Results 11 to 20 of about 181 (148)
Sharp inequalities for coherent states and their optimizers
We are interested in sharp functional inequalities for the coherent state transform related to the Wehrl conjecture and its generalizations. This conjecture was settled by Lieb in the case of the Heisenberg group, Lieb and Solovej for SU(2), and Kulikov ...
Frank Rupert L.
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A Flexible Extended Krylov Subspace Method for Approximating Markov Functions of Matrices
A flexible extended Krylov subspace method (F-EKSM) is considered for numerical approximation of the action of a matrix function f(A) to a vector b, where the function f is of Markov type.
Shengjie Xu, Fei Xue
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On Faber Polynomials Generated by An m-Star [PDF]
In this paper, we study the Faber polynomials F n
Bartolomeo, J., He, Matthew
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On Row Sequences of Hermite–Padé Approximation and Its Generalizations
Hermite−Padé approximation has been a mainstay of approximation theory since the concept was introduced by Charles Hermite in his proof of the transcendence of e in 1873.
Nattapong Bosuwan
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Jacobi polynomials as generalized Faber polynomials [PDF]
Let B {\mathbf {B}}
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Approximation of Analytic Functions by Universal Vallee-Poussin Sums on the Chebyshev Polynomials
As it is known, Chebyshev polynomials provide the best uniform approach of a function. They are a special case of Faber polynomials. A. I. Shvay (1973) proved that the Vallee-Poussin sums are the best approach apparatus in comparison with the partial ...
L.K. Dodunova, A.A. Ageikin
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Faber Polynomials And Poincaré Series [PDF]
In this paper we consider weakly holomorphic modular forms (i.e. those meromorphic modular forms for which poles only possibly occur at the cusps) of weight $2-k\in 2\Z$ for the full modular group $\SL_2(\Z)$. The space has a distinguished set of generators $f_{m,2-k}$.
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Asymptotic distribution of traces of singular moduli
Asymptotic distribution of traces of singular moduli, Discrete Analysis 2022:4, 14 pp. This paper concerns the modular $j$-function, a famous function that is fundamental to algebraic number theory and has remarkable connections to other areas of ...
Nickolas Andersen, William Duke
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Effectiveness of transposed inverse sets in faber regions
The effectiveness properties, in Faber regions, of the transposed inverse of a given basic set of polynominals, are investigated in the present paper. A certain inevitable normalizing substitution, is first formulated, to be undergone by the given set to
J. A. Adepoju, M. Nassif
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On the Coefficient Problem of Meromorphic Harmonic Mappings
In this paper, we shall study estimates for the coefficients an, n = 1,2 of a class of univalent harmonic mappings defined on the exterior of the unit disk Ũ = { z : |z| > 1 }, which keep infinity fixed.
Widomski Jarosław
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