Rotations and convolutions of harmonic convex mappings
Complex Variables
2019-09-30 v1
Abstract
In this paper, we consider the convolutions of slanted half-plane mappings and strip mappings and generalize related results in general settings. We also consider a class of harmonic mappings containing slanted half-plane mappings and strip mappings and, as a consequence, we prove that the convex combination of such mappings is convex.
Keywords
Cite
@article{arxiv.1909.12602,
title = {Rotations and convolutions of harmonic convex mappings},
author = {Liulan Li and Saminathan Ponnusamy},
journal= {arXiv preprint arXiv:1909.12602},
year = {2019}
}
Comments
18 pages; A shorter version of this paper will appear soon!