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Original Articles

Landau's theorems for biharmonic mappings

Pages 843-855 | Received 20 Jan 2008, Accepted 18 Apr 2008, Published online: 22 Sep 2010
 

Abstract

In this article, Landau's theorems for biharmonic mappings are considered. Better estimates are obtained by establishing better coefficient estimates for bounded and normalized planar harmonic mappings. The results, presented in this article, improve the one made by Abdulhadi and Muhanna, and some completely new results are also obtained.

AMS Subject Classifications:

Acknowledgements

The present investigation was supported by the Doctoral Foundation of the Education Committee of the People's Republic of China under Grant 20050574002.

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