Some Geometric Properties for a Class of Analytic Functions Defined by Beta Negative Binomial Distribution Series

Abstract

In the present paper, we introduce and study a subclass of analytic and univalent functions associated with Beta negative binomial distribution series which is defined in the open unit disk U. We discuss some important geometric properties of this subclass, like, coefficient estimates, extreme points and integral representation. Also, we obtain results about integral mean associated with fractional integral.