New differentiability criteria for complex-valued functions
A theorem is proved which states that the existence of the asymptotic limit of $f_{\overline{z}}$ as $z \rightarrow z_0$ implies that the complex-valued function $f(z)$ is $\mathbb{R}$-differentiable at $z_0$.
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| Datum: | 1994 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Russisch Englisch |
| Veröffentlicht: |
Institute of Mathematics, NAS of Ukraine
1994
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/5729 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860511954313936896 |
|---|---|
| author | Alikulov, E. O. Аликулов, Э. О. Аликулов, Э. О. |
| author_facet | Alikulov, E. O. Аликулов, Э. О. Аликулов, Э. О. |
| author_sort | Alikulov, E. O. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-19T09:16:47Z |
| description | A theorem is proved which states that the existence of the asymptotic limit of $f_{\overline{z}}$ as $z \rightarrow z_0$ implies that the complex-valued function $f(z)$ is $\mathbb{R}$-differentiable at $z_0$. |
| first_indexed | 2026-03-24T03:21:06Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-5729 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T03:21:06Z |
| publishDate | 1994 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/e7/5b53c1161d02decede47ca48ee8e83e7.pdf |
| spelling | umjimathkievua-article-57292020-03-19T09:16:47Z New differentiability criteria for complex-valued functions Новые критерии дифферецируемости комплекснозначных функций Alikulov, E. O. Аликулов, Э. О. Аликулов, Э. О. A theorem is proved which states that the existence of the asymptotic limit of $f_{\overline{z}}$ as $z \rightarrow z_0$ implies that the complex-valued function $f(z)$ is $\mathbb{R}$-differentiable at $z_0$. Доведена теорема, в якій з існування асимптотичної границі $f_{\overline{z}}$ при $z \rightarrow z_0$ витікає $\mathbb{R}$- диференційовність комплексної функції $f(z)$ в $z_0$. Institute of Mathematics, NAS of Ukraine 1994-04-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5729 Ukrains’kyi Matematychnyi Zhurnal; Vol. 46 No. 4 (1994); 329–337 Український математичний журнал; Том 46 № 4 (1994); 329–337 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/5729/8143 https://umj.imath.kiev.ua/index.php/umj/article/view/5729/8144 Copyright (c) 1994 Alikulov E. O. |
| spellingShingle | Alikulov, E. O. Аликулов, Э. О. Аликулов, Э. О. New differentiability criteria for complex-valued functions |
| title | New differentiability criteria for complex-valued functions |
| title_alt | Новые критерии дифферецируемости комплекснозначных функций |
| title_full | New differentiability criteria for complex-valued functions |
| title_fullStr | New differentiability criteria for complex-valued functions |
| title_full_unstemmed | New differentiability criteria for complex-valued functions |
| title_short | New differentiability criteria for complex-valued functions |
| title_sort | new differentiability criteria for complex-valued functions |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/5729 |
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