Integral representation of an analytic function in a ring and its applications
An integral representation of an analytic function in a ring with corresponding limit values on the boundary is obtained. A new singular integral equation is suggested and solved in quadratures by using an integral representation and by complete investigation of the Cárleman problem for a ring (in t...
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| Datum: | 1995 |
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| Hauptverfasser: | , , , |
| Format: | Artikel |
| Sprache: | Russisch Englisch |
| Veröffentlicht: |
Institute of Mathematics, NAS of Ukraine
1995
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/5420 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860511651987456000 |
|---|---|
| author | Kerekesha, P. V. Cherskii, Yu. I. Керекеша, П. В. Черский, Ю. И. Керекеша, П. В. Черский, Ю. И. |
| author_facet | Kerekesha, P. V. Cherskii, Yu. I. Керекеша, П. В. Черский, Ю. И. Керекеша, П. В. Черский, Ю. И. |
| author_sort | Kerekesha, P. V. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-19T08:59:05Z |
| description | An integral representation of an analytic function in a ring with corresponding limit values on the boundary is obtained. A new singular integral equation is suggested and solved in quadratures by using an integral representation and by complete investigation of the Cárleman problem for a ring (in the normal case). |
| first_indexed | 2026-03-24T03:16:17Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-5420 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T03:16:17Z |
| publishDate | 1995 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/65/c6186fa7c00dc012c4c6116e27796f65.pdf |
| spelling | umjimathkievua-article-54202020-03-19T08:59:05Z Integral representation of an analytic function in a ring and its applications Интегральное представление аналитической функции в кольце и его приложение Kerekesha, P. V. Cherskii, Yu. I. Керекеша, П. В. Черский, Ю. И. Керекеша, П. В. Черский, Ю. И. An integral representation of an analytic function in a ring with corresponding limit values on the boundary is obtained. A new singular integral equation is suggested and solved in quadratures by using an integral representation and by complete investigation of the Cárleman problem for a ring (in the normal case). Одержано інтегральне зображення аналітичної функції в кільці з відповідними граничними значеннями на межі. Запропоноване нове сингулярне інтегральне рівняння, яке завдяки інтегральному зображенню і повному дослідженню задачі Карлемана для кільця (в нормальному випадку) розв'язано в квадратурах. Institute of Mathematics, NAS of Ukraine 1995-03-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5420 Ukrains’kyi Matematychnyi Zhurnal; Vol. 47 No. 3 (1995); 322–329 Український математичний журнал; Том 47 № 3 (1995); 322–329 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/5420/7529 https://umj.imath.kiev.ua/index.php/umj/article/view/5420/7530 Copyright (c) 1995 Kerekesha P. V.; Cherskii Yu. I. |
| spellingShingle | Kerekesha, P. V. Cherskii, Yu. I. Керекеша, П. В. Черский, Ю. И. Керекеша, П. В. Черский, Ю. И. Integral representation of an analytic function in a ring and its applications |
| title | Integral representation of an analytic function in a ring and its applications |
| title_alt | Интегральное представление аналитической функции
в кольце и его приложение |
| title_full | Integral representation of an analytic function in a ring and its applications |
| title_fullStr | Integral representation of an analytic function in a ring and its applications |
| title_full_unstemmed | Integral representation of an analytic function in a ring and its applications |
| title_short | Integral representation of an analytic function in a ring and its applications |
| title_sort | integral representation of an analytic function in a ring and its applications |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/5420 |
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