A generalized conic domain and its applications to certain subclasses of analytic functions (Q2288246)

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A generalized conic domain and its applications to certain subclasses of analytic functions
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    A generalized conic domain and its applications to certain subclasses of analytic functions (English)
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    17 January 2020
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    Using the idea of \(q\)-calculus, the authors generalize the conic domain and define various subclasses of analytic functions which map the open unit disk onto this generalized conic domain. The authors obtain some results about coefficients estimates and convolution properties for these newly defined classes of analytic functions.
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    analytic functions
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    \(q\)-star-like functions
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    close-to-convex
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    \(q\)-close-to-convex functions
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    \(q\)-derivative operator
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    \(q\)-hypergeometric functions
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