Hermitian–Toeplitz and Hankel determinants for Sakaguchi-type functions defined by a rational function
UDC 517.5 We obtain the best possible estimates for the Hermitian–Toeplitz determinant of the third order for a class of starlike functions with respect to a symmetric point associated with a rational function. In addition, we determine the upper bounds for the third Hankel determinants.
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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/8575 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860513167379005440 |
|---|---|
| author | Buyankara, Mucahit Çağlar, Murat Buyankara, Mucahit Çağlar, Murat |
| author_facet | Buyankara, Mucahit Çağlar, Murat Buyankara, Mucahit Çağlar, Murat |
| author_sort | Buyankara, Mucahit |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2026-03-21T13:39:36Z |
| description | UDC 517.5
We obtain the best possible estimates for the Hermitian–Toeplitz determinant of the third order for a class of starlike functions with respect to a symmetric point associated with a rational function. In addition, we determine the upper bounds for the third Hankel determinants. |
| doi_str_mv | 10.3842/umzh.v77i6.8575 |
| first_indexed | 2026-03-24T03:40:22Z |
| format | Article |
| fulltext | |
| id | umjimathkievua-article-8575 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | English |
| last_indexed | 2026-03-24T03:40:22Z |
| publishDate | 2026 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | |
| spelling | umjimathkievua-article-85752026-03-21T13:39:36Z Hermitian–Toeplitz and Hankel determinants for Sakaguchi-type functions defined by a rational function Hermitian–Toeplitz and Hankel determinants for Sakaguchi-type functions defined by a rational function Buyankara, Mucahit Çağlar, Murat Buyankara, Mucahit Çağlar, Murat Analytic functions Univalent functions Hankel determinants Hermitian-Toeplitz determinants, rational functions 30C45 30C55 30C45 30C55 UDC 517.5 We obtain the best possible estimates for the Hermitian–Toeplitz determinant of the third order for a class of starlike functions with respect to a symmetric point associated with a rational function. In addition, we determine the upper bounds for the third Hankel determinants. УДК 517.5 Визначники Ерміта–Тепліца та Ганкеля для функцій типу Сакаґучі, заданих раціональною функцією Отримано найкращі можливі оцінки для визначника Ерміта–Тепліца третього порядку для класу зіркоподібних функцій щодо симетричної точки, пов'язаної з раціональною функцією. Крім того, встановлено верхні межі для визначників Ганкеля третього порядку. Institute of Mathematics, NAS of Ukraine 2026-03-21 Article Article https://umj.imath.kiev.ua/index.php/umj/article/view/8575 10.3842/umzh.v77i6.8575 Ukrains’kyi Matematychnyi Zhurnal; Vol. 77 No. 6 (2025); 443–444 Український математичний журнал; Том 77 № 6 (2025); 443–444 1027-3190 en https://umj.imath.kiev.ua/index.php/umj/article/view/8575/10536 Copyright (c) 2025 Mucahit Buyankara, Murat Çağlar |
| spellingShingle | Buyankara, Mucahit Çağlar, Murat Buyankara, Mucahit Çağlar, Murat Hermitian–Toeplitz and Hankel determinants for Sakaguchi-type functions defined by a rational function |
| title | Hermitian–Toeplitz and Hankel determinants for Sakaguchi-type functions defined by a rational function |
| title_alt | Hermitian–Toeplitz and Hankel determinants for Sakaguchi-type functions defined by a rational function |
| title_full | Hermitian–Toeplitz and Hankel determinants for Sakaguchi-type functions defined by a rational function |
| title_fullStr | Hermitian–Toeplitz and Hankel determinants for Sakaguchi-type functions defined by a rational function |
| title_full_unstemmed | Hermitian–Toeplitz and Hankel determinants for Sakaguchi-type functions defined by a rational function |
| title_short | Hermitian–Toeplitz and Hankel determinants for Sakaguchi-type functions defined by a rational function |
| title_sort | hermitian–toeplitz and hankel determinants for sakaguchi-type functions defined by a rational function |
| topic_facet | Analytic functions Univalent functions Hankel determinants Hermitian-Toeplitz determinants, rational functions 30C45 30C55 30C45 30C55 |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/8575 |
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