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

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.

12 pages

References in corpus (1)

• Mean value surfaces with prescribed curvature form