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arXiv · 2508.00012

Bohr inequality and Bohr-Rogosinski inequality for $K$-Quasiconformal harmonic mappings

Molla Basir Ahamed·Taimur Rahman
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Abstract

In this paper, we prove several sharp Bohr-type and Bohr-Rogosinski-type inequalities for $K$-quasiconformal, sense-preserving harmonic mappings on $\mathbb{D}$, whose analytic part is subordinate to a function belonging to the class of concave univalent functions on $\mathbb{D}$. In addition, we derive Bohr-type inequalities for $K$-quasiconformal, sense-preserving harmonic mappings on $\mathbb{D}$, where the analytic part is subordinate to a function from the Ma-Minda class of convex and starlike functions. The results generalize several existing results.

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BibTeXRIS

Molla Basir Ahamed, Taimur Rahman. 2025-07-21. Bohr inequality and Bohr-Rogosinski inequality for $K$-Quasiconformal harmonic mappings. https://arxiv.org/abs/2508.00012

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