On a subclass of starlike functions associated with a strip domain

• Datum: 2025
• Hauptverfasser: Kumar, S. Sivaprasad, Verma, Neha
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2025
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/8000
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

UDC 517.5 We introduce a new subclass of starlike functions defined as  $\mathcal{S}^{*}_{\tau}:=\{f\in \mathcal{A}:zf'(z)/f(z) \prec 1+\arctan z=:\tau(z)\},$ where $\tau(z)$ maps the unit disk $\mathbb {D}:= \{z\in \mathbb{C}:|z|<1\}$ onto a strip domai...