Poisson distribution series on certain analytic functions involving Stirling numbers

Abstract

In this paper, we find a necessary and sufficient condition and inclusion relation for Poisson distribution series to be in the class [Formula: see text] of analytic functions with negative coefficients defined by Sălăgean differential operator involving Stirling numbers. Also, we consider an integral operator related to Poisson distribution series. Several corollaries and consequences of the main results are also considered.