Convolution properties for some subclasses of meromorphic functions of complex order (Q1668922)

Summary: Making use of the operator \(\mathcal{L}_\upsilon\) for functions of the form \(f(z) = 1/z + \sum_{k = 1}^{\infty} a_k z^{k - 1}\), which are analytic in the punctured unit disc \(\mathbb{U}^\ast = \{z: z \in \mathbb{C}\) and \(0 < | z | < 1 \} = \mathbb{U} \backslash \{0 \}\), we introduce two subclasses of meromorphic functions and investigate convolution properties, coefficient estimates, and containment properties for these subclasses.