Asymptotic Behavior of Fractional Derivatives of Bounded Analytic Functions
We find sharp sufficient conditions for the boundedness of fractional derivatives of a bounded analytic function in a Stolz angle. If F ≠ 0 in the unit disc, the necessary and sufficient conditions for the boundedness of fractional derivatives of its argument in a Stolz angle are established.
Збережено в:
| Дата: | 2017 |
|---|---|
| Автори: | , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
2017
|
| Назва видання: | Журнал математической физики, анализа, геометрии |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/140567 |
| Теги: |
Додати тег
Немає тегів, Будьте першим, хто поставить тег для цього запису!
|
| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Asymptotic Behavior of Fractional Derivatives of Bounded Analytic Functions / I. Chyzhykov, Yu. Kosaniak // Журнал математической физики, анализа, геометрии. — 2017. — Т. 13, № 2. — С. 107-118. — Бібліогр.: 15 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-140567 |
|---|---|
| record_format |
dspace |
| spelling |
irk-123456789-1405672018-07-11T01:23:23Z Asymptotic Behavior of Fractional Derivatives of Bounded Analytic Functions Chyzhykov, I. Kosaniak, Yu. We find sharp sufficient conditions for the boundedness of fractional derivatives of a bounded analytic function in a Stolz angle. If F ≠ 0 in the unit disc, the necessary and sufficient conditions for the boundedness of fractional derivatives of its argument in a Stolz angle are established. 2017 Article Asymptotic Behavior of Fractional Derivatives of Bounded Analytic Functions / I. Chyzhykov, Yu. Kosaniak // Журнал математической физики, анализа, геометрии. — 2017. — Т. 13, № 2. — С. 107-118. — Бібліогр.: 15 назв. — англ. 1812-9471 DOI: doi.org/10.15407/mag13.02.107 Mathematics Subject Classification 2000: 30D50 http://dspace.nbuv.gov.ua/handle/123456789/140567 en Журнал математической физики, анализа, геометрии Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| description |
We find sharp sufficient conditions for the boundedness of fractional derivatives of a bounded analytic function in a Stolz angle. If F ≠ 0 in the unit disc, the necessary and sufficient conditions for the boundedness of fractional derivatives of its argument in a Stolz angle are established. |
| format |
Article |
| author |
Chyzhykov, I. Kosaniak, Yu. |
| spellingShingle |
Chyzhykov, I. Kosaniak, Yu. Asymptotic Behavior of Fractional Derivatives of Bounded Analytic Functions Журнал математической физики, анализа, геометрии |
| author_facet |
Chyzhykov, I. Kosaniak, Yu. |
| author_sort |
Chyzhykov, I. |
| title |
Asymptotic Behavior of Fractional Derivatives of Bounded Analytic Functions |
| title_short |
Asymptotic Behavior of Fractional Derivatives of Bounded Analytic Functions |
| title_full |
Asymptotic Behavior of Fractional Derivatives of Bounded Analytic Functions |
| title_fullStr |
Asymptotic Behavior of Fractional Derivatives of Bounded Analytic Functions |
| title_full_unstemmed |
Asymptotic Behavior of Fractional Derivatives of Bounded Analytic Functions |
| title_sort |
asymptotic behavior of fractional derivatives of bounded analytic functions |
| publisher |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України |
| publishDate |
2017 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/140567 |
| citation_txt |
Asymptotic Behavior of Fractional Derivatives of Bounded Analytic Functions / I. Chyzhykov, Yu. Kosaniak // Журнал математической физики, анализа, геометрии. — 2017. — Т. 13, № 2. — С. 107-118. — Бібліогр.: 15 назв. — англ. |
| series |
Журнал математической физики, анализа, геометрии |
| work_keys_str_mv |
AT chyzhykovi asymptoticbehavioroffractionalderivativesofboundedanalyticfunctions AT kosaniakyu asymptoticbehavioroffractionalderivativesofboundedanalyticfunctions |
| first_indexed |
2023-10-18T21:22:56Z |
| last_indexed |
2023-10-18T21:22:56Z |
| _version_ |
1796152663217274880 |