积分算子Lc(f)在几类解析函数中的性质

Integral operator Lc(f)and its propertiesin some kinds of analytic functions

一些解析函数子类及其经典性质都是由Carlson-Shaffer算子、Ruscheweyh导数算子、Noor积分算子等线性算子在单位圆内通过Hadamard乘积或卷积来定义并系统研究的.利用n阶Noor算子I n刻划了四类解析函数的新子类S*n(γ),C n(γ),K n(β,γ),K*n(β,γ),给出了积分算子L c(f)的定义,并讨论了L c(f)在这四类函数类中的性质.

Some interesting subclasses of analytic functions are defined by linear operators such as Carlson-Shaffer operator,Rucheweyh derivative operator,Noor integral operator in unit circle through Hadamard product or convolution,and their classical properties are systematically studied.The new subclasses of four kinds of analytic functions S*n(γ),C n(γ),K n(β,γ),K*n(β,γ)are described by using I n operators.The definition of integral operator L c(f)is given,and its properties in these four kinds of function classes are discussed.