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Geometric properties of nonlinear integral transforms of certain analytic functions. (English) Zbl 1063.30009

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.

MSC:

30C45 Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.)
44A15 Special integral transforms (Legendre, Hilbert, etc.)
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References:

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