On Koebe radius and coefficients estimate for univalent harmonic
mappings
On Koebe radius and coefficients estimate for univalent harmonic
mappings
The problem on estimate of the Koebe radius for univalent harmonic mappings of the unit disk $\mathbb D=\{z\in\mathbb C : |z|<1\}$ is considered. For a subclass of harmonic mappings with the standard normalization and a certain growth estimate for analytic dilatation, we provide new estimate for the Koebe radius. New …