New subclasses of meromorphic multivalent functions associated with a differential operator

Abstract

In this paper, we define and investigate a new subclass for higher _ order derivatives of meromorphic multivalent functions which are associated with a differential operator we obtained many geometric properties sharp results including coefficient inequalities, extreme points, distortion bounds, and convex.combinations by using for the above classes of meromorphic multivalent functions.

Subject Classification:

• 30C45
• 30C50

Keywords:

• Multivalent functions
• Meromorphic functions
• Distortion inequality
• Extreme points
• Differential operator