On a family of holomorphic functions involving linear operator

The purpose of the present article is to study and introduce family holomorphic univalent functions defined on open unit disk incluing linear operators reduced by using convolution concept between two familiar introduced many authors also studied in various families generalized starlike convex functions. Also, mathematicians considered these families, our deals with Bord distribution series, we obtained interesting geometric properties like coefficient bounds belonging proving main result characterization theorem, derivative distortion theorem ,the extreme points take into consideration found them, radii convexity starlikeness are pointed out belong this .