一类由卷积定义的解析函数类的Fekete-Szego问题

Fekete-Szego Problem for a Subclass of Analytic Functions Defined by Convolution

引入了一类由卷积定义的解析函数Sγ(λ,h,Φ).利用分析的方法和技巧,得到了其上|a2|,|a3|的系数估计和Fekete-Szeg不等式.由所得结果得到了一些算子定义的函数子类的Fekete-Szeg不等式,推广了一些作者的结论.

In this paper,we introduce a new subclass of analytic functions Sγ(λ,h,Ф),which is defined by convolution.By using the analytical method and technique,we obtain estimates of|a 2|,|a 3|and Fekete-Szeg? inequalities for functions in this new subclass.Fekete-Szeg? inequality of its subclasses denoted by operator is obtained as special cases from our results,which generalize the results of some authors.