Valiron-type and valiron-titchmarsh-type theorems for entire functions of order zero
By using known asymptotics of the counting function of zeros of an entire function f of order zero, we determine the asymptotics of In f under the condition that all zeros off lie on the same ray. The inverse problem is also analyzed.
Saved in:
| Date: | 1996 |
|---|---|
| Main Authors: | , |
| Format: | Article |
| Language: | Ukrainian English |
| Published: |
Institute of Mathematics, NAS of Ukraine
1996
|
| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/5329 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
| Download file: |  |
Institution
Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860511551213010944 |
|---|---|
| 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 | 2020-03-18T21:30:31Z |
| description | By using known asymptotics of the counting function of zeros of an entire function f of order zero, we determine the asymptotics of In f under the condition that all zeros off lie on the same ray. The inverse problem is also analyzed. |
| first_indexed | 2026-03-24T03:14:41Z |
| format | Article |
| fulltext |
0027
0028
0029
0030
0031
0032
0033
0034
0035
0036
0037
|
| id | umjimathkievua-article-5329 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | Ukrainian English |
| last_indexed | 2026-03-24T03:14:41Z |
| publishDate | 1996 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/cd/6b99dda1ad2747310400ac6cf807f3cd.pdf |
| spelling | umjimathkievua-article-53292020-03-18T21:30:31Z Valiron-type and valiron-titchmarsh-type theorems for entire functions of order zero Теореми типу Валірона та Валірона — Тітчмарша для цілих функцій нульового порядку Zabolotskii, N. V. Заболоцький, М. В. By using known asymptotics of the counting function of zeros of an entire function f of order zero, we determine the asymptotics of In f under the condition that all zeros off lie on the same ray. The inverse problem is also analyzed. За відомою асимптотикою рахуючої функції нулів цілої функції f нульового порядку знайдено асимптотику In f при умові, що нулі f лежать на одному промені. Розглядається також обернена задача. Institute of Mathematics, NAS of Ukraine 1996-03-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5329 Ukrains’kyi Matematychnyi Zhurnal; Vol. 48 No. 3 (1996); 315-325 Український математичний журнал; Том 48 № 3 (1996); 315-325 1027-3190 uk en https://umj.imath.kiev.ua/index.php/umj/article/view/5329/7349 https://umj.imath.kiev.ua/index.php/umj/article/view/5329/7350 Copyright (c) 1996 Zabolotskii N. V. |
| spellingShingle | Zabolotskii, N. V. Заболоцький, М. В. Valiron-type and valiron-titchmarsh-type theorems for entire functions of order zero |
| title | Valiron-type and valiron-titchmarsh-type theorems for entire functions of order zero |
| title_alt | Теореми типу Валірона та Валірона — Тітчмарша для цілих
функцій нульового порядку |
| title_full | Valiron-type and valiron-titchmarsh-type theorems for entire functions of order zero |
| title_fullStr | Valiron-type and valiron-titchmarsh-type theorems for entire functions of order zero |
| title_full_unstemmed | Valiron-type and valiron-titchmarsh-type theorems for entire functions of order zero |
| title_short | Valiron-type and valiron-titchmarsh-type theorems for entire functions of order zero |
| title_sort | valiron-type and valiron-titchmarsh-type theorems for entire functions of order zero |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/5329 |
| work_keys_str_mv | AT zabolotskiinv valirontypeandvalirontitchmarshtypetheoremsforentirefunctionsoforderzero AT zabolocʹkijmv valirontypeandvalirontitchmarshtypetheoremsforentirefunctionsoforderzero AT zabolotskiinv teoremitipuvalíronatavalíronatítčmaršadlâcílihfunkcíjnulʹovogoporâdku AT zabolocʹkijmv teoremitipuvalíronatavalíronatítčmaršadlâcílihfunkcíjnulʹovogoporâdku |