Inclusion relations and radius problems for a subclass of starlike functions

By considering the polynomial function \phi_{car}(z)=1+z+z^2/2, we define the class \Scar consisting of normalized analytic functions f such that zf'/f is subordinate to \phi_{car} in the unit disk. The inclusion relations and various radii constants associated with the class \Scar and its connection with several well-known subclasses of starlike functions... Show more