宋年胜, 刘名生. 两类解析函数子类的包含关系和卷积性质[J]. 华南师范大学学报（自然科学版）, 2008, 1(4): 31-37 .
引用本文: 宋年胜, 刘名生. 两类解析函数子类的包含关系和卷积性质[J]. 华南师范大学学报（自然科学版）, 2008, 1(4): 31-37 .
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INCLUSION RELATION AND CONVOLUTION PROPERTIES FOR TWO SUBCLASSES OF ANALYTIC FUNCTIONS[J]. Journal of South China Normal University (Natural Science Edition), 2008, 1(4): 31-37 .
Citation: INCLUSION RELATION AND CONVOLUTION PROPERTIES FOR TWO SUBCLASSES OF ANALYTIC FUNCTIONS[J]. Journal of South China Normal University (Natural Science Edition), 2008, 1(4): 31-37 .
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两类解析函数子类的包含关系和卷积性质

INCLUSION RELATION AND CONVOLUTION PROPERTIES FOR TWO SUBCLASSES OF ANALYTIC FUNCTIONS

    摘要
  • 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.

     

    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.

     

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