Univalence criteria for locally univalent analytic functions

• Date: 2023
• Main Authors: Hu, Zhenyong, Fan, Jinhua, Wang, Xiaoyuan
• Format: Article
• Language: English
• Published: Institute of Mathematics, NAS of Ukraine 2023
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/7222
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

UDC 517.5 Suppose that  $p(z)=1+z\phi''(z)/\phi'(z),$ where   $\phi(z)$ is a locally univalent analytic function in the unit disk $\mathbf{D}$  with $\phi(0)=\phi'(1)-1=0.$  We establish the lower an...