一类接近凸解析函数的性质  

A class of close-to-convex analytic functions

作　　者：乔金静[1] 黄苗苗 郭倩南 QIAO Jinjing;HUANG Miaomiao;GUO Qiannan(College of Mathematics and Information Science,Hebei University,Baoding 071002,China)

机构地区：[1]河北大学数学与信息科学学院,河北保定071002

出　　处：《河北大学学报（自然科学版）》2018年第6期567-571,共5页Journal of Hebei University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(11501159);河北省自然科学基金资助项目(A2018201033)

摘　　要：作为导数实部大于零的解析函数类的推广,研究了一类接近凸解析函数,讨论了此类函数的如下性质:偏差定理、凸半径、部分和的接近凸性和极值函数,也研究了解析函数幂级数展开式中除首项外前n项系数为零的子类.A class of close-to-convex functions is investigated,which is the generalization of the class of analytic functions whose derivatives have positive real parts.The following properties are discussed:distortion theorems,the radius of convexity,close-to-convexity of the partial sums and extremal functions.The subclass which contains functions with initial zero coefficients is also studied.

关 键 词：接近凸函数 偏差定理 凸半径 部分和 极值函数 

分 类 号：O174[理学—数学]