几类双单叶Bazilevic函数类的系数估计  

Coefficient Estimates for Several Subclasses of Bi-Univalent Bazilevic Functions

作　　者：郭栋[1] 李宗涛[2] GUO Dong;LI Zong-tao(Foundations Department,Chuzhou Vocational and Technical College,Chuzhou 239000,China;Foundations Department,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基础部,广东广州510403

出　　处：《安徽师范大学学报（自然科学版）》2018年第6期523-530,共8页Journal of Anhui Normal University(Natural Science)

基　　金：安徽省高校自然科学基金重点资助项目(KJ2015A372,KJ2018A0833);广东省博士启动项目(2016A030310106)

摘　　要：本文引入并研究了几类单位圆盘U内双单叶解析Bazilevic型函数类,利用微分从属定理和分析技巧得到了这些函数类的|a2|和|a3|的系数估计,主要结果推广了一些已有结论。在证明方法上有了较大的改进。In this paper,we introduce and study several new subclasses of the function class ∑ of bi-univalent functions of the Bazilevic type defined in the open unit disk.Furthermore,we find estimates on the coefficients |a2| and |a3| for functions in these new subclasses by using subordination theorem and analytical techniques.The results presented in this paper generalize the recent works of several earlier authors.There are a few changes in the method of proof.

关 键 词：双单叶叶函数 BAZILEVIC函数 系数估计 微分从属 

分 类 号：O174.51[理学—数学]