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arXiv · 2505.01910

Pre-Schwarzian norm estimation for functions in the Ma-Minda-type starlike and convex classes

Raju Biswas
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Abstract

In this paper, we establish the sharp estimates of the pre-Schwarzian norm of functions $f$ in the Ma-Minda type starlike and convex classes $\mathcal{S}^*(φ)$ and $\mathcal{C}(φ)$, respectively, whenever $φ(z)=3/\left(3+(α-3)z-αz^2\right)$ with $-3<α\leq 1$, $φ(z)=(1+z)(1-s z)$ with $-1/3\leq s\leq 1/3$ and $φ(z)=1+z/\left((1-z) (1+αz)\right)$ with $0\leq α\leq 1/2$.

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Raju Biswas. 2025-05-03. Pre-Schwarzian norm estimation for functions in the Ma-Minda-type starlike and convex classes. https://arxiv.org/abs/2505.01910

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