Title of article
Coefficient Estimates and Landau-Bloch s Constant for Planar Harmonic Mappings
Author/Authors
Chen, Sh Department of Mathematics - Hunan Normal University, Changsha, P. R. of China , Ponnusamy, S Department of Mathematics - Indian Institute of Technology Madras, India , Wang, X Department of Mathematics - Hunan Normal University, Changsha, P. R. of China
Pages
11
From page
255
To page
265
Abstract
The aim of this paper is to study the properties of planar harmonic mappings. The main results are as follows. First, by using the subordination of analytic functions, a sharp coefficient estimate is obtained and several applications are given. Then two results about Landau-Bloch s constant are proved: one for planar harmonic mappings and the other for L(f), where L represents the linear complex operator L = z ∂/∂z - (overline)z ∂/∂z defined on the class of complex-valued C^1 functions in the plane and f is an open harmonic mapping.
Keywords
Harmonic mapping , coefficient estimate , Landau s constant , Bloch s constant , open harmonic mapping , Schwarz s lemma , univalent mapping , subordination
Journal title
Bulletin of the Malaysian Mathematical Sciences Society
Serial Year
2011
Journal title
Bulletin of the Malaysian Mathematical Sciences Society
Record number
2686303
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