Some geometric properties of multivalent convex function for operator on Hilbert space

Abstract EN

By making use of the operator on Hilbert space, we introduce and study some properties of geometric of a subclass of multivalent convex functions with negative coefficients.

Also we obtain some geometric properties, such as, coefficient inequality, growth and distortion theorem, extreme points, convex set, closure theorem, radius of close-to-convexity, weighted mean and inclusive properties.-