Convolution properties of some harmonic mappings in the right-half plane
Complex Variables
2013-04-24 v1
Abstract
Dorff, proved in [2] that the convolution of two harmonic right-half plane mappings is convex in the direction of real axis provided that the convolution is locally univalent and sense preserving. Later, it was shown in [3] that the condition of locally univalent and sense preserving can be dropped in some special cases. In this paper, we generalize the main result from [3].
Keywords
Cite
@article{arxiv.1304.6167,
title = {Convolution properties of some harmonic mappings in the right-half plane},
author = {Raj Kumar and Michael Dorff and Sushma Gupta and Sukhjit Singh},
journal= {arXiv preprint arXiv:1304.6167},
year = {2013}
}
Comments
The manuscript includes 14 pages and 2 figures