On certain geometric properties and Hardy spaces of generalized Bessel–Wright function
UDC 517.53, 517.58 The main objective of the present research is to examine a specific sufficiency criterion for the pre-starlikeness, strong starlikeness, strong convexity, starlikeness, and convexity of the generalized Bessel–Wright function. Furthermore, we determine the conditions for the genera...
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| Дата: | 2026 |
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| Автори: | , , |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Institute of Mathematics, NAS of Ukraine
2026
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| Онлайн доступ: | https://umj.imath.kiev.ua/index.php/umj/article/view/9233 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Репозитарії
Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860513452839141376 |
|---|---|
| author | Nawaz, Muhammad Umar Raza, Mohsan Mehrez, Khaled Nawaz, Muhammad Umar Raza, Mohsan Mehrez, Khaled |
| author_facet | Nawaz, Muhammad Umar Raza, Mohsan Mehrez, Khaled Nawaz, Muhammad Umar Raza, Mohsan Mehrez, Khaled |
| author_sort | Nawaz, Muhammad Umar |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2026-03-21T11:04:14Z |
| description | UDC 517.53, 517.58
The main objective of the present research is to examine a specific sufficiency criterion for the pre-starlikeness, strong starlikeness, strong convexity, starlikeness, and convexity of the generalized Bessel–Wright function. Furthermore, we determine the conditions for the generalized Bessel–Wright functions to be included in the Hardy spaces, as well as bounded analytic functions. These applications are given in the form of examples and corollaries. |
| doi_str_mv | 10.3842/umzh.v78i1-2.9233 |
| first_indexed | 2026-03-24T03:44:55Z |
| format | Article |
| fulltext | |
| id | umjimathkievua-article-9233 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | English |
| last_indexed | 2026-03-24T03:44:55Z |
| publishDate | 2026 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | |
| spelling | umjimathkievua-article-92332026-03-21T11:04:14Z On certain geometric properties and Hardy spaces of generalized Bessel–Wright function On certain geometric properties and Hardy spaces of generalized Bessel–Wright function Nawaz, Muhammad Umar Raza, Mohsan Mehrez, Khaled Nawaz, Muhammad Umar Raza, Mohsan Mehrez, Khaled Generalized Bessel-Wright gamma function starlike functions convex functions prestarlike functions strongly starlike functions strongly convex functions Hardy spaces 33C10 30C45 30C50 30H10 UDC 517.53, 517.58 The main objective of the present research is to examine a specific sufficiency criterion for the pre-starlikeness, strong starlikeness, strong convexity, starlikeness, and convexity of the generalized Bessel–Wright function. Furthermore, we determine the conditions for the generalized Bessel–Wright functions to be included in the Hardy spaces, as well as bounded analytic functions. These applications are given in the form of examples and corollaries. УДК 517.53, 517.58 Про деякі геометричні властивості та простори Гарді узагальненої функції Бесселя–Райта Досліджено специфічний достатній критерій передзіркоподібності, сильної зіркоподібності, сильної опуклості, зіркоподібності та опуклості узагальненої функції Бесселя–Райта. Визначено умови включення узагальнених функцій Бесселя–Райта до просторів Гарді, а також до класу обмежених аналітичних функцій. Застосування наведено у вигляді прикладів і наслідків. Institute of Mathematics, NAS of Ukraine 2026-03-02 Article Article https://umj.imath.kiev.ua/index.php/umj/article/view/9233 10.3842/umzh.v78i1-2.9233 Ukrains’kyi Matematychnyi Zhurnal; Vol. 78 No. 1-2 (2026); 86–87 Український математичний журнал; Том 78 № 1-2 (2026); 86–87 1027-3190 en https://umj.imath.kiev.ua/index.php/umj/article/view/9233/10625 Copyright (c) 2026 M. U. Nawaz, Mohsan Raza, K. Mehrez |
| spellingShingle | Nawaz, Muhammad Umar Raza, Mohsan Mehrez, Khaled Nawaz, Muhammad Umar Raza, Mohsan Mehrez, Khaled On certain geometric properties and Hardy spaces of generalized Bessel–Wright function |
| title | On certain geometric properties and Hardy spaces of generalized Bessel–Wright function |
| title_alt | On certain geometric properties and Hardy spaces of generalized Bessel–Wright function |
| title_full | On certain geometric properties and Hardy spaces of generalized Bessel–Wright function |
| title_fullStr | On certain geometric properties and Hardy spaces of generalized Bessel–Wright function |
| title_full_unstemmed | On certain geometric properties and Hardy spaces of generalized Bessel–Wright function |
| title_short | On certain geometric properties and Hardy spaces of generalized Bessel–Wright function |
| title_sort | on certain geometric properties and hardy spaces of generalized bessel–wright function |
| topic_facet | Generalized Bessel-Wright gamma function starlike functions convex functions prestarlike functions strongly starlike functions strongly convex functions Hardy spaces 33C10 30C45 30C50 30H10 |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/9233 |
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