【摘要】 对单叶调和函数f(z)=h(z)+■,z∈D={z||z|<1},研究F(z)=h(z)+■(|λ|<1)单叶性的稳定性问题,得出凸像调和拟共形映照以及一些单叶调和函数类具有稳定性.更多还原

【Abstract】 For univalent harmonic function f(z)=h(z)+■, z∈D={z||z|<1},we investigate the stability of the univalency of the function F(z)=h(z)+λ■(|λ|<1).We prove that the convex quasiconformal harmonic mappings and some subset of univalent harmonic mappings preserve the stability.更多还原