Communications of the
Korean Mathematical Society CKMS

The aim 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 analytic univalent functions with positive coefficients in the open unit disk $\mathbb{U}$.

Keywords: Univalent, starlike functions, and convex functions, Hadamard product, Pascal distribution series, Alexander integral operator

MSC numbers: Primary 30C45