Three-Term Recurrence Relation for Polynomials Orthogonal with Respect to Harmonic Measure
We prove that a three-term recurrence relation for analytic polynomials orthogonal with respect to harmonic measure in a simply connected domain G exists if and only if ∂G is an ellipse.
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| Дата: | 2001 |
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| Автори: | , |
| Формат: | Стаття |
| Мова: | Російська Англійська |
| Опубліковано: |
Institute of Mathematics, NAS of Ukraine
2001
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| Онлайн доступ: | https://umj.imath.kiev.ua/index.php/umj/article/view/4231 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Репозитарії
Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860510361213468672 |
|---|---|
| author | Dovgoshei, A. A. Довгошей, А. А. Довгошей, А. А. |
| author_facet | Dovgoshei, A. A. Довгошей, А. А. Довгошей, А. А. |
| author_sort | Dovgoshei, A. A. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T20:25:08Z |
| description | We prove that a three-term recurrence relation for analytic polynomials orthogonal with respect to harmonic measure in a simply connected domain G exists if and only if ∂G is an ellipse. |
| first_indexed | 2026-03-24T02:55:46Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-4231 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T02:55:46Z |
| publishDate | 2001 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/55/315e38d8209b05f05861346bf17cfb55.pdf |
| spelling | umjimathkievua-article-42312020-03-18T20:25:08Z Three-Term Recurrence Relation for Polynomials Orthogonal with Respect to Harmonic Measure Трехчленная рекуррентная формула для многочленов, ортогональных относительно гармонической меры Dovgoshei, A. A. Довгошей, А. А. Довгошей, А. А. We prove that a three-term recurrence relation for analytic polynomials orthogonal with respect to harmonic measure in a simply connected domain G exists if and only if ∂G is an ellipse. Доведено, що тричленна рекурентна формула для аналітичних многочленів, ортогональних відносно гармонічної міри в одиозв'язпій області G, буде існувати тоді і тільки тоді, коли ∂G — еліпс. Institute of Mathematics, NAS of Ukraine 2001-02-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/4231 Ukrains’kyi Matematychnyi Zhurnal; Vol. 53 No. 2 (2001); 147-155 Український математичний журнал; Том 53 № 2 (2001); 147-155 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/4231/5166 https://umj.imath.kiev.ua/index.php/umj/article/view/4231/5167 Copyright (c) 2001 Dovgoshei A. A. |
| spellingShingle | Dovgoshei, A. A. Довгошей, А. А. Довгошей, А. А. Three-Term Recurrence Relation for Polynomials Orthogonal with Respect to Harmonic Measure |
| title | Three-Term Recurrence Relation for Polynomials Orthogonal with Respect to Harmonic Measure |
| title_alt | Трехчленная рекуррентная формула для многочленов, ортогональных
относительно гармонической меры |
| title_full | Three-Term Recurrence Relation for Polynomials Orthogonal with Respect to Harmonic Measure |
| title_fullStr | Three-Term Recurrence Relation for Polynomials Orthogonal with Respect to Harmonic Measure |
| title_full_unstemmed | Three-Term Recurrence Relation for Polynomials Orthogonal with Respect to Harmonic Measure |
| title_short | Three-Term Recurrence Relation for Polynomials Orthogonal with Respect to Harmonic Measure |
| title_sort | three-term recurrence relation for polynomials orthogonal with respect to harmonic measure |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/4231 |
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