Estimates on Bloch constants for planar harmonic mappings |
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Authors: | MingSheng Liu |
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Affiliation: | (1) School of Mathematical Sciences, South China Normal University, Guangzhou, 510631, China |
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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) |
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Keywords: | Bloch constant quasiregular harmonic mapping open planar harmonic mapping |
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