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arXiv · 2411.04094

The Bohr's phenomenon for certain K-quasiconformal harmonic mappings

Vasudevarao Allu·Raju Biswas·Rajib Mandal
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Abstract

The primary objective of this paper is to establish several sharp versions of improved Bohr inequalities, refined Bohr inequalities, and Bohr-Rogosinski inequalities for the class of $K$-quasiconformal sense-preserving harmonic mappings $f=h+\overline{g}$ in the unit disk $\Bbb{D}:=\{z\in\mathbb{C}: |z|<1\}$, where $f$ and $g$ are analytic functions in $\mathbb{D}$.

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Vasudevarao Allu, Raju Biswas, Rajib Mandal. 2024-11-06. The Bohr's phenomenon for certain K-quasiconformal harmonic mappings. https://arxiv.org/abs/2411.04094

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