Pascal distribution series and its applications on parabolic starlike functions with positive coefficients

The purpose of this article is to make a connection between the Pascal distribution series and some subclasses of normalized analytic functions whose coefficients are probabilities of the Pascal distribution. To be more precise, we investigate such connections with the classes of parabolic starlike and uniformly convex functions with positive coefficients in the open unit disk \mathbb{U}.

کلیدواژه ها:

Starlike functions ، Convex functions ، Uniformly Starlike functions ، Uniformly Convex functions ، Hadamard product ، Pascal distribution series