Sharp Pre-Schwarzian Norm Bounds for Ma-Minda Starlike Classes

Abstract

In this paper, we develop a unified framework to evaluate the pre-Schwarzian norm for the Ma-Minda starlike class. We present a direct, general computational approach. As an application, we streamline and consolidate the results from Ali and Pal (Monatsh. Math., 2023), who obtained sharp estimates for the pre-Schwarzian norm of the Janowski starlike class. Furthermore, we utilize the proposed framework to derive explicit norm formulas for both classical and newly introduced subclasses of starlike functions.