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arXiv · 1302.2398

Starlikeness and convexity of polyharmonic mappings

Jiaolong Chen·Antti Rasila·Xiantao Wang
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Abstract

In this paper, we first find an estimate for the range of polyharmonic mappings in the class $HC_{p}^{0}$. Then, we obtain two characterizations in terms of the convolution for polyharmonic mappings to be starlike of order $\alpha$, and convex of order $\beta$, respectively. Finally, we study the radii of starlikeness and convexity for polyharmonic mappings, under certain coefficient conditions.

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Jiaolong Chen, Antti Rasila, Xiantao Wang. 2013-02-11. Starlikeness and convexity of polyharmonic mappings. https://arxiv.org/abs/1302.2398

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