New Subclasses of Analytic Univalent Functions Involving Poisson Distribution Series Bounded by Generalized Pascal Snail

Abstract

The present paper defines a new subclass of analytic functions by means of the generalized polylogarithm equipped with subordination. The defined new class engages Poisson distribution series and generalized Pascal snail. The early first few coefficients are obtained and their relevance to classical inequality by Fekete-Szego are discussed. The consequences of our parametric equation are pointed out.