Displaying similar documents to “On Komatu's conjectures for certain linear operator”

An application of the generalized Bessel function

Hanan Darwish, Abdel Moneim Lashin, Bashar Hassan (2017)

Mathematica Bohemica

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We introduce and study some new subclasses of starlike, convex and close-to-convex functions defined by the generalized Bessel operator. Inclusion relations are established and integral operator in these subclasses is discussed.

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).