On deviations and defects of meromorphic functions of finite lower order
We obtain estimates for the sum of deviations and sum of defects to power 1/2 in terms of the Valiron defect of the derivative at zero. In particular, the Fuchs hypothesis (1958) is verified.
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| Дата: | 1999 |
|---|---|
| Автори: | , |
| Формат: | Стаття |
| Мова: | Російська Англійська |
| Опубліковано: |
Institute of Mathematics, NAS of Ukraine
1999
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| Онлайн доступ: | https://umj.imath.kiev.ua/index.php/umj/article/view/4666 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Репозитарії
Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860510823677427712 |
|---|---|
| author | Marchenko, I. I. Марченко, И. И. Марченко, И. И. |
| author_facet | Marchenko, I. I. Марченко, И. И. Марченко, И. И. |
| author_sort | Marchenko, I. I. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T21:11:00Z |
| description | We obtain estimates for the sum of deviations and sum of defects to power 1/2 in terms of the Valiron defect of the derivative at zero. In particular, the Fuchs hypothesis (1958) is verified. |
| first_indexed | 2026-03-24T03:03:07Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-4666 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T03:03:07Z |
| publishDate | 1999 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/7d/3c6c2a7408bd06b4e1cc81fd368ab87d.pdf |
| spelling | umjimathkievua-article-46662020-03-18T21:11:00Z On deviations and defects of meromorphic functions of finite lower order Об отклонениях и дефектах мероморфных функций конечного нижнего порядка Marchenko, I. I. Марченко, И. И. Марченко, И. И. We obtain estimates for the sum of deviations and sum of defects to power 1/2 in terms of the Valiron defect of the derivative at zero. In particular, the Fuchs hypothesis (1958) is verified. Одержано оцінки для суми відхилень і суми дефектів у степені 1/2 через валіронівський дефект похідної в нулі. Зокрема, підтверджено гіпотезу В. Фукса (1958). Institute of Mathematics, NAS of Ukraine 1999-06-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/4666 Ukrains’kyi Matematychnyi Zhurnal; Vol. 51 No. 6 (1999); 796–803 Український математичний журнал; Том 51 № 6 (1999); 796–803 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/4666/6034 https://umj.imath.kiev.ua/index.php/umj/article/view/4666/6035 Copyright (c) 1999 Marchenko I. I. |
| spellingShingle | Marchenko, I. I. Марченко, И. И. Марченко, И. И. On deviations and defects of meromorphic functions of finite lower order |
| title | On deviations and defects of meromorphic functions of finite lower order |
| title_alt | Об отклонениях и дефектах мероморфных функций конечного нижнего порядка |
| title_full | On deviations and defects of meromorphic functions of finite lower order |
| title_fullStr | On deviations and defects of meromorphic functions of finite lower order |
| title_full_unstemmed | On deviations and defects of meromorphic functions of finite lower order |
| title_short | On deviations and defects of meromorphic functions of finite lower order |
| title_sort | on deviations and defects of meromorphic functions of finite lower order |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/4666 |
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