Description of sequences of zeros of one class of functions analytic in a half-plane
We describe sequences of zeros of functions ƒ ≠ 0 that are analytic in the right half-plane and satisfy the condition ¦ƒ(z)¦ ≤ 0(1) exp (σ¦ z ¦η(¦ z ¦)), 0 ≤ 0, where η: [0; + ∞) → (- ∞; + ∞) is a function of bounded variation.
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| Date: | 1998 |
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| Main Authors: | , , , |
| Format: | Article |
| Language: | Ukrainian English |
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Institute of Mathematics, NAS of Ukraine
1998
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/4833 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860511010879700992 |
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| author | Vynnyts’kyi, B. V. Sharan, V.L. Винницький, Б. В. Шаран, В. Л. |
| author_facet | Vynnyts’kyi, B. V. Sharan, V.L. Винницький, Б. В. Шаран, В. Л. |
| author_sort | Vynnyts’kyi, B. V. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T21:15:33Z |
| description | We describe sequences of zeros of functions ƒ ≠ 0 that are analytic in the right half-plane and satisfy the condition ¦ƒ(z)¦ ≤ 0(1) exp (σ¦ z ¦η(¦ z ¦)), 0 ≤ 0, where η: [0; + ∞) → (- ∞; + ∞) is a function of bounded variation. |
| first_indexed | 2026-03-24T03:06:06Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-4833 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | Ukrainian English |
| last_indexed | 2026-03-24T03:06:06Z |
| publishDate | 1998 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/16/ce1d9add9f65b7b6c29435090df76c16.pdf |
| spelling | umjimathkievua-article-48332020-03-18T21:15:33Z Description of sequences of zeros of one class of functions analytic in a half-plane Опис послідовностей пулів одного класу функцій, аналітичних у півплощині Vynnyts’kyi, B. V. Sharan, V.L. Винницький, Б. В. Шаран, В. Л. We describe sequences of zeros of functions ƒ ≠ 0 that are analytic in the right half-plane and satisfy the condition ¦ƒ(z)¦ ≤ 0(1) exp (σ¦ z ¦η(¦ z ¦)), 0 ≤ 0, where η: [0; + ∞) → (- ∞; + ∞) is a function of bounded variation. Описано послідовності нулів аналітичних у правій півплощині функцій $ƒ ≠ 0$, які задовольняють умову $ ¦ƒ(z)¦ ≤ 0(1) \exp (σ¦ z ¦η(¦ z ¦)), 0 ≤ 0$, де $η: [0; + ∞) → (- ∞; + ∞)$— функція обмеженої варіації. Institute of Mathematics, NAS of Ukraine 1998-09-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/4833 Ukrains’kyi Matematychnyi Zhurnal; Vol. 50 No. 9 (1998); 1169–1176 Український математичний журнал; Том 50 № 9 (1998); 1169–1176 1027-3190 uk en https://umj.imath.kiev.ua/index.php/umj/article/view/4833/6365 https://umj.imath.kiev.ua/index.php/umj/article/view/4833/6366 Copyright (c) 1998 Vynnyts’kyi B. V.; Sharan V.L. |
| spellingShingle | Vynnyts’kyi, B. V. Sharan, V.L. Винницький, Б. В. Шаран, В. Л. Description of sequences of zeros of one class of functions analytic in a half-plane |
| title | Description of sequences of zeros of one class of functions analytic in a half-plane |
| title_alt | Опис послідовностей пулів одного класу функцій,
аналітичних у півплощині |
| title_full | Description of sequences of zeros of one class of functions analytic in a half-plane |
| title_fullStr | Description of sequences of zeros of one class of functions analytic in a half-plane |
| title_full_unstemmed | Description of sequences of zeros of one class of functions analytic in a half-plane |
| title_short | Description of sequences of zeros of one class of functions analytic in a half-plane |
| title_sort | description of sequences of zeros of one class of functions analytic in a half-plane |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/4833 |
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