Radius Properties of Harmonic Mappings with Fixed Analytic Part
Abstract
We investigate harmonic mappings f=h+g defined in the unit disk, where g and h satisfy certain prescribed conditions and the analytic part h belongs to the Ma and Minda class of starlike functions. Certain sharp radius results for univalency, close-to-convexity, fully starlikeness, fully convexity, and radius of strongly starlikeness are established. We also calculate the radius of uniformly starlikeness and convexity for these functions. Several results enhance the well-known radius results.
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