On the Fekete-Szeg5 Problem for a Class of Analytic Functions  

作　　者：郭栋 李宗涛 黄金超 

机构地区：[1]Foundation Department,Chuzhou Vocational and Technical College [2]Foundation Department,Guangzhou Civil Aviation College

出　　处：《Chinese Quarterly Journal of Mathematics》2015年第3期442-449,共8页数学季刊（英文版）

基　　金：Supported by the Natural Science Foundation of Department of Education of Anhui Province（KJ2015A372）

摘　　要：The Fekete-Szego inequality for a subclass H(α,λ,A,B) of the class H of normalized analytic functions is studied.For each f(z)=z+~∞∑_(n=2)αnz^n ∈ H(α,λ,A,B),the sharp upper bounds of |α_3-α_2~2|for any complex parameter u are obtained by using the fundamental inequalities of analytic functions and analytical techniques and the applications of the inequality of functions defined with Hadaniard product are proved.The Fekete-Szego inequality for a subclass H（α,λ,A,B） of the class H of normalized analytic functions is studied.For each f（z）=z＋~∞∑_（n=2）αnz^n ∈ H（α,λ,A,B）,the sharp upper bounds of ｜α_3-α_2~2｜for any complex parameter u are obtained by using the fundamental inequalities of analytic functions and analytical techniques and the applications of the inequality of functions defined with Hadaniard product are proved.

关 键 词：UNIVALENT FUNCTION H(α λ A B) FUNCTION Fekete-Szeg5 INEQUALITY 

分 类 号：O174.51[理学—数学]