Extensions of sufficient conditions for starlikeness and convexity of order α for multivalent function

Abstract

In this paper, we obtain extensions of sufficient conditions for analytic functions f ( z ) in the open unit disk U to be starlike and convex of order α . Our results unify and extend some starlikeness and convexity conditions for analytic functions discussed by Mocanu (1988) [4] , Uyanik et al. (2011) [3] and others.