Malmquist theorem for solutions of differential equations in a neighborhood of a logarithmic singular point
The Malmquist theorem (1913) on the growth of meromorphic solutions of the differential equation f ′ = P(z,f) / Q(z,f), where P(z,f) and Q(z,f) are polynomials in all variables, is proved for the case of meromorphic solutions with logarithmic singularity at infinity.
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| Datum: | 2004 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Russisch Englisch |
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Institute of Mathematics, NAS of Ukraine
2004
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/3769 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860509900073861120 |
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| author | Mokhonko, A. A. Мохонько, А. А. Мохонько, А. А. |
| author_facet | Mokhonko, A. A. Мохонько, А. А. Мохонько, А. А. |
| author_sort | Mokhonko, A. A. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T20:08:07Z |
| description | The Malmquist theorem (1913) on the growth of meromorphic solutions of the differential equation f ′ = P(z,f) / Q(z,f), where P(z,f) and Q(z,f) are polynomials in all variables, is proved for the case of meromorphic solutions with logarithmic singularity at infinity. |
| first_indexed | 2026-03-24T02:48:26Z |
| format | Article |
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| id | umjimathkievua-article-3769 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T02:48:26Z |
| publishDate | 2004 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/7b/aef0c981b6e96a7bc3cef1cc8521cc7b.pdf |
| spelling | umjimathkievua-article-37692020-03-18T20:08:07Z Malmquist theorem for solutions of differential equations in a neighborhood of a logarithmic singular point Теорема Мальмквиста для решений дифференциальных уравнений в окрестности логарифмической особой точки Mokhonko, A. A. Мохонько, А. А. Мохонько, А. А. The Malmquist theorem (1913) on the growth of meromorphic solutions of the differential equation f ′ = P(z,f) / Q(z,f), where P(z,f) and Q(z,f) are polynomials in all variables, is proved for the case of meromorphic solutions with logarithmic singularity at infinity. Теорема Мальмкніста (1913) про ріст мероморфних розв'язків дифереінціального рівняння $f ′ = P(z,f) / Q(z,f)$, де $P(z,f), Q(z,f)$ є поліномами за всіма змінними, доводиться для випадку мероморфних розв'язків з логарифмічною особливою точкою у нескінченності. Institute of Mathematics, NAS of Ukraine 2004-04-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/3769 Ukrains’kyi Matematychnyi Zhurnal; Vol. 56 No. 4 (2004); 476–483 Український математичний журнал; Том 56 № 4 (2004); 476–483 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/3769/4260 https://umj.imath.kiev.ua/index.php/umj/article/view/3769/4261 Copyright (c) 2004 Mokhonko A. A. |
| spellingShingle | Mokhonko, A. A. Мохонько, А. А. Мохонько, А. А. Malmquist theorem for solutions of differential equations in a neighborhood of a logarithmic singular point |
| title | Malmquist theorem for solutions of differential equations in a neighborhood of a logarithmic singular point |
| title_alt | Теорема Мальмквиста для решений дифференциальных уравнений в окрестности логарифмической особой точки |
| title_full | Malmquist theorem for solutions of differential equations in a neighborhood of a logarithmic singular point |
| title_fullStr | Malmquist theorem for solutions of differential equations in a neighborhood of a logarithmic singular point |
| title_full_unstemmed | Malmquist theorem for solutions of differential equations in a neighborhood of a logarithmic singular point |
| title_short | Malmquist theorem for solutions of differential equations in a neighborhood of a logarithmic singular point |
| title_sort | malmquist theorem for solutions of differential equations in a neighborhood of a logarithmic singular point |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/3769 |
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