On applications of the extended Jack's lemma

• Date: 2026
• Main Authors: Kumar, S. Sivaprasad, Yadav, Pooja
• Format: Article
• Language: English
• Published: Institute of Mathematics, NAS of Ukraine 2026
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/8419
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

UDC 517.5 We introduce and study a class ${\bf\mathcal{G}}(\alpha,\beta)$ comprising analytic functions associated with a sector domain, where $\alpha,\beta\in(0,1]$. By using the extended version of Jack's lemma, we deduce the Open–Door lemma sufficient conditions for functions to be in  $...