Simple sufficient conditions for starlikeness and convexity for meromorphic functions

Abstract

In this paper we investigate some extensions of sufficient conditions for meromorphic multivalent functions in the open unit disk to be meromorphic multivalent starlike and convex of order α. Our results unify and extend some starlikeness and convexity conditions for meromorphic multivalent functions obtained by Xu et al. [2], and some interesting special cases are given.

Keywords

• meromorphic functions
• multivalent functions
• meromorphic starlike functions
• meromorphic convex functions
• analytic branch
• 30c45