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.

Gespeichert in:
Bibliographische Detailangaben
Datum:2001
Hauptverfasser: Abdullayev, F. G., Абдуллаев, Ф. Г.
Format: Artikel
Sprache:Russisch
Englisch
Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2001
Online Zugang:https://umj.imath.kiev.ua/index.php/umj/article/view/4215
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Назва журналу:Ukrains’kyi Matematychnyi Zhurnal
Завантажити файл: Pdf

Institution

Ukrains’kyi Matematychnyi Zhurnal
_version_ 1860510344516993024
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
collection OJS
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.
first_indexed 2026-03-24T02:55:30Z
format Article
fulltext 0001 0002 0003 0004 0005 0006 0007 0008 0009 0001 0002
id umjimathkievua-article-4215
institution Ukrains’kyi Matematychnyi Zhurnal
keywords_txt_mv keywords
language rus
English
last_indexed 2026-03-24T02:55:30Z
publishDate 2001
publisher Institute of Mathematics, NAS of Ukraine
record_format ojs
resource_txt_mv umjimathkievua/d2/1bdb843fb7aec36decd6ddd33e444ad2.pdf
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
work_keys_str_mv AT abdullayevfg onsomepropertiesoforthogonalpolynomialsoveranareaindomainsofthecomplexplaneii
AT abdullaevfg onsomepropertiesoforthogonalpolynomialsoveranareaindomainsofthecomplexplaneii
AT abdullaevfg onsomepropertiesoforthogonalpolynomialsoveranareaindomainsofthecomplexplaneii
AT abdullayevfg onekotoryhsvojstvahortogonalʹnyhpoploŝadipolinomovvoblastâhkompleksnojploskostiii
AT abdullaevfg onekotoryhsvojstvahortogonalʹnyhpoploŝadipolinomovvoblastâhkompleksnojploskostiii
AT abdullaevfg onekotoryhsvojstvahortogonalʹnyhpoploŝadipolinomovvoblastâhkompleksnojploskostiii