具有第二固定负系数星像函数类的相关子集

A Corresponding Subclass of Starlike Functions with Fixed Second Negative Coefficient

通过Hadamard积定义了一个分式积分算子Iλ,μ,利用分式积分算子Iλ,μ及固定第二负系数得到了单位开圆内具有第二固定负系数的星像函数类的新子类TSb(λ,μ,α)。文章主要研究了这类新函数类TSb(λ,μ,α)的特征性质。

Making use of a linear operator Iλ,μ,which is defined here by means of a Hadamard product,we introduce a new class TSb（ λ,μ,α） of starlike functions with fixed second negative coefficient defined by using a certain fractional calculus operator Iλ,μ. In this paper,we discuss the characterization property： a necessary and sufficient condition for f（ z） to be in the class TSb（ λ,μ,α）.