Weak and Strong Asymptotics of Orthogonal Polynomials with «Varying» Weight

Alexander Ivanovich Aptekarev

Type: Article

Publication Date: 2021-10-23

Citations: 1

DOI: https://doi.org/10.22363/2413-3639-2021-67-3-427-441

Abstract

We consider sequences of orthogonal polynomials with varying weights, i.e., depending on the number of the polynomial. We obtain extensions of applicability classes of well-known asymptotic formulas for large numbers.

Locations

Contemporary Mathematics Fundamental Directions - View - PDF

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Works Cited by This (18)

Action	Title	Year	Authors
+	General Orthogonal Polynomials	1992	Herbert Stahl Вилмос Тотик
+ PDF Chat	Weighted Approximation with Varying Weight	1994	Вилмос Тотик
+	Orthogonal Polynomials and Random Matrices: A Riemann-Hilbert Approach	2000	Percy Deift
+	Multi-Linear Multipliers Associated to Simplexes of Arbitrary Length	2014	Camil Muscalu Terence Tao Christoph Thiele
+	Multiple orthogonal polynomials	1998	Alexander Ivanovich Aptekarev
+	ASYMPTOTICS OF SIMULTANEOUSLY ORTHOGONAL POLYNOMIALS IN THE ANGELESCO CASE	1989	Alexander Ivanovich Aptekarev
+	ON THE SPEED OF RATIONAL APPROXIMATION OF SOME ANALYTIC FUNCTIONS	1978	A A Gončar
+	Logarithmic Potentials with External Fields	1997	Edward B. Saff Вилмос Тотик
+	Strong asymptotics of multiply orthogonal polynomials for Nikishin systems	1999	Alexander Ivanovich Aptekarev
+	EQUILIBRIUM MEASURE AND THE DISTRIBUTION OF ZEROS OF EXTREMAL POLYNOMIALS	1986	A A Gonchar Евгений Андреевич Рахманов