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arXiv · 2509.08308

Bohr Phenomenon for $K$-quasiconformal Harmonic Mappings Involving One Parameter

Molla Basir Ahamed·Taimur Rahman
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Abstract

In this article, we study Bohr-type inequalities involving a parameter or convex combinations for $K$-quasiconformal, sense-preserving harmonic mappings in $\mathbb{D}$, where the analytic part is subordinate to a convex function. Moreover, we establish similar inequalities when the subordinating function is chosen from the class of concave univalent functions with pole $p$, as well as from the family of concave univalent functions with opening angle $\pi\alpha$. The results generalize several existing results.

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BibTeXRIS

Molla Basir Ahamed, Taimur Rahman. 2025-09-10. Bohr Phenomenon for $K$-quasiconformal Harmonic Mappings Involving One Parameter. https://arxiv.org/abs/2509.08308

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