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The problem on estimate of the Koebe radius for univalent harmonic mappings of the unit disk D=\z 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.
Mikhail Borovikov (Fri,) studied this question.
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