Semi–group of conformal mappings of the upper half–plane onto itself with the hydrodynamic normalization at infinity
The objects of this study are holomorphic functions, univalent in the upper half–plane, which are complex potentials of infinitely deep flows over a flat bottom with unperturbed flow at infinity. The semigroup of all such functions is determined and its infinitesimal description given.
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| Date: | 1992 |
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| Main Authors: | , , |
| Format: | Article |
| Language: | Russian |
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Institute of Mathematics, NAS of Ukraine
1992
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/8227 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860512986025689088 |
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| author | Горяйнов, В. В. Ба, И. Ba, I. |
| author_facet | Горяйнов, В. В. Ба, И. Ba, I. |
| author_sort | Горяйнов, В. В. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2024-03-27T09:55:23Z |
| description | The objects of this study are holomorphic functions, univalent in the upper half–plane, which are complex potentials of infinitely deep flows over a flat bottom with unperturbed flow at infinity. The semigroup of all such functions is determined and its infinitesimal description given. |
| first_indexed | 2026-03-24T03:37:30Z |
| format | Article |
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| id | umjimathkievua-article-8227 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus |
| last_indexed | 2026-03-24T03:37:30Z |
| publishDate | 1992 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/28/0b12c041a771cb0b877389f7c5cbbe28.pdf |
| spelling | umjimathkievua-article-82272024-03-27T09:55:23Z Semi–group of conformal mappings of the upper half–plane onto itself with the hydrodynamic normalization at infinity Полугруппа конформных отображений верхней полуплоскости в себя с гидродинамической нормировкой на бесконечности Горяйнов, В. В. Ба, И. Ba, I. The objects of this study are holomorphic functions, univalent in the upper half–plane, which are complex potentials of infinitely deep flows over a flat bottom with unperturbed flow at infinity. The semigroup of all such functions is determined and its infinitesimal description given. Изучаются голоморфные однолистные в верхней полуплоскости функции, которые представляют собой комплексные потенциалы бесконечно глубоких течений над плоским дном с невозмущенным потоком на бесконечности. Выделяется полугруппа таких функций и дается ее инфинитезимальное описание. Вивчаються голоморфні однолисті у верхній півплощині функції, які є комплексними потенціалами нескінченно глибоких течій над плоским дном з незбуреною течією на нескінченності. Вилучається півгрупа таких функцій і надається її інфінітезимальний опис. Institute of Mathematics, NAS of Ukraine 1992-10-01 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/8227 Ukrains’kyi Matematychnyi Zhurnal; Vol. 44 No. 10 (1992); 1320-1329 Український математичний журнал; Том 44 № 10 (1992); 1320-1329 1027-3190 rus https://umj.imath.kiev.ua/index.php/umj/article/view/8227/9807 Copyright (c) 1992 В. В. Горяйнов, I. Ba |
| spellingShingle | Горяйнов, В. В. Ба, И. Ba, I. Semi–group of conformal mappings of the upper half–plane onto itself with the hydrodynamic normalization at infinity |
| title | Semi–group of conformal mappings of the upper half–plane onto itself with the hydrodynamic normalization at infinity |
| title_alt | Полугруппа конформных отображений верхней полуплоскости в себя с гидродинамической нормировкой на бесконечности |
| title_full | Semi–group of conformal mappings of the upper half–plane onto itself with the hydrodynamic normalization at infinity |
| title_fullStr | Semi–group of conformal mappings of the upper half–plane onto itself with the hydrodynamic normalization at infinity |
| title_full_unstemmed | Semi–group of conformal mappings of the upper half–plane onto itself with the hydrodynamic normalization at infinity |
| title_short | Semi–group of conformal mappings of the upper half–plane onto itself with the hydrodynamic normalization at infinity |
| title_sort | semi–group of conformal mappings of the upper half–plane onto itself with the hydrodynamic normalization at infinity |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/8227 |
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