New criteria for meromorphic functions

Abstract

The aim of the present paper is to obtain an argument property of certain meromorphic functions in the punctured open unit disk. In addition, we derive some interesting conditions for the meromorphic functions to be in the classes of starlike and convex of order α strongly starlike and strongly convex of order δ and strongly starlike and strongly convex of orderα and type δ. A new subclass of meromorphic functions is introduced. Finally, as an application, the conditions of starlikeness for the integral operator of meromorphic functions are also studied.