The order of starlikeness of some classes of strongly starlike functions

Abstract

In this paper we consider the order of strongly starlikeness for functions in Silverman's class G_b and in the generalized Mocanu's class M (α, β1, β2). Some previous results are improved.

Mathematics Subject Classification (2010): Primary 30C45; Secondary 30C80.

Keywords: Analytic, starlike, convex, strongly starlike, subordination