Coefficient inequalities for a subclass of bounded turning functions associated with a domain bounded by an epicycloid
UDC 517.5 We consider a subclass of bounded turning functions $\mathcal{BT}_{n-1,\mathcal{L}}$ associated with a domain bounded by an epicycloid with $n-1$ cusps. Our primary task is to examine some coefficient inequalities, as well as the second and third Hankel determinants for the newly defined c...
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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/8601 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860513191307509760 |
|---|---|
| author | Nithiyanandham, E. K. Sruthakeerthi, B. Nithiyanandham, E. K. Sruthakeerthi, B. |
| author_facet | Nithiyanandham, E. K. Sruthakeerthi, B. Nithiyanandham, E. K. Sruthakeerthi, B. |
| author_sort | Nithiyanandham, E. K. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2026-03-21T13:32:55Z |
| description | UDC 517.5
We consider a subclass of bounded turning functions $\mathcal{BT}_{n-1,\mathcal{L}}$ associated with a domain bounded by an epicycloid with $n-1$ cusps. Our primary task is to examine some coefficient inequalities, as well as the second and third Hankel determinants for the newly defined class. |
| doi_str_mv | 10.3842/umzh.v77i7.8601 |
| first_indexed | 2026-03-24T03:40:45Z |
| format | Article |
| fulltext | |
| id | umjimathkievua-article-8601 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | English |
| last_indexed | 2026-03-24T03:40:45Z |
| publishDate | 2026 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | |
| spelling | umjimathkievua-article-86012026-03-21T13:32:55Z Coefficient inequalities for a subclass of bounded turning functions associated with a domain bounded by an epicycloid Coefficient inequalities for a subclass of bounded turning functions associated with a domain bounded by an epicycloid Nithiyanandham, E. K. Sruthakeerthi, B. Nithiyanandham, E. K. Sruthakeerthi, B. univalent function bounded turning function cusps leaf domain Hankel determinant Mathematics UDC 517.5 We consider a subclass of bounded turning functions $\mathcal{BT}_{n-1,\mathcal{L}}$ associated with a domain bounded by an epicycloid with $n-1$ cusps. Our primary task is to examine some coefficient inequalities, as well as the second and third Hankel determinants for the newly defined class. УДК 517.5 Нерівності для коефіцієнтів підкласу обмежених поворотних функцій, що пов'язані з областю, обмеженою епіциклоїдою Розглянуто підклас поворотних функцій \(\mathcal{BT}_{n-1,\mathcal{L}}\), що пов'язані з областю, обмеженою епіциклоїдою з \(n{-}1\) вістрями. Основна мета полягає в дослідженні деяких нерівностей для коефіцієнтів, а також другого і третього визначників Ганкеля для нововизначеного класу. Institute of Mathematics, NAS of Ukraine 2026-03-21 Article Article https://umj.imath.kiev.ua/index.php/umj/article/view/8601 10.3842/umzh.v77i7.8601 Ukrains’kyi Matematychnyi Zhurnal; Vol. 77 No. 7 (2025); 493–494 Український математичний журнал; Том 77 № 7 (2025); 493–494 1027-3190 en https://umj.imath.kiev.ua/index.php/umj/article/view/8601/10546 Copyright (c) 2025 E. K. Nithiyanandham, B. Sruthakeerthi |
| spellingShingle | Nithiyanandham, E. K. Sruthakeerthi, B. Nithiyanandham, E. K. Sruthakeerthi, B. Coefficient inequalities for a subclass of bounded turning functions associated with a domain bounded by an epicycloid |
| title | Coefficient inequalities for a subclass of bounded turning functions associated with a domain bounded by an epicycloid |
| title_alt | Coefficient inequalities for a subclass of bounded turning functions associated with a domain bounded by an epicycloid |
| title_full | Coefficient inequalities for a subclass of bounded turning functions associated with a domain bounded by an epicycloid |
| title_fullStr | Coefficient inequalities for a subclass of bounded turning functions associated with a domain bounded by an epicycloid |
| title_full_unstemmed | Coefficient inequalities for a subclass of bounded turning functions associated with a domain bounded by an epicycloid |
| title_short | Coefficient inequalities for a subclass of bounded turning functions associated with a domain bounded by an epicycloid |
| title_sort | coefficient inequalities for a subclass of bounded turning functions associated with a domain bounded by an epicycloid |
| topic_facet | univalent function bounded turning function cusps leaf domain Hankel determinant Mathematics |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/8601 |
| work_keys_str_mv | AT nithiyanandhamek coefficientinequalitiesforasubclassofboundedturningfunctionsassociatedwithadomainboundedbyanepicycloid AT sruthakeerthib coefficientinequalitiesforasubclassofboundedturningfunctionsassociatedwithadomainboundedbyanepicycloid AT nithiyanandhamek coefficientinequalitiesforasubclassofboundedturningfunctionsassociatedwithadomainboundedbyanepicycloid AT sruthakeerthib coefficientinequalitiesforasubclassofboundedturningfunctionsassociatedwithadomainboundedbyanepicycloid |