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arxiv: 1608.05775 · v2 · pith:2HKTJDNZnew · submitted 2016-08-20 · 🧮 math.CV

Several properties of α-harmonic functions in the unit disk

classification 🧮 math.CV
keywords alphafunctionsharmonicdisktypeunitapplicationcoefficients
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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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