On a Two-Point Version of Transfinite Diameter
We study properties of a two-point version of the transfinite diameter of a set. By using relations obtained for its calculation, we prove a two-point version of the well-known Pólya theorem on an estimate from above for the Hankel determinants of a holomorphic function.
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| Date: | 2001 |
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| Main Authors: | , |
| Format: | Article |
| Language: | Russian English |
| Published: |
Institute of Mathematics, NAS of Ukraine
2001
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/4333 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860510465026686976 |
|---|---|
| author | Buslaeva, S. F. Буслаева, С. Ф. Буслаева, С. Ф. |
| author_facet | Buslaeva, S. F. Буслаева, С. Ф. Буслаева, С. Ф. |
| author_sort | Buslaeva, S. F. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T20:26:49Z |
| description | We study properties of a two-point version of the transfinite diameter of a set. By using relations obtained for its calculation, we prove a two-point version of the well-known Pólya theorem on an estimate from above for the Hankel determinants of a holomorphic function. |
| first_indexed | 2026-03-24T02:57:25Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-4333 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T02:57:25Z |
| publishDate | 2001 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/1e/c02402ee4050f052af7308ba02e8bb1e.pdf |
| spelling | umjimathkievua-article-43332020-03-18T20:26:49Z On a Two-Point Version of Transfinite Diameter О двухточечном варианте трансфинитного диаметра Buslaeva, S. F. Буслаева, С. Ф. Буслаева, С. Ф. We study properties of a two-point version of the transfinite diameter of a set. By using relations obtained for its calculation, we prove a two-point version of the well-known Pólya theorem on an estimate from above for the Hankel determinants of a holomorphic function. Вивчаються властивості двоточкового варіанта трансфіиітного діаметра множин. На основі одержаних формул для його обчислення доведено двоточковий варіант відомої теореми Поліа про оцінку зверху ганкелевих визначників голоморфної функції. Institute of Mathematics, NAS of Ukraine 2001-09-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/4333 Ukrains’kyi Matematychnyi Zhurnal; Vol. 53 No. 9 (2001); 1155-1160 Український математичний журнал; Том 53 № 9 (2001); 1155-1160 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/4333/5370 https://umj.imath.kiev.ua/index.php/umj/article/view/4333/5371 Copyright (c) 2001 Buslaeva S. F. |
| spellingShingle | Buslaeva, S. F. Буслаева, С. Ф. Буслаева, С. Ф. On a Two-Point Version of Transfinite Diameter |
| title | On a Two-Point Version of Transfinite Diameter |
| title_alt | О двухточечном варианте трансфинитного диаметра |
| title_full | On a Two-Point Version of Transfinite Diameter |
| title_fullStr | On a Two-Point Version of Transfinite Diameter |
| title_full_unstemmed | On a Two-Point Version of Transfinite Diameter |
| title_short | On a Two-Point Version of Transfinite Diameter |
| title_sort | on a two-point version of transfinite diameter |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/4333 |
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