Convolution Properties for Some Subclasses of Meromorphic Functions of Complex Order

Abstract

Making use of the operator ${\mathcal{L}}_{\upsilon }$ for functions of the form $f\left(z\right)=1/z+{\sum }_{k=1}^{\mathrm{\infty }}{a}_k{z}^{k-1}$, which are analytic in the punctured unit disc ${\mathbb{U}}^{\ast }=\{z:z\in \mathbb{C}$ and , we introduce two subclasses of meromorphic functions and investigate convolution properties, coefficient estimates, and containment properties for these subclasses.