Third Hankel determinant for the class of analytic functions defined by Mathieu-type series related to a petal-shaped domain
UDC 517.5 We introduce a new subclass of analytic functions based on the Mathieu-type series related to a petal-shaped domain. We investigate the bounds of the initial coefficient estimates, the Fekete–Szegö inequality, and the Hankel determinant of order two and three.
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| Дата: | 2024 |
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| Автори: | , , |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Institute of Mathematics, NAS of Ukraine
2024
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| Онлайн доступ: | https://umj.imath.kiev.ua/index.php/umj/article/view/7335 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860512654234222592 |
|---|---|
| author | Panigrahi, T. Pattnayak, E. El-Ashwah, R. M. Panigrahi, T. Pattnayak, E. El-Ashwah, R. M. |
| author_facet | Panigrahi, T. Pattnayak, E. El-Ashwah, R. M. Panigrahi, T. Pattnayak, E. El-Ashwah, R. M. |
| author_sort | Panigrahi, T. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2024-06-19T00:35:24Z |
| description | UDC 517.5
We introduce a new subclass of analytic functions based on the Mathieu-type series related to a petal-shaped domain. We investigate the bounds of the initial coefficient estimates, the Fekete–Szegö inequality, and the Hankel determinant of order two and three. |
| doi_str_mv | 10.3842/umzh.v74i4.7335 |
| first_indexed | 2026-03-24T03:32:13Z |
| format | Article |
| fulltext | |
| id | umjimathkievua-article-7335 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | English |
| last_indexed | 2026-03-24T03:32:13Z |
| publishDate | 2024 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | |
| spelling | umjimathkievua-article-73352024-06-19T00:35:24Z Third Hankel determinant for the class of analytic functions defined by Mathieu-type series related to a petal-shaped domain Third Hankel determinant for the class of analytic functions defined by Mathieu-type series related to a petal-shaped domain Panigrahi, T. Pattnayak, E. El-Ashwah, R. M. Panigrahi, T. Pattnayak, E. El-Ashwah, R. M. Analytic function, Subordination, Fekete-Szego functional, Hankel determinant, Petalshaped domain Primary: 30C45; Secondary: 30C50, 30C80 UDC 517.5 We introduce a new subclass of analytic functions based on the Mathieu-type series related to a petal-shaped domain. We investigate the bounds of the initial coefficient estimates, the Fekete–Szegö inequality, and the Hankel determinant of order two and three. УДК 517.5 Третій детермінант Ганкеля для класу аналітичних функцій, визначених рядами типу Матьє і пов’язаних з областю пелюсткової форми Введено новий підклас аналітичних функцій на основі рядів типу Матьє, що пов’язані з областю пелюсткової форми. Досліджено межі початкових оцінок коефіцієнтів, нерівність Фекете–Сего та визначник Ганкеля другого та третього порядку. Institute of Mathematics, NAS of Ukraine 2024-04-26 Article Article https://umj.imath.kiev.ua/index.php/umj/article/view/7335 10.3842/umzh.v74i4.7335 Ukrains’kyi Matematychnyi Zhurnal; Vol. 76 No. 4 (2024); 525 - 532 Український математичний журнал; Том 76 № 4 (2024); 525 - 532 1027-3190 en https://umj.imath.kiev.ua/index.php/umj/article/view/7335/9914 Copyright (c) 2024 RABHA EL-ASHWAH, Trailokya PANIGRAHI, E. PATTNAYAK E. PATTNAYAK |
| spellingShingle | Panigrahi, T. Pattnayak, E. El-Ashwah, R. M. Panigrahi, T. Pattnayak, E. El-Ashwah, R. M. Third Hankel determinant for the class of analytic functions defined by Mathieu-type series related to a petal-shaped domain |
| title | Third Hankel determinant for the class of analytic functions defined by Mathieu-type series related to a petal-shaped domain |
| title_alt | Third Hankel determinant for the class of analytic functions defined by Mathieu-type series related to a petal-shaped domain |
| title_full | Third Hankel determinant for the class of analytic functions defined by Mathieu-type series related to a petal-shaped domain |
| title_fullStr | Third Hankel determinant for the class of analytic functions defined by Mathieu-type series related to a petal-shaped domain |
| title_full_unstemmed | Third Hankel determinant for the class of analytic functions defined by Mathieu-type series related to a petal-shaped domain |
| title_short | Third Hankel determinant for the class of analytic functions defined by Mathieu-type series related to a petal-shaped domain |
| title_sort | third hankel determinant for the class of analytic functions defined by mathieu-type series related to a petal-shaped domain |
| topic_facet | Analytic function Subordination Fekete-Szego functional Hankel determinant Petalshaped domain Primary: 30C45; Secondary: 30C50 30C80 |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/7335 |
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