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Several properties of $α$-harmonic functions in the unit disk

Published 20 Aug 2016 in math.CV | (1608.05775v2)

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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