English

Radius of injectivety for harmonic mappings with fixed analytic part

Complex Variables 2021-03-19 v1

Abstract

In this paper, we study non sense-preserving harmonic mappings f=h+gf=h+\overline{g} in D\mathbb{D} when its analytic part hh is convex and injective in D\mathbb{D} and obtain radius of injectivety.

Cite

@article{arxiv.2103.10143,
  title  = {Radius of injectivety for harmonic mappings with fixed analytic part},
  author = {Jugal Kishore Prajapat and Manivannan Mathi},
  journal= {arXiv preprint arXiv:2103.10143},
  year   = {2021}
}
R2 v1 2026-06-24T00:18:34.777Z