Landau-Type Theorems for Certain Biharmonic Mappings

Ming-Sheng Liu, Zhen-Xing Liu and Jun-Feng Xu

Abstract and Applied Analysis, 2014, vol. 2014, 1-7

Abstract:

Let be a biharmonic mapping of the unit disk , where and are harmonic in . In this paper, the Landau-type theorems for biharmonic mappings of the form are provided. Here represents the linear complex operator defined on the class of complex-valued functions in the plane. The results, presented in this paper, improve the related results of earlier authors.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:925947

DOI: 10.1155/2014/925947

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