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Estimates on Bloch constants for planar harmonic mappings
Authors:MingSheng Liu
Affiliation:(1) School of Mathematical Sciences, South China Normal University, Guangzhou, 510631, China
Abstract:The Bloch constants for quasiregular harmonic mappings and open planar harmonic mappings are considered. Better estimates are obtained. The results, presented in this paper, improve the one made by Chen et al. and Grigoryan. This work was supported by the Research Foundation for Doctor Programme (Grant No. 20050574002) and the National Natural Science Foundation of China (Grant No. 10471048)
Keywords:Bloch constant  quasiregular harmonic mapping  open planar harmonic mapping
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