Approximation by complex Stancu Beta operators of second kind in semidisks
In this paper, the exact order of simultaneous approximation and Voronovskaja kind results with quantitative estimate for the complex Stancu Beta operator of second kind attached to analytic functions of exponential growth in semidisks of the right
Sorin G. Gal, Vijay Gupta
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Moments of Real, Respectively of Complex Valued Functions, Approximation and Applications
The first aim of this study is to point out new aspects of approximation theory applied to a few classes of holomorphic functions via Vitali’s theorem.
Cristian Octav Olteanu
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Yang-Lee Zeros of the Ising model on Random Graphs of Non Planar Topology [PDF]
We obtain in a closed form the 1/N^2 contribution to the free energy of the two Hermitian N\times N random matrix model with non symmetric quartic potential. From this result, we calculate numerically the Yang-Lee zeros of the 2D Ising model on dynamical
Ambjorn +16 more
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High-energy photoemission final states beyond the free-electron approximation
Three-dimensional (3D) electronic band structure is fundamental for understanding a vast diversity of physical phenomena in solid-state systems, including topological phases, interlayer interactions in van der Waals materials, dimensionality-driven phase
V. N. Strocov +9 more
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We analyse a system in which, due to entanglement between the spin and spatial degrees of freedom, the reduced transmitted state has the shape of the freely propagating pulse translated in the complex co-ordinate plane.
A. I. Baz’ +5 more
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Simultaneous approximation and interpolation of functions on continua in the complex plane
21 page; submitted to J. Math.
Andrievskii, Vladimir V. +2 more
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Computation of Faber Series With Application to Numerical Polynomial Approximation in the Complex Plane [PDF]
Kövari and Pommerenke [19], and Elliott [8], have shown that the truncated Faber series gives a polynomial approximation which (for practical values of the degree of the polynomial) is very close to the best approximation. In this paper we discuss efficient Fast Fourier Transform (FFT) and recursive methods for the computation of Faber polynomials, and
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On The Pomeron at Large 't Hooft Coupling
We begin the process of unitarizing the Pomeron at large 't Hooft coupling. We do so first in the conformal regime, which applies to good accuracy to a number of real and toy problems in QCD.
A. Capella +32 more
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Simultaneous rational approximation of a function and its derivatives in the complex plane
Some aspects of simultaneous rational approximation of a function f(z) and its derivatives on the unit circle are investigated. The function f(z) is assumed to be analytic in some annulus containing the unit circle, and given a nonnegative integer \(\ell\), \(\| f\| =\max \{\| f^{(j)}\|_{p,1}:0\leq j\leq \ell \},\) where \(\| \cdot \|_{p,1}\) is the ...
Levin, A.L, Lubinsky, D.S
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A Note on Rational Approximation with Respect to Metrizable Compactifications of the Plane
In the present note we examine possible extensions of Runge, Mergelyan and Arakelian Theorems, when the uniform approximation is meant with respect to the metric ρ of a metrizable compactification (S, ρ) of the complex plane C.
M. Fragoulopoulou, V. Nestoridis
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