Geometric properties of a generalized linear operator acting on univalent functions

• Date: 2026
• Main Authors: Akyar, Alaattin, Coşkun, Oya Mert
• Format: Article
• Language: English
• Published: Institute of Mathematics, NAS of Ukraine 2026
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/9414
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

UDC 517.53 Let \(f\) be an analytic and univalent function in an open unit disk \(\mathbb{D}\) that belongs to certain subclasses, such as starlike, convex, or close-to-convex functions. For the parameters \(\alpha, \beta \in [0,1]\) such that \(\alpha + \beta \le 1,\) we define a function\[g_{\alph...