On certain subclasses of multivalent functions associated with an extended fractional differintegral operator (Q881994)
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scientific article; zbMATH DE number 5156410
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On certain subclasses of multivalent functions associated with an extended fractional differintegral operator |
scientific article; zbMATH DE number 5156410 |
Statements
On certain subclasses of multivalent functions associated with an extended fractional differintegral operator (English)
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23 May 2007
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In this paper an extended fractional differintegral operator \(\Omega^{\lambda,p}_z\) \((-\infty<\lambda< p+1\); \(p\in\mathbb{N})\), for multivalent functions is introduced. Various mapping properties and inclusion relationships between certain subclasses of multivalent functions are investigated by applying the techniques of differential subordination. Consequences of the main results and their relevance to known results are pointed out.
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analytic function
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multivalent function
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differential subordination
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fractional differintegral operator
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Gauss hypergeometric function
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Hadamard product (or convolution)
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