Results 51 to 60 of about 5,487,207 (196)
A Mixed Joint Universality Theorem for Zeta-Functions. II
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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Gradient‐ and Newton‐Based Unit Vector Extremum Seeking Control
ABSTRACT This paper proposes new methods for stable and efficient convergence in multivariable extremum seeking control (ESC) using sliding mode techniques. Inspired by classical sliding modes and finite‐time control, the approach integrates these ideas into gradient‐ and Newton‐based ESC schemes with sinusoidal perturbations.
Roberto Luo +3 more
wiley +1 more source
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
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Remainder Padé Approximants for the Hurwitz Zeta Function [PDF]
Following our earlier research, we use the method introduced by the author in \cite{prevost1996} named Remainder Padé Approximant in \cite{rivoalprevost}, to construct approximations of the Hurwitz zeta function. We prove that these approximations are convergent on the positive real line. Applications to new rational approximations of $ζ(2)$ and $ζ(3)$
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Output Gap Uncertainty, Sovereign Risk Premia and the Contingent Importance of the Bond Vigilantes
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
wiley +1 more source
Universality Theorems for Some Composite Functions
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
Integral representations of the hurwitz zeta-function. [PDF]
Integral representations of the Hurwitz zeta ...
Požaricka, Lilija,
core
Pseudo, or Not? Neo‐Goodwinian Growth Cycles With Financial Linkages
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
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
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Sharp Inequalities for the Hurwitz Zeta Function
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.
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