Calculation of the indicator of an entire function of rational order in terms of its taylor coefficients
By using both the Pólya theorem on the connection between the growth of an entire exponential function and the location of singularities of its Borel transform and the analog of this result for finite-order entire functions (due to Mclntyre), we obtain estimates for the indicator of the growth of an...
Збережено в:
| Дата: | 1993 |
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| Автори: | , |
| Формат: | Стаття |
| Мова: | Російська Англійська |
| Опубліковано: |
Institute of Mathematics, NAS of Ukraine
1993
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| Онлайн доступ: | https://umj.imath.kiev.ua/index.php/umj/article/view/5873 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860512093552246784 |
|---|---|
| author | Braichev, G. G. Брайчев, Г. Г. Брайчев, Г. Г. |
| author_facet | Braichev, G. G. Брайчев, Г. Г. Брайчев, Г. Г. |
| author_sort | Braichev, G. G. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-19T09:19:41Z |
| description | By using both the Pólya theorem on the connection between the growth of an entire exponential function and the location of singularities of its Borel transform and the analog of this result for finite-order entire functions (due to Mclntyre), we obtain estimates for the indicator of the growth of an entire function in terms of its Taylor coefficients and, in some cases, determine this indicator exactly. |
| first_indexed | 2026-03-24T03:23:18Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-5873 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T03:23:18Z |
| publishDate | 1993 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/ed/4b447282436089f4d6e164432f2434ed.pdf |
| spelling | umjimathkievua-article-58732020-03-19T09:19:41Z Calculation of the indicator of an entire function of rational order in terms of its taylor coefficients Вычисление индикатора целой функции дробного порядка по ее коэффициентам Тейлора Braichev, G. G. Брайчев, Г. Г. Брайчев, Г. Г. By using both the Pólya theorem on the connection between the growth of an entire exponential function and the location of singularities of its Borel transform and the analog of this result for finite-order entire functions (due to Mclntyre), we obtain estimates for the indicator of the growth of an entire function in terms of its Taylor coefficients and, in some cases, determine this indicator exactly. Спираючись на теорему Поля про зв’язок між ростом цілої показникової функції та розташуванням особливостей її перетворення Бореля, а також на доведений А. Макінтайром аналог цього результату для цілих функцій скінченного порядку, наводяться оцінки і в деяких випадках точно обчислюється індикатор зростання цілої функції за її коеффіцієнтами Тейлора. Institute of Mathematics, NAS of Ukraine 1993-06-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5873 Ukrains’kyi Matematychnyi Zhurnal; Vol. 45 No. 6 (1993); 854–858 Український математичний журнал; Том 45 № 6 (1993); 854–858 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/5873/8429 https://umj.imath.kiev.ua/index.php/umj/article/view/5873/8430 Copyright (c) 1993 Braichev G. G. |
| spellingShingle | Braichev, G. G. Брайчев, Г. Г. Брайчев, Г. Г. Calculation of the indicator of an entire function of rational order in terms of its taylor coefficients |
| title | Calculation of the indicator of an entire function of rational order in terms of its taylor coefficients |
| title_alt | Вычисление индикатора целой функции дробного порядка по ее коэффициентам Тейлора |
| title_full | Calculation of the indicator of an entire function of rational order in terms of its taylor coefficients |
| title_fullStr | Calculation of the indicator of an entire function of rational order in terms of its taylor coefficients |
| title_full_unstemmed | Calculation of the indicator of an entire function of rational order in terms of its taylor coefficients |
| title_short | Calculation of the indicator of an entire function of rational order in terms of its taylor coefficients |
| title_sort | calculation of the indicator of an entire function of rational order in terms of its taylor coefficients |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/5873 |
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