On Some Properties of Orthogonal Polynomials over an Area in Domains of the Complex Plane. II

We investigate polynomials that are orthonormal with weight over the area of a domain with quasiconformal boundary. We obtain new exact estimates for the growth rate of these polynomials.

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Date:2001
Main Authors: Abdullayev, F. G., Абдуллаев, Ф. Г.
Format: Article
Language:Russian
English
Published: Institute of Mathematics, NAS of Ukraine 2001
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/4215
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal
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author Abdullayev, F. G.
Абдуллаев, Ф. Г.
Абдуллаев, Ф. Г.
author_facet Abdullayev, F. G.
Абдуллаев, Ф. Г.
Абдуллаев, Ф. Г.
author_sort Abdullayev, F. G.
baseUrl_str https://umj.imath.kiev.ua/index.php/umj/oai
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datestamp_date 2020-03-18T20:25:00Z
description We investigate polynomials that are orthonormal with weight over the area of a domain with quasiconformal boundary. We obtain new exact estimates for the growth rate of these polynomials.
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spelling umjimathkievua-article-42152020-03-18T20:25:00Z On Some Properties of Orthogonal Polynomials over an Area in Domains of the Complex Plane. II О некоторых свойствах ортогональных по площади полиномов в областях комплексной плоскости. II Abdullayev, F. G. Абдуллаев, Ф. Г. Абдуллаев, Ф. Г. We investigate polynomials that are orthonormal with weight over the area of a domain with quasiconformal boundary. We obtain new exact estimates for the growth rate of these polynomials. Досліджуються поліноми, ортонормальні з вагою по площі області із квазіконформною межею. Отримано нові точні оцінки швидкості зростання цих поліномів. Institute of Mathematics, NAS of Ukraine 2001-01-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/4215 Ukrains’kyi Matematychnyi Zhurnal; Vol. 53 No. 1 (2001); 3-13 Український математичний журнал; Том 53 № 1 (2001); 3-13 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/4215/5134 https://umj.imath.kiev.ua/index.php/umj/article/view/4215/5135 Copyright (c) 2001 Abdullayev F. G.
spellingShingle Abdullayev, F. G.
Абдуллаев, Ф. Г.
Абдуллаев, Ф. Г.
On Some Properties of Orthogonal Polynomials over an Area in Domains of the Complex Plane. II
title On Some Properties of Orthogonal Polynomials over an Area in Domains of the Complex Plane. II
title_alt О некоторых свойствах ортогональных по площади полиномов в областях комплексной плоскости. II
title_full On Some Properties of Orthogonal Polynomials over an Area in Domains of the Complex Plane. II
title_fullStr On Some Properties of Orthogonal Polynomials over an Area in Domains of the Complex Plane. II
title_full_unstemmed On Some Properties of Orthogonal Polynomials over an Area in Domains of the Complex Plane. II
title_short On Some Properties of Orthogonal Polynomials over an Area in Domains of the Complex Plane. II
title_sort on some properties of orthogonal polynomials over an area in domains of the complex plane. ii
url https://umj.imath.kiev.ua/index.php/umj/article/view/4215
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