Results 21 to 30 of about 531,187 (203)

Controlled Loewner-Kufarev Equation Embedded into the Universal Grassmannian [PDF]

open access: yes, 2020
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
core   +3 more sources

On Row Sequences of Hermite–Padé Approximation and Its Generalizations

open access: yesMathematics, 2020
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
doaj   +1 more source

Approximation of Analytic Functions by Universal Vallee-Poussin Sums on the Chebyshev Polynomials

open access: yesИзвестия Иркутского государственного университета: Серия "Математика", 2018
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
doaj   +1 more source

Approximation in Smirnov-Orlicz classes [PDF]

open access: yes, 2005
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
core   +1 more source

Asymptotic distribution of traces of singular moduli

open access: yesDiscrete Analysis, 2022
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
doaj   +1 more source

Jacobi polynomials as generalized Faber polynomials [PDF]

open access: yesTransactions of the American Mathematical Society, 1990
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 {
openaire   +1 more source

Effectiveness of transposed inverse sets in faber regions

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1983
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
doaj   +1 more source

On the Coefficient Problem of Meromorphic Harmonic Mappings

open access: yesDemonstratio Mathematica, 2014
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
doaj   +1 more source

Effectiveness of similar sets of polynomials of two complex variables in polycylinders and in Faber regions

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1998
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
doaj   +1 more source

On the boundedness of poles of generalized Padé approximants

open access: yesAdvances in Difference Equations, 2019
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
doaj   +1 more source

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