On One Criterion for the Holomorphy of an Arbitrary Mapping of a Plane Domain into a Plane
We prove the holomorphy of a function that, at every point, preserves either angles or dilations with respect to a certain set.
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| Date: | 2003 |
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| Main Authors: | , |
| Format: | Article |
| Language: | Russian English |
| Published: |
Institute of Mathematics, NAS of Ukraine
2003
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/3989 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860510121039233024 |
|---|---|
| author | Brodovich, M. T. Бродович, М. Т. Бродович, М. Т. |
| author_facet | Brodovich, M. T. Бродович, М. Т. Бродович, М. Т. |
| author_sort | Brodovich, M. T. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T20:18:03Z |
| description | We prove the holomorphy of a function that, at every point, preserves either angles or dilations with respect to a certain set. |
| first_indexed | 2026-03-24T02:51:57Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-3989 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T02:51:57Z |
| publishDate | 2003 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/80/1f15b27dcf349d797dc525c365ba7c80.pdf |
| spelling | umjimathkievua-article-39892020-03-18T20:18:03Z On One Criterion for the Holomorphy of an Arbitrary Mapping of a Plane Domain into a Plane Об одном критерии голоморфности произвольного отображения плоской области в плоскость Brodovich, M. T. Бродович, М. Т. Бродович, М. Т. We prove the holomorphy of a function that, at every point, preserves either angles or dilations with respect to a certain set. Доводиться голоморфність функції, що зберігає в кожній точці або куги, або розтяги відносно деякої множини. Institute of Mathematics, NAS of Ukraine 2003-09-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/3989 Ukrains’kyi Matematychnyi Zhurnal; Vol. 55 No. 9 (2003); 1155-1166 Український математичний журнал; Том 55 № 9 (2003); 1155-1166 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/3989/4690 https://umj.imath.kiev.ua/index.php/umj/article/view/3989/4691 Copyright (c) 2003 Brodovich M. T. |
| spellingShingle | Brodovich, M. T. Бродович, М. Т. Бродович, М. Т. On One Criterion for the Holomorphy of an Arbitrary Mapping of a Plane Domain into a Plane |
| title | On One Criterion for the Holomorphy of an Arbitrary Mapping of a Plane Domain into a Plane |
| title_alt | Об одном критерии голоморфности произвольного отображения плоской области в плоскость |
| title_full | On One Criterion for the Holomorphy of an Arbitrary Mapping of a Plane Domain into a Plane |
| title_fullStr | On One Criterion for the Holomorphy of an Arbitrary Mapping of a Plane Domain into a Plane |
| title_full_unstemmed | On One Criterion for the Holomorphy of an Arbitrary Mapping of a Plane Domain into a Plane |
| title_short | On One Criterion for the Holomorphy of an Arbitrary Mapping of a Plane Domain into a Plane |
| title_sort | on one criterion for the holomorphy of an arbitrary mapping of a plane domain into a plane |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/3989 |
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