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

Ming Li; Mei Luo

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arXiv · 2606.24050

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

Ming Li·Mei Luo

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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.

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Ming Li, Mei Luo. 2026-06-23. Sharp Pre-Schwarzian Norm Bounds for Ma-Minda Starlike Classes. https://arxiv.org/abs/2606.24050

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