A Subclass of Harmonic Multivalent Functions Associated with Differential Operator

In the present paper, we propose and study a new subclass of harmonic multivalent functions in the open unit disc $ U=\{z:z\in \mathbb{C},|z|<1\},$ which is characterized by its association with a special differential operator. This investigation focuses on establishing several fundamental properties of the introduced subclass including coefficient bounds, convex combination criteria, convolution conditions and the characterization of its extreme points.