一类单叶调和函数的几个性质  

Some Properties of A Kind of Univalent Harmonic Functions

作　　者：傅秀莲[1] 

机构地区：[1]广东工贸职业技术学院计算机系,广州510510

出　　处：《三峡大学学报（自然科学版）》2012年第4期108-112,共5页Journal of China Three Gorges University：Natural Sciences

基　　金：广东省自然科学基金(9452902001003278)

摘　　要：为了研究负系数单叶调和函数,用Salagean算子定义了两类函数类SmH(λ,α,β)及其子族SmH(λ,α,β),研究了这两类函数类的充要条件、偏差估计、凸像性质等,得到了准确的结果,推广了一些作者的相关结果.In order to study the univalent harmonic functions with negative coefficients, two function subclas-ses S^mH（λ,α,β） and S^mH（λ,α,β） defined by Salagean operator are introduced. The sufficient and necessary con-dition , distortion properties and convexity of the two subclasses are studied. Some accurate results are ob-tained, which generalize the related results of some authors.

关 键 词：单叶调和函数 偏差 极值函数 凸性 

分 类 号：O174.51[理学—数学]