Geometric properties of nonlinear integral transforms of certain analytic functions (Q1764327)

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scientific article; zbMATH DE number 2138337
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Geometric properties of nonlinear integral transforms of certain analytic functions
scientific article; zbMATH DE number 2138337

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    Geometric properties of nonlinear integral transforms of certain analytic functions (English)
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    24 February 2005
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    Let \(H\) denote the class of all analytic functions in the open unit disk \(D=\{z:| z| <1\}\) and \(A\) denote the class of functions \(f\in H\) normalised by a Taylor series. By using norm estimates of the pre-Schwarzian derivatives for certain analytic functions defined by a nonlinear integral transform, the authors gave several interesting geometric properties of the integral transform.
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    univalent functions
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    integral transform
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    pre-Schwarzian derivatives
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