Note on the convolution of harmonic mappings
Complex Variables
2019-05-22 v2
Abstract
Dorff et al. \cite{DN} formulated a question concerning the convolution of two right half-plane mappings, where the normalization of the functions was considered incorrectly. In this paper, we have reformulated the open problem in correct form and provided a solution to it in a more general form. In addition, we also obtain two new theorems which correct and improve some other results.
Cite
@article{arxiv.1804.10046,
title = {Note on the convolution of harmonic mappings},
author = {Liulan Li and Saminathan Ponnusamy},
journal= {arXiv preprint arXiv:1804.10046},
year = {2019}
}
Comments
11 pages; An extended version of this article was in a couple of conferences, and also in later workshops in Chennai during 2017 in India. This version will appear in Bulletin of the Australian Mathematical Society