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Landau-Type Theorems for Certain Biharmonic Mappings

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  • Ming-Sheng Liu
  • Zhen-Xing Liu
  • Jun-Feng Xu

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.

Suggested Citation

  • Ming-Sheng Liu & Zhen-Xing Liu & Jun-Feng Xu, 2014. "Landau-Type Theorems for Certain Biharmonic Mappings," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-7, March.
    • Handle: RePEc:hin:jnlaaa:925947
    DOI: 10.1155/2014/925947
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