Stanisława KANAS and Toshiyuki SUGAWA

Strong starlikeness for a class of convex functions


By means of the Briot-Bouquet differential subordination, we estimate the order of strong starlikeness of strongly convex functions of a prescribed order and, more generally, functions in a prescribed class. We also make numerical experiments to examine our estimates.

submission: 7 June, 2005
revision: 9 October, 2006

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