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arXiv · 2504.19132

An estimation of the pre-Schwarzian norm for certain classes of analytic functions

Vasudevarao Allu·Raju Biswas·Rajib Mandal
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Abstract

The primary objective of this paper is to establish the sharp estimates of the pre-Schwarzian norm for functions $f$ in the class $\mathcal{S}^*(\varphi)$ and $\mathcal{C}(\varphi)$ when $\varphi(z)=1/(1-z)^s$ with $0<s\leq 1$ and $\varphi(z)=(1+sz)^2$ with $0<s\leq 1/\sqrt{2}$, where $\mathcal{S}^*(\varphi)$ and $\mathcal{C}(\varphi)$ are the Ma-Minda type starlike and Ma-Minda type convex classes associated with $\varphi$, respectively.

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Vasudevarao Allu, Raju Biswas, Rajib Mandal. 2025-04-27. An estimation of the pre-Schwarzian norm for certain classes of analytic functions. https://doi.org/10.1007/s40627-026-00196-2

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