Starlikeness and convexity of polyharmonic mappings
Complex Variables
2014-06-18 v1
Abstract
In this paper, we first find an estimate for the range of polyharmonic mappings in the class . Then, we obtain two characterizations in terms of the convolution for polyharmonic mappings to be starlike of order , and convex of order , respectively. Finally, we study the radii of starlikeness and convexity for polyharmonic mappings, under certain coefficient conditions.
Keywords
Cite
@article{arxiv.1302.2398,
title = {Starlikeness and convexity of polyharmonic mappings},
author = {Jiaolong Chen and Antti Rasila and Xiantao Wang},
journal= {arXiv preprint arXiv:1302.2398},
year = {2014}
}