English

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

Complex Variables 2017-05-30 v2

Abstract

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

Keywords

Cite

@article{arxiv.1608.05775,
  title  = {Several properties of $\alpha$-harmonic functions in the unit disk},
  author = {Peijin Li and Xiantao Wang and Qianhong Xiao},
  journal= {arXiv preprint arXiv:1608.05775},
  year   = {2017}
}

Comments

12 pages

R2 v1 2026-06-22T15:24:58.807Z