Landau's theorem for polyharmonic mappings
Complex Variables
2014-06-18 v1
Abstract
In this paper, we first investigate coefficient estimates for bounded polyharmonic mappings in the unit disk . Then, we obtain two versions of Landau's theorem for polyharmonics mapping , and for the mappings of the type , where is the differential operator of Abdulhadi, Abu Muhanna and Khuri. Examples and numerical estimates are given.
Cite
@article{arxiv.1303.6760,
title = {Landau's theorem for polyharmonic mappings},
author = {Jiaolong Chen and Antti Rasila and Xiantao Wang},
journal= {arXiv preprint arXiv:1303.6760},
year = {2014}
}
Comments
17 pages