具有负系数的一类广义螺旋解析函数  

A class of generalized spirlike analytic functions with negative coefficients

作　　者：周海燕[1] 汤获[1] ZHOU Hai-yan;TANG Huo(School of Mathematics and Statistics,Chifeng University,Chifeng 024000,P.R.C.)

机构地区：[1]赤峰学院数学与统计学院,内蒙古赤峰024000

出　　处：《西南民族大学学报（自然科学版）》2019年第1期88-94,共7页Journal of Southwest Minzu University(Natural Science Edition)

基　　金：国家自然科学基金项目(11561001);内蒙古高校青年科技英才支持计划资助项目(NJYT-18-A14);内蒙古自然科学基金资助项目(2018MS01026)

摘　　要：在单复变几何函数论中,利用从属关系构造解析函数类并讨论它的几何性质是非常重要的研究课题.而在几何性质研究中,常见的性质有系数估计,偏差定理,积分算子保持性和封闭性质等等.利用从属关系定义了一类负系数的广义螺旋解析函P(λ,β,A,B),讨论了该类中函数的系数估计,偏差定理,积分算子保持性和封闭性质,所得结果推广了前人的一些工作.In the geometry function theory of one complex variable,it is a very important research topic to construct the class of analytic functions and discuss its geometric properties,which is defined by using subordination relationship. In the study of geometric properties,coefficient estimate,distortion theorem,preserving integral operator and closure property are usual properties.This paper defines a class of generalized spirlike analytic functions with negative coefficients P( λ,β,A,B) and discusses coefficient estimate,distortion theorem,preserving integral operator and closure property for the above function class. The results obtained extend some previous works.

关 键 词：广义螺旋解析函数 从属关系 系数估计 偏差定理 封闭定理 

分 类 号：O174.5[理学—数学]