On Some Properties of Orthogonal Polynomials over an Area in Domains of the Complex Plane. I
We establish conditions for the interference of singularities of a weight function and a contour for orthogonal polynomials over the area of a domain. We obtain new estimates for the rate of growth of these polynomials, which depend on the singularities of the weight function and the contour.
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| Datum: | 2000 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Russisch Englisch |
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Institute of Mathematics, NAS of Ukraine
2000
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/4562 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860510702096089088 |
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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 |
| collection | OJS |
| datestamp_date | 2020-03-18T20:31:34Z |
| description | We establish conditions for the interference of singularities of a weight function and a contour for orthogonal polynomials over the area of a domain. We obtain new estimates for the rate of growth of these polynomials, which depend on the singularities of the weight function and the contour. |
| first_indexed | 2026-03-24T03:01:11Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-4562 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T03:01:11Z |
| publishDate | 2000 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/06/c08488906b12d2659c4caefda3e3be06.pdf |
| spelling | umjimathkievua-article-45622020-03-18T20:31:34Z On Some Properties of Orthogonal Polynomials over an Area in Domains of the Complex Plane. I О некоторых свойствах ортогональных по площади полиномов в областях комплексной плоскости. I Abdullayev, F. G. Абдуллаев, Ф. Г. Абдуллаев, Ф. Г. We establish conditions for the interference of singularities of a weight function and a contour for orthogonal polynomials over the area of a domain. We obtain new estimates for the rate of growth of these polynomials, which depend on the singularities of the weight function and the contour. Знайдено умови інтерференції особливостей ваги та контуру для ортогональних за площею області поліномів. Отримано нові оцінки швидкості зростання цих поліномів, які залежать від особливостей ваги та контуру. Institute of Mathematics, NAS of Ukraine 2000-12-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/4562 Ukrains’kyi Matematychnyi Zhurnal; Vol. 52 No. 12 (2000); 1587-1595 Український математичний журнал; Том 52 № 12 (2000); 1587-1595 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/4562/5828 https://umj.imath.kiev.ua/index.php/umj/article/view/4562/5829 Copyright (c) 2000 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. I |
| title | On Some Properties of Orthogonal Polynomials over an Area in Domains of the Complex Plane. I |
| title_alt | О некоторых свойствах ортогональных по площади полиномов в областях комплексной плоскости. I |
| title_full | On Some Properties of Orthogonal Polynomials over an Area in Domains of the Complex Plane. I |
| title_fullStr | On Some Properties of Orthogonal Polynomials over an Area in Domains of the Complex Plane. I |
| title_full_unstemmed | On Some Properties of Orthogonal Polynomials over an Area in Domains of the Complex Plane. I |
| title_short | On Some Properties of Orthogonal Polynomials over an Area in Domains of the Complex Plane. I |
| title_sort | on some properties of orthogonal polynomials over an area in domains of the complex plane. i |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/4562 |
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