Some Radius Problem for Certain Families of Analytic Functions

Authors: YAŞAR POLATOĞLU, METİN BOLCAL

Abstract: The aim of this paper is to give bounds of the radius of $\alpha $-convexity for certain families of analytic functions in the unit disc. The radius of $\alpha $-convexity is generalization of the radius of convexity and the radius of starlikeness, and introduced by S.S.Miller; P.T.Mocanu and M.O.Reade [3,4]

Keywords: Subordination principle, Carathedory functions, Janowski Starlike functions, Starlike functions of order $\beta$, The radius of Starlikeness, The radius of convexity, The radius of $\alpha$-convexity.

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