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Certain subclasses of holomorphic functions defined by the Gaussian hypergeometric functions - MaRDI portal

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Certain subclasses of holomorphic functions defined by the Gaussian hypergeometric functions (Q2865193)

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scientific article; zbMATH DE number 6234451
Language Label Description Also known as
English
Certain subclasses of holomorphic functions defined by the Gaussian hypergeometric functions
scientific article; zbMATH DE number 6234451

    Statements

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    29 November 2013
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    univalent functions
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    convolution
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    starlikeness
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    convexity
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    close-to-convexity
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    Certain subclasses of holomorphic functions defined by the Gaussian hypergeometric functions (English)
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    A generalized differential operator is used to define a new class of analytic functions with negative coefficients. Properties like coefficient estimates, distortion theorems, radii of convexity and starlikeness and integral transforms for this class are obtained. Connections with previous results are also pointed out.
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