Radius problems for a subclass of close-to-convex univalent functions (Q1205611)

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scientific article; zbMATH DE number 147578
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Radius problems for a subclass of close-to-convex univalent functions
scientific article; zbMATH DE number 147578

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    Radius problems for a subclass of close-to-convex univalent functions (English)
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    1 April 1993
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    Let \(f\) and \(F\) be analytic in the unit disc. Then \(f\) is said to be in \(P[A,B]\) if \(f\) is subordinate to \((1+Az)/(1+Bz)\) where \(-1\leq B<A\leq 1\). Further, for \(0\leq\beta<1\), \(F\) is in \(K_ \beta^*[A,B]\) if there is a function \(g\) with \(zg'(z)/g(z)\) in \(P[A,B]\) such that \({\mathcal R}(zF'(z))'/g(z)>\beta\). These classes are related to other classes of univalent functions.
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    convex
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    close-to-convex
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    subordinate
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