On coefficient functional and Bohr-radius for some classes of analytic functions
UDC 517.5 We examine sharp bounds of coefficient functionals, such as Zalcman functional, second-order Hankel determinant, and third-order Toeplitz and Hermitian–Toeplitz determinants for the class of analytic functions. Growth estimates and bounds for the difference of successive coefficients are ...
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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/8397 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Репозитарії
Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860513066410573824 |
|---|---|
| author | Palani, Jeyaraman Muthusamy Raman, Parvatham Habibullah, Aaisha Farzana Palani, Jeyaraman Muthusamy Raman, Parvatham Habibullah, Aaisha Farzana |
| author_facet | Palani, Jeyaraman Muthusamy Raman, Parvatham Habibullah, Aaisha Farzana Palani, Jeyaraman Muthusamy Raman, Parvatham Habibullah, Aaisha Farzana |
| author_sort | Palani, Jeyaraman Muthusamy |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2026-03-21T13:38:29Z |
| description | UDC 517.5
We examine sharp bounds of coefficient functionals, such as Zalcman functional, second-order Hankel determinant, and third-order Toeplitz and Hermitian–Toeplitz determinants for the class of analytic functions. Growth estimates and bounds for the difference of successive coefficients are determined. Further, by using growth estimates, we obtain the Bohr radius and the Bohr–Rogosinski phenomenon. |
| doi_str_mv | 10.3842/umzh.v77i5.8397 |
| first_indexed | 2026-03-24T03:38:46Z |
| format | Article |
| fulltext | |
| id | umjimathkievua-article-8397 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | English |
| last_indexed | 2026-03-24T03:38:46Z |
| publishDate | 2026 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | |
| spelling | umjimathkievua-article-83972026-03-21T13:38:29Z On coefficient functional and Bohr-radius for some classes of analytic functions On coefficient functional and Bohr-radius for some classes of analytic functions Palani, Jeyaraman Muthusamy Raman, Parvatham Habibullah, Aaisha Farzana Palani, Jeyaraman Muthusamy Raman, Parvatham Habibullah, Aaisha Farzana Analytic functions, Zalcman functional, Hankel determinant, Toeplitz determinant, Hermitian-Toeplitz determinant,Bohr radius and Bohr-Rogosinski phenomenon. Mathematics UDC 517.5 We examine sharp bounds of coefficient functionals, such as Zalcman functional, second-order Hankel determinant, and third-order Toeplitz and Hermitian–Toeplitz determinants for the class of analytic functions. Growth estimates and bounds for the difference of successive coefficients are determined. Further, by using growth estimates, we obtain the Bohr radius and the Bohr–Rogosinski phenomenon. УДК 517.5 Про коефіцієнтний функціонал і радіус Бора для деяких класів аналітичних функцій Досліджено точні межі для коефіцієнтних функціоналів, зокрема функціонала Зальцмана, визначника Ганкеля другого порядку, визначників Тепліца третього порядку та ермітово-тепліцевих визначників для певного класу аналітичних функцій. Встановлено оцінки зростання та межі для різниці послідовних коефіцієнтів. Крім того, на основі цих оцінок отримано радіус Бора та феномен Бора–Рогозинського. Institute of Mathematics, NAS of Ukraine 2026-03-21 Article Article https://umj.imath.kiev.ua/index.php/umj/article/view/8397 10.3842/umzh.v77i5.8397 Ukrains’kyi Matematychnyi Zhurnal; Vol. 77 No. 5 (2025); 368 Український математичний журнал; Том 77 № 5 (2025); 368 1027-3190 en https://umj.imath.kiev.ua/index.php/umj/article/view/8397/10526 Copyright (c) 2025 Jeyaraman Muthusamy Palani, Parvatham Raman, Aaisha Farzana Habibullah |
| spellingShingle | Palani, Jeyaraman Muthusamy Raman, Parvatham Habibullah, Aaisha Farzana Palani, Jeyaraman Muthusamy Raman, Parvatham Habibullah, Aaisha Farzana On coefficient functional and Bohr-radius for some classes of analytic functions |
| title | On coefficient functional and Bohr-radius for some classes of analytic functions |
| title_alt | On coefficient functional and Bohr-radius for some classes of analytic functions |
| title_full | On coefficient functional and Bohr-radius for some classes of analytic functions |
| title_fullStr | On coefficient functional and Bohr-radius for some classes of analytic functions |
| title_full_unstemmed | On coefficient functional and Bohr-radius for some classes of analytic functions |
| title_short | On coefficient functional and Bohr-radius for some classes of analytic functions |
| title_sort | on coefficient functional and bohr-radius for some classes of analytic functions |
| topic_facet | Analytic functions Zalcman functional Hankel determinant Toeplitz determinant Hermitian-Toeplitz determinant,Bohr radius and Bohr-Rogosinski phenomenon. Mathematics |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/8397 |
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