Landau-Type Theorems for Certain Biharmonic Mappings

Let F(z)=|z|2g(z)+h(z)  (|z|<1) be a biharmonic mapping of the unit disk 𝔻, where g and h are harmonic in 𝔻. In this paper, the Landau-type theorems for biharmonic mappings of the form L(F) are provided. Here L represents the linear complex operator L=(z∂/∂z)-(z¯∂/∂z)¯ defined on the class of com...

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Bibliographic Details
Main Authors: Ming-Sheng Liu, Zhen-Xing Liu, Jun-Feng Xu
Format: Article
Language:English
Published: Wiley 2014-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2014/925947
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