具有负系数一致凸函数类子集的卷积性质

Convolution Property of a Subclass of Uniformly Convex Functions with Negative Coefficients

通过Hadamard积定义了一个分式算子,并利用分式算子A得到了单位开圆内具有负系数的一致凸函数类的新子类f(z)=z+∑∞n=2a n zn.研究了新子类U={z:|z|<1}的卷积性质和在积分变换Vλ(f)的作用下新子类的特征性质.

Making use of a linear operator Iλ,μ ,which is defined here by means of a Hadamard product ,we intro-duce a new class TS （λ,μ,α） of uniformly convex functions with negative coefficients defined by using a certain fractional calculus operator Iλ,μ .In this paper ,we discuss the convolution property of the class TS （λ,μ,α） and integrals transform is discussed.