Year: 2016
Author: Mengkun Zhu, Xinzhong Huang
Journal of Mathematical Study, Vol. 49 (2016), Iss. 1 : pp. 23–32
Abstract
Some sharp estimates for coefficients, distortion and the growth order are obtained for harmonic mappings $f \in TL^{\alpha}_H,$ which are locally univalent harmonic mappings in the unit disk $\mathbb{D}:=\{z:|z|<1\}.$ Moreover, denoting the subclass $TS^{\alpha}_H$ of the normalized univalent harmonic mappings, we also estimate the growth of $|f|,$ $f \in TS^α_H,$ and their covering theorems.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jms.v49n1.16.03
Journal of Mathematical Study, Vol. 49 (2016), Iss. 1 : pp. 23–32
Published online: 2016-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 10
Keywords: Harmonic mapping coefficient estimate distortion theorem covering problem.