Results 21 to 30 of about 531,187 (203)
Controlled Loewner-Kufarev Equation Embedded into the Universal Grassmannian [PDF]
We introduce the class of controlled Loewner-Kufarev equations and consider aspects of their algebraic nature. We lift the solution of such a controlled equation to the (Sato)-Segal-Wilson Grassmannian, and discuss its relation with the tau-function.
Amaba, Takafumi, Friedrich, Roland
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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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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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Approximation in Smirnov-Orlicz classes [PDF]
We use the approximation properties of the Faber polynomials to obtain some direct theorems of the polynomial approximation in Smirnov-Orlicz ...
Burcin Oktay +2 more
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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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Jacobi polynomials as generalized Faber polynomials [PDF]
Let B {\mathbf {B}} be an open bounded subset of the complex z z -plane with closure B ¯ \overline {\mathbf {B}} whose complement B ¯ c {
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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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In the present paper we investigate the effectiveness of similar sets of polynomials of two complex variables in polycylinder and in Faber regions of the four dimensional space E4.
K. A. M. Sayyed, M. S. Metwally
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On the boundedness of poles of generalized Padé approximants
Given a function F holomorphic on a neighborhood of some compact subset of the complex plane, we prove that if the zeros of the denominators of generalized Padé approximants (orthogonal Padé approximants and Padé–Faber approximants) for some row sequence
Nattapong Bosuwan
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