Year: 2015
Author: Mengkun Zhu, Xinzhong Huang
Journal of Mathematical Study, Vol. 48 (2015), Iss. 3 : pp. 265–274
Abstract
Some sharp estimates for coefficients, distortion and the growth order are obtained for harmonic mappings $f ∈ TL^α_H$ which are locally univalent harmonic mappings in the unit disk $\mathbb{D}:=\{z:|z| < 1\}$. Moreover, denoting the subclass $TS^α_H$ of the normalized univalent harmonic mappings, we also estimate the growth of $|f|,$ $f ∈ TS^α_H,$ 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.v48n3.15.05
Journal of Mathematical Study, Vol. 48 (2015), Iss. 3 : pp. 265–274
Published online: 2015-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 10
Keywords: Harmonic mapping coefficient estimate distortion theorem covering problem.