On close-to-convex functions

Md Nurezzaman

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arXiv · 2505.11826

On close-to-convex functions

Md Nurezzaman

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Abstract

We consider a new subclass $\widetilde{\mathcal{K}}_u$ of close-to-convex functions in the unit disk $\mathbb{D}:=\{z\in\mathbb{C}:|z|<1\}$. For this class, we obtain sharp estimates of the Fekete-Szeg\"{o} problem, growth and distortion theorem, radius of convexity and estimate of the pre-Schwarzian norm.

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Md Nurezzaman. 2025-05-17. On close-to-convex functions. https://arxiv.org/abs/2505.11826

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