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

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 $\mathbb{D}$.