摘要
Abstract
We study the subclass SHK (m,n,α,β) of SH(m,n,α,β) which is a new Salagean-type class with a differential operator defined by Salagean.One sufficient condition for functions in the subclass SHK (m,n,α,β) to be harmonic quasiconformal mappings and convex harmonic mappings is obtained.Meanwhile,the stability property and the δ-neighborhood of harmonic mappings for the subclass SHK (m,n,α,β) are considered.Our results improve and generalize the one made by B.Seker.关键词
单叶调和映照/拟共形映照/凸像/稳定性/δ-邻域Key words
univalent harmonic mapping/ quasiconformal mapping/ convex/ stability/ δ-neighborhood分类
数理科学