Displaying similar documents to “On the definition of a close-to-convex function.”

Convex combination of analytic functions

Nak Eun Cho, Naveen Kumar Jain, V. Ravichandran (2017)

Open Mathematics

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Radii of convexity, starlikeness, lemniscate starlikeness and close-to-convexity are determined for the convex combination of the identity map and a normalized convex function F given by f(z) = α z+(1−α)F(z).