English

On quasiconformal close-to-convex harmonic mappings involving starlike functions

Complex Variables 2021-10-25 v2

Abstract

In the present paper, we discuss several basic properties of a class of quasiconformal close-to-convex harmonic mappings with starlike analytic part, such results as coefficient inequalities, an integral representation, a growth theorem, an area theorem, and radii of close-to-convexity of partial sums of the class, are derived.

Keywords

Cite

@article{arxiv.2002.03099,
  title  = {On quasiconformal close-to-convex harmonic mappings involving starlike functions},
  author = {Zhi-Gang Wang and Xin-Zhong Huang and Zhi-Hong Liu and Rahim Kargar},
  journal= {arXiv preprint arXiv:2002.03099},
  year   = {2021}
}

Comments

15 pages, 2 figures