两类解析函数子类的包含关系和卷积性质

详细信息

INCLUSION RELATION AND CONVOLUTION PROPERTIES FOR TWO SUBCLASSES OF ANALYTIC FUNCTIONS

摘要: 引入并研究了带有Carlson-Shaffer算子L(a,c)f(z)的两个函数子类P(a,c;;h)和T(a,c;;h)的一些性质.特别,证明了这两个子类的几个包含关系,积分算子和卷积性质.
- 解析函数 /
- 卷积 /
- Carlson-Shaffer算子 /
- 从属关系 /
- 包含关系
Abstract: Various properties of two subclasses P(a,c;;h) and T(a,c;;h) of analytic functions with the Carlson-Shaffer operator L(a,c)f(z) have been investigated. In particular, several inclusion relations,integral operators and convolution properties for each of these function classes are proven.
- Analytic functions /
- Hadamard product /
- Carlson-Shaffer operator /
- Subordination /
- Inclusion