Radius of Starlikeness for Classes of Analytic Functions

We consider normalized analytic function f on the open unit disk for which either \operatorname{Re} f(z)/g(z)>0, |f(z) /g(z) - 1|<1 or \operatorname{Re} (1-z^2) f(z) /z>0 for some analytic function g with \operatorname{Re} (1-z^2) g(z) /z>0. We have obtained the radii for these functions to belong to various subclasses of starlike... Show more