Properties on subclass of Sakaguchi type functions using a Mittag-Leffler type Poisson distribution series

Abstract

Few subclasses of Sakaguchi type functions are introduced in this article, based on the notion of Mittag-Leffler type Poisson distribution series. The class $ \mathfrak{p}\text-\nobreak\Phi\mathcal{S}^*(t,\mu,\nu,J,K) $ is defined, and the necessary and sufficient condition, convex combination, growth distortion bounds, and partial sums are discussed.

Keywords

• mittag-leffler type poisson distribution
• analytic function
• conic-type region
• geometric properties