两类扩展的双单叶α-对数强凸函数类的Fekete-Szeg不等式  

The Fekete-Szeg Inequalities for two Subclasses of Expanded α-Strong Logarithmic Convex Bi-Univalent Functions

作　　者：郭栋[1] 李宗涛[2] GUO Dong;LI Zong-tao(Foundation Department,Chuzhou Vocational And Technical College,Chuzhou 239000,China;Department of Mathematics Teaching,Guangzhou Civil Aviation College,Guangzhou 510403,China)

机构地区：[1]滁州职业技术学院基础部,安徽滁州239000 [2]广州民航职业技术学院数学教学部,广东广州510403

出　　处：《数学的实践与认识》2018年第16期240-247,共8页Mathematics in Practice and Theory

基　　金：安徽省高校自然科学研究项目(重点)(KJ2015A372,KJ2018A0833);广东省博士启动项目(2016A030310106)

摘　　要：引入了两类扩展的双单叶α-对数强凸函数族,利用分析的技巧研究了其Fekete-Szego不等式.所得第三项系数估计改进了许多双单叶函数的已有结果.In this paper, two new classes of expanded α-strong logarithmic convex Bi- univalent functions are introduced. By using the methods of analysis, we discuss the Fekete- SzegO inequalitys. The third coefficient estimates of the two Classes of Bi-univaient analytic functions are obtained, which improve those existing results.

关 键 词：双单叶函数 α-对数强凸函数 FEKETE-SZEGO不等式 微分从属 

分 类 号：O174.51[理学—数学]