Sufficient and necessary conditions for the generalized distribution series to be in subclasses of univalent functions
UDC 517.5 We establish a relationship  between the subclasses of univalent functions and generalized distribution series. The main aim of our  investigation is to obtain  necessary and sufficient conditions for the generalized distribu...
Збережено в:
| Дата: | 2023 |
|---|---|
| Автори: | , |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Institute of Mathematics, NAS of Ukraine
2023
|
| Онлайн доступ: | https://umj.imath.kiev.ua/index.php/umj/article/view/7267 |
| Теги: |
Додати тег
Немає тегів, Будьте першим, хто поставить тег для цього запису!
|
| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
| Завантажити файл: | |
Репозитарії
Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860512640624754688 |
|---|---|
| author | Kota, W. Y. El-Ashwah, R. M. Kota, W. Y. El-Ashwah, R. M. |
| author_facet | Kota, W. Y. El-Ashwah, R. M. Kota, W. Y. El-Ashwah, R. M. |
| author_sort | Kota, W. Y. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2024-06-19T00:34:46Z |
| description | UDC 517.5
We establish a relationship  between the subclasses of univalent functions and generalized distribution series. The main aim of our  investigation is to obtain  necessary and sufficient conditions for the generalized distribution series to belong to the classes ${\mathcal{TF}}(\rho,\vartheta),$ $\mathcal{{TH}}(\rho,\vartheta), \,\mathcal{{TJ}}(\rho,\vartheta)$, and $\mathcal{{TX}}(\rho,\vartheta)$. In addition, we obtain some particular cases of our main results. |
| doi_str_mv | 10.3842/umzh.v75i10.7267 |
| first_indexed | 2026-03-24T03:32:00Z |
| format | Article |
| fulltext | |
| id | umjimathkievua-article-7267 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | English |
| last_indexed | 2026-03-24T03:32:00Z |
| publishDate | 2023 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | |
| spelling | umjimathkievua-article-72672024-06-19T00:34:46Z Sufficient and necessary conditions for the generalized distribution series to be in subclasses of univalent functions Sufficient and necessary conditions for the generalized distribution series to be in subclasses of univalent functions Kota, W. Y. El-Ashwah, R. M. Kota, W. Y. El-Ashwah, R. M. Generalized distribution; univalent functions; analytic functions; Hadamard product. UDC 517.5 We establish a relationship  between the subclasses of univalent functions and generalized distribution series. The main aim of our  investigation is to obtain  necessary and sufficient conditions for the generalized distribution series to belong to the classes ${\mathcal{TF}}(\rho,\vartheta),$ $\mathcal{{TH}}(\rho,\vartheta), \,\mathcal{{TJ}}(\rho,\vartheta)$, and $\mathcal{{TX}}(\rho,\vartheta)$. In addition, we obtain some particular cases of our main results. УДК 517.5 Достатні та необхідні умови для того, щоб ряди узагальнених розподілів належали до підкласів однолистих функцій Встановлено зв'язок між підкласами однолистих функцій і рядами узагальнених  розподілів. Основною метою цього дослідження є встановлення необхідних і достатніх умов для того, щоб ряди узагальнених   розподілів належали до класів ${\mathcal{TF}}(\rho,\vartheta),$ $\mathcal{{TH}}(\rho,\vartheta), \,\mathcal{{TJ}}(\rho,\vartheta)$ і $\mathcal{{TX}}(\rho,\vartheta)$. Крім того,  отримано деякі окремі випадки наших основних результатів.  Institute of Mathematics, NAS of Ukraine 2023-10-24 Article Article https://umj.imath.kiev.ua/index.php/umj/article/view/7267 10.3842/umzh.v75i10.7267 Ukrains’kyi Matematychnyi Zhurnal; Vol. 75 No. 10 (2023); 1366 - 1376 Український математичний журнал; Том 75 № 10 (2023); 1366 - 1376 1027-3190 en https://umj.imath.kiev.ua/index.php/umj/article/view/7267/9905 Copyright (c) 2023 wafaa Kouta |
| spellingShingle | Kota, W. Y. El-Ashwah, R. M. Kota, W. Y. El-Ashwah, R. M. Sufficient and necessary conditions for the generalized distribution series to be in subclasses of univalent functions |
| title | Sufficient and necessary conditions for the generalized distribution series to be in subclasses of univalent functions |
| title_alt | Sufficient and necessary conditions for the generalized distribution series to be in subclasses of univalent functions |
| title_full | Sufficient and necessary conditions for the generalized distribution series to be in subclasses of univalent functions |
| title_fullStr | Sufficient and necessary conditions for the generalized distribution series to be in subclasses of univalent functions |
| title_full_unstemmed | Sufficient and necessary conditions for the generalized distribution series to be in subclasses of univalent functions |
| title_short | Sufficient and necessary conditions for the generalized distribution series to be in subclasses of univalent functions |
| title_sort | sufficient and necessary conditions for the generalized distribution series to be in subclasses of univalent functions |
| topic_facet | Generalized distribution univalent functions analytic functions Hadamard product. |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/7267 |
| work_keys_str_mv | AT kotawy sufficientandnecessaryconditionsforthegeneralizeddistributionseriestobeinsubclassesofunivalentfunctions AT elashwahrm sufficientandnecessaryconditionsforthegeneralizeddistributionseriestobeinsubclassesofunivalentfunctions AT kotawy sufficientandnecessaryconditionsforthegeneralizeddistributionseriestobeinsubclassesofunivalentfunctions AT elashwahrm sufficientandnecessaryconditionsforthegeneralizeddistributionseriestobeinsubclassesofunivalentfunctions |