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arXiv · 2208.00757

Radius Properties of Harmonic Mappings with Fixed Analytic Part

Kamaljeet Gangania
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Abstract

We investigate harmonic mappings $f=h+\bar{g}$ 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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Kamaljeet Gangania. 2022-08-01. Radius Properties of Harmonic Mappings with Fixed Analytic Part. https://arxiv.org/abs/2208.00757

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