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一类单叶调和函数的几个性质
引用本文:傅秀莲.一类单叶调和函数的几个性质[J].三峡大学学报(自然科学版),2012,34(4):108-112.
作者姓名:傅秀莲
作者单位:广东工贸职业技术学院计算机系,广州,510510
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.

关 键 词:单叶调和函数  偏差  极值函数  凸性

Some Properties of A Kind of Univalent Harmonic Functions
Fu Xiulian.Some Properties of A Kind of Univalent Harmonic Functions[J].Journal of China Three Gorges University(Natural Sciences),2012,34(4):108-112.
Authors:Fu Xiulian
Institution:Fu Xiulian(Department of Computer Science, Guangdong College of Industry Commerce, Guangzhou 510510, China)
Abstract: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.
Keywords:univalent harmonic function  distortion  extremal function  convexity
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