INCLUSION RELATION AND CONVOLUTION PROPERTIES FOR TWO SUBCLASSES OF ANALYTIC FUNCTIONS

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Journal of South China Normal University (Natural Science Edition) > 2008 > 1(4): 31-37 .

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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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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INCLUSION RELATION AND CONVOLUTION PROPERTIES FOR TWO SUBCLASSES OF ANALYTIC FUNCTIONS

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Received Date: September 12, 2007
Revised Date: January 16, 2008

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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

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