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arXiv · 1303.6760

Landau's theorem for polyharmonic mappings

Jiaolong Chen·Antti Rasila·Xiantao Wang
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Abstract

In this paper, we first investigate coefficient estimates for bounded polyharmonic mappings in the unit disk $\mathbb{D}$. Then, we obtain two versions of Landau's theorem for polyharmonics mapping $F$, and for the mappings of the type $L(F)$, where $L$ is the differential operator of Abdulhadi, Abu Muhanna and Khuri. Examples and numerical estimates are given.

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Jiaolong Chen, Antti Rasila, Xiantao Wang. 2013-03-27. Landau's theorem for polyharmonic mappings. https://arxiv.org/abs/1303.6760

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