Two-point distortion theorems for harmonic mappings
Complex Variables
2022-08-08 v1
Abstract
We establish two-point distortion theorems for sense-preserving planar harmonic mappings which satisfies the univalence criteria in the unit disc such that, Becker's and Nehari`s harmonic version. In addition, we find the sharp two-point distortion theorem when is a convex function, and normalized mappings such that is a -linearly connected domain. To do this, we use the order of this family.
Cite
@article{arxiv.2208.03280,
title = {Two-point distortion theorems for harmonic mappings},
author = {Víctor Bravo and Rodrigo Hernández and Osvaldo Venegas},
journal= {arXiv preprint arXiv:2208.03280},
year = {2022}
}