Radius of convexity and radius of starlikeness for some classes of analytic functions

Abstract

This paper deals with the properties convexity and starlikeness of order α, uniform convexity, and a special type of starikeness that in a natural way corresponds to uniform convexity. We are concerned with computing radius results for these properties in various classes of analytic functions. The results that we obtain can be regarded as generalizations of individual results obtained previously by various authors.