Majorization by starlike functions

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On Uniformly Starlike Functions

These are normalized functions regular and univalent in E: IzI < 1, for which f( E) is starlike with respect to the origin. Let y be a circle contained in E and let [ be the center of y. The Pinchuk question is this: Iff(z) is in ST, is it true thatf(y) is a closed curve that is starlike with respect tof(i)? In Section 5 we will see that the answer is no. There seems to be no reason to demand t...

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ژورنال

عنوان ژورنال: The Journal of Nonlinear Sciences and Applications

سال: 2017

ISSN: 2008-1898,2008-1901

DOI: 10.22436/jnsa.010.03.29