Radius Properties of Harmonic Mappings with Fixed Analytic Part
Complex Variables
2022-08-02 v1
Abstract
We investigate harmonic mappings defined in the unit disk, where and satisfy certain prescribed conditions and the analytic part 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.
Cite
@article{arxiv.2208.00757,
title = {Radius Properties of Harmonic Mappings with Fixed Analytic Part},
author = {Kamaljeet Gangania},
journal= {arXiv preprint arXiv:2208.00757},
year = {2022}
}