Asymptotics of Blaschke Products the Counting Function of Zeros of Which Is Slowly Increasing
We find the asymptotics as z→ 1 for the Blaschke product with positive zeros the counting function of which n(t) is slowly increasing, i.e., n((t+ 1)/2) ∼ n(t) as t→ 1.
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| Дата: | 2000 |
|---|---|
| Автори: | , |
| Формат: | Стаття |
| Мова: | Українська Англійська |
| Опубліковано: |
Institute of Mathematics, NAS of Ukraine
2000
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| Онлайн доступ: | https://umj.imath.kiev.ua/index.php/umj/article/view/4569 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Репозитарії
Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860510715495841792 |
|---|---|
| author | Zabolotskii, N. V. Заболоцький, М. В. |
| author_facet | Zabolotskii, N. V. Заболоцький, М. В. |
| author_sort | Zabolotskii, N. V. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T20:31:34Z |
| description | We find the asymptotics as z→ 1 for the Blaschke product with positive zeros the counting function of which n(t) is slowly increasing, i.e., n((t+ 1)/2) ∼ n(t) as t→ 1. |
| first_indexed | 2026-03-24T03:01:24Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-4569 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | Ukrainian English |
| last_indexed | 2026-03-24T03:01:24Z |
| publishDate | 2000 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/c8/280bfd915a5d5b6d4d9c95bab1923fc8.pdf |
| spelling | umjimathkievua-article-45692020-03-18T20:31:34Z Asymptotics of Blaschke Products the Counting Function of Zeros of Which Is Slowly Increasing Асимптотика добутків Бляшке, лічильна функція нулів яких є повільно зростаючою Zabolotskii, N. V. Заболоцький, М. В. We find the asymptotics as z→ 1 for the Blaschke product with positive zeros the counting function of which n(t) is slowly increasing, i.e., n((t+ 1)/2) ∼ n(t) as t→ 1. Знайдено асимптотику при $z→ 1$ добутку Бляшке з додатними нулями, лічильна функція $n(t)$ яких є повільно зростаючою, тобто $n((t+ 1)/2) ∼ n(t)$ при $t → 1$. Institute of Mathematics, NAS of Ukraine 2000-12-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/4569 Ukrains’kyi Matematychnyi Zhurnal; Vol. 52 No. 12 (2000); 1650-1660 Український математичний журнал; Том 52 № 12 (2000); 1650-1660 1027-3190 uk en https://umj.imath.kiev.ua/index.php/umj/article/view/4569/5842 https://umj.imath.kiev.ua/index.php/umj/article/view/4569/5843 Copyright (c) 2000 Zabolotskii N. V. |
| spellingShingle | Zabolotskii, N. V. Заболоцький, М. В. Asymptotics of Blaschke Products the Counting Function of Zeros of Which Is Slowly Increasing |
| title | Asymptotics of Blaschke Products the Counting Function of Zeros of Which Is Slowly Increasing |
| title_alt | Асимптотика добутків Бляшке, лічильна функція нулів яких є повільно зростаючою |
| title_full | Asymptotics of Blaschke Products the Counting Function of Zeros of Which Is Slowly Increasing |
| title_fullStr | Asymptotics of Blaschke Products the Counting Function of Zeros of Which Is Slowly Increasing |
| title_full_unstemmed | Asymptotics of Blaschke Products the Counting Function of Zeros of Which Is Slowly Increasing |
| title_short | Asymptotics of Blaschke Products the Counting Function of Zeros of Which Is Slowly Increasing |
| title_sort | asymptotics of blaschke products the counting function of zeros of which is slowly increasing |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/4569 |
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