Coefficient inequalities for a subclass of bounded turning functions associated with a domain bounded by an epicycloid

• Date: 2026
• Main Authors: Nithiyanandham, E. K., Sruthakeerthi, B.
• Format: Article
• Language: English
• Published: Institute of Mathematics, NAS of Ukraine 2026
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/8601
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

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...