Author:
CHEN SH.,PONNUSAMY S.,WANG X.
Abstract
AbstractOur main aim is to investigate the properties of harmonic ν-Bloch mappings. Firstly, we establish coefficient estimates and a Landau theorem for harmonic ν-Bloch mappings, which are generalizations of the corresponding results in Bonk et al. [‘Distortion theorems for Bloch functions’, Pacific. J. Math.179 (1997), 241–262] and Chen et al. [‘Bloch constants for planar harmonic mappings’, Proc. Amer. Math. Soc.128 (2000), 3231–3240]. Secondly, we obtain an improved Landau theorem for bounded harmonic mappings. Finally, we obtain a Marden constant for harmonic mappings.
Publisher
Cambridge University Press (CUP)
Reference12 articles.
1. Marden constants for Bloch and normal functions
2. Bloch constants
3. On Bloch’s constant;Bonk;Proc. Amer. Math. Soc.,1990
4. On Bloch functions and normal functions;Anderson;J. reine angew. Math.,1974
5. Harmonic univalent functions;Clunie;Ann. Acad. Sci. Fenn. Ser. A. I.,1984
Cited by
23 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献