arbitrarily weighted, continuous homogeneous systems with a focus on systems affine in the control input. Based on the homogeneous ℒp$$ {\mathcal{L}}_p $$‐norm, the input–output behavior is quantified in terms of the homogeneous ℒp$$ {\mathcal{L}}_p $$‐gain as a ...
Daipeng Zhang +3 more
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A Mixed Joint Universality Theorem for Zeta-Functions. II
Mathematical Modelling and Analysis, 2014 In the paper, a joint universality theorem on the approximation of analytic functions for zeta-function of a normalized Hecke eigen cusp form and a collection of periodic Hurwitz zeta-functions with algebraically independent parameters is obtained.
Vaida Pocevičienė +1 more
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JOINT UNIVERSALITY OF HURWITZ ZETA-FUNCTIONS [PDF]
Bulletin of the Australian Mathematical Society, 2012 AbstractIt is well known that Hurwitz zeta-functions with algebraically independent parameters over the field of rational numbers are universal in the sense that their shifts approximate simultaneously any collection of analytic functions. In this paper we introduce some classes of universal composite functions of a collection of Hurwitz zeta-functions.
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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 $s$.
Brigitte Forster +3 more
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Sliding Mode Control in Aerospace Applications: A Survey
International Journal of Robust and Nonlinear Control, EarlyView.ABSTRACT Sliding mode control (SMC) enjoys robustness to matched and unmatched (in the case of minimum phase input‐output dynamics) bounded perturbations, and finite time convergence. Second‐order and higher‐order sliding mode control systems (2‐SMC/HOSMC) retain all the advantages of sliding mode control, but in addition can be applied to systems of ...
Yuri Shtessel, Christopher Edwards
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A weighted limit theorem for periodic Hurwitz zeta-function
Lietuvos Matematikos Rinkinys, 2012 In the paper, a weighted limit theorem for weakly convergent probability measures on the complex plane for the periodic Hurwitz zeta function is obtained.
Oleg Lukašonok
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Output Gap Uncertainty, Sovereign Risk Premia and the Contingent Importance of the Bond Vigilantes
Metroeconomica, EarlyView.ABSTRACT This paper investigates the implications of output gap uncertainty for the conduct of fiscal policy using a small‐scale macroeconomic model with boundedly rational agents. Specifically, agents use an adaptive updating mechanism to approximate the unobservable potential output that suffers, similarly to the Hodrick and Prescott (1997) filter ...
Christian R. Proaño, Jonas Dix
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