On the pre-Schwarzian norm estimate of special close-to-convex harmonic mappings

Sushil Pandit

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arXiv · 2606.19022

On the pre-Schwarzian norm estimate of special close-to-convex harmonic mappings

Sushil Pandit

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Abstract

In this article, we consider a class of close-to-convex harmonic mappings with special analytic part in the unit disk $\mathbb{D}=\{z\in\mathbb{C}:|z|<1\}$ and obtain sharp pre-Schwarzian norm estimate. We study the theory of harmonic Bloch mapping for the considered class. Moreover, we discuss some growth and distortion theorems for analytic and co-analytic parts of such harmonic mappings.

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Sushil Pandit. 2026-06-17. On the pre-Schwarzian norm estimate of special close-to-convex harmonic mappings. https://arxiv.org/abs/2606.19022

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