Several properties of $\alpha$-harmonic functions in the unit disk

Peijin Li; Xiantao Wang; Qianhong Xiao

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arXiv · 1608.05775

Several properties of $\alpha$-harmonic functions in the unit disk

Peijin Li·Xiantao Wang·Qianhong Xiao

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Abstract

The aim of this paper is to obtain the Schwarz-Pick type inequality for $\alpha$-harmonic functions $f$ in the unit disk and get estimates on the coefficients of $f$. As an application, a Landau type theorem of $\alpha$-harmonic functions is established.

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Peijin Li, Xiantao Wang, Qianhong Xiao. 2016-08-20. Several properties of $\alpha$-harmonic functions in the unit disk. https://arxiv.org/abs/1608.05775

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