复阶近于凸函数的Milin系数估计  

The Milin Coefficients of Close-to-Convex Functions of Complex Order

作　　者：牛潇萌[1] NIU Xiaomeng(School of Mathematics and Statistics, Chifeng University, Chifeng 024000, China)

机构地区：[1]赤峰学院数学与统计学院,赤峰024000

出　　处：《应用泛函分析学报》2018年第4期377-383,共7页Acta Analysis Functionalis Applicata

基　　金：国家自然科学基金(11561001);内蒙古自治区高等学校科学研究项目(NJZY18217);内蒙古高校青年科技英才支持计划(NJYT-18-A14)

摘　　要：单叶函数论的中心问题是系数问题,而Milin系数估计是很重要的研究课题.估计Milin系数的阶是一个仍未解决的难题.本文利用复分析中的一些初等方法,给出了复阶近于凸函数类的Milin系数估计,进一步给出复阶星象函数类的Milin系数估计.推广了一些作者的相关结果.The central problem of univalent functions theory is coefficient problem,Milin coefficient estimation is an important research topic. Estimating the order of Milin coefficients is a difficult problem which is still unresolved. In this paper, by using some elementary methods in the complex analysis, Milin coefficients of close-toconvex functions of complex order is discussed. Furthermore, we obtain Milin coefficient estimation of starlike functions of complex order. The results obtained generalize the related results of some authors.

关 键 词：解析函数 单叶函数 近于凸函数 Milin 系数 对数系数 

分 类 号：O174.51[理学—数学]