A generalization of the Lindelöf theorem
We present a generalization of the Lindelöf theorem on conditions that should be imposed on the coefficients of the Taylor series of an entire transcendental function ƒ in order that the relation \(ln M_f (r) - \tau r^\rho , r \to \infty , M_f (r) = \max \left\{ {\left| {f(r)} \right|:|z| = r} \ri...
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| Datum: | 1998 |
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| Hauptverfasser: | , , , |
| Format: | Artikel |
| Sprache: | Ukrainisch Englisch |
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Institute of Mathematics, NAS of Ukraine
1998
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/4834 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860511011831808000 |
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| author | Zabolotskii, N. V. Sheremeta, M. M. Заболоцький, М. В. Шеремета, М. М. |
| author_facet | Zabolotskii, N. V. Sheremeta, M. M. Заболоцький, М. В. Шеремета, М. М. |
| author_sort | Zabolotskii, N. V. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T21:15:33Z |
| description | We present a generalization of the Lindelöf theorem on conditions that should be imposed on the coefficients of the Taylor series of an entire transcendental function ƒ in order that the relation \(ln M_f (r) - \tau r^\rho , r \to \infty , M_f (r) = \max \left\{ {\left| {f(r)} \right|:|z| = r} \right\}\) , be satisfied. |
| first_indexed | 2026-03-24T03:06:07Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-4834 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | Ukrainian English |
| last_indexed | 2026-03-24T03:06:07Z |
| publishDate | 1998 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/fe/4eb1faf785e7c5db8c020886304fd0fe.pdf |
| spelling | umjimathkievua-article-48342020-03-18T21:15:33Z A generalization of the Lindelöf theorem Узагальнення теореми Ліндельофа Zabolotskii, N. V. Sheremeta, M. M. Заболоцький, М. В. Шеремета, М. М. We present a generalization of the Lindelöf theorem on conditions that should be imposed on the coefficients of the Taylor series of an entire transcendental function ƒ in order that the relation \(ln M_f (r) - \tau r^\rho , r \to \infty , M_f (r) = \max \left\{ {\left| {f(r)} \right|:|z| = r} \right\}\) , be satisfied. Наведено узагальнення теореми E. Ліндельофа про умови на коефіцієнти ряду Тейлора цілої трансцендентної функції $ ƒ $ для виконання співвідношення $\ln M_f(r)−τrρ, r → ∞, M_f(r) = \max\{|f(r)|:|z| = r\}$. Institute of Mathematics, NAS of Ukraine 1998-09-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/4834 Ukrains’kyi Matematychnyi Zhurnal; Vol. 50 No. 9 (1998); 1177–1192 Український математичний журнал; Том 50 № 9 (1998); 1177–1192 1027-3190 uk en https://umj.imath.kiev.ua/index.php/umj/article/view/4834/6367 https://umj.imath.kiev.ua/index.php/umj/article/view/4834/6368 Copyright (c) 1998 Zabolotskii N. V.; Sheremeta M. M. |
| spellingShingle | Zabolotskii, N. V. Sheremeta, M. M. Заболоцький, М. В. Шеремета, М. М. A generalization of the Lindelöf theorem |
| title | A generalization of the Lindelöf theorem |
| title_alt | Узагальнення теореми Ліндельофа |
| title_full | A generalization of the Lindelöf theorem |
| title_fullStr | A generalization of the Lindelöf theorem |
| title_full_unstemmed | A generalization of the Lindelöf theorem |
| title_short | A generalization of the Lindelöf theorem |
| title_sort | generalization of the lindelöf theorem |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/4834 |
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