On the radius constants for classes of analytic functions
  Radius constants for several classes of analytic functions on the unit disk are obtained. These include the radius of starlikeness of a positive order, radius of parabolic starlikeness, radius of Bernoulli lemniscate starlikeness, and radius of uniform convexity. In the main, the radius constants obtained are sharp. Conjectures on the non-sharp constants are given. 
Rosihan M. Ali, Naveen Jain, V. Ravichandran
math.CV