An application of certain convolution operator involving Poisson distribution series

The purpose of this paper is to establish connections between various subclasses of analytic univalent functions by applying certain convolution operator involving Poisson distribution series. To be more precise, we investigate such connections with the classes of analytic univalent functions k − UCV∗(β), k − Sp∗(β), R(β), Rτ(A,B), k − PUCV∗(β) and k − PSp∗(β) in the open unit disc U.