The problem on estimate of the Koebe radius for univalent harmonic mappings of the unit disk D=∈ 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 estimate for Taylor coefficients of the holomorphic part of a function from the subclass under consideration is obtained as a corollary.
No takes yet. Share an insight, caveat, or question.
Mikhail Borovikov (2024) studied this question.
Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context: