摘要 : In this paper we consider two types of harmonic mappings w(z) ∈ S_H (D,Ω_1 ) and w(z) ∈ S_H (D,R), where D is the unit disk and Ω_1 , R are the domain defined by (2) and (3). Using the representation of harmonic mappings, we find ... 展开 In this paper we consider two types of harmonic mappings w(z) ∈ S_H (D,Ω_1 ) and w(z) ∈ S_H (D,R), where D is the unit disk and Ω_1 , R are the domain defined by (2) and (3). Using the representation of harmonic mappings, we find the sufficient and necessary conditions to make w(z) be a harmonic quasiconformal mapping. Furthermore, we obtain some estimates of w(z). 收起