Convolution Conditions for Some Subclasses of Meromorphic Bounded Functions of Complex Order

Mohamed Kamal Aouf, Adela Mostafa, Hanaa Zayed

Abstract

Making use of the operator H_{q,s}(α₁) for functions of the form:
f(z)=(1/z)+∑_{k=1}^{∞}a_{k}z^{k-1} ,
which are analytic in the punctured unit disc U^{∗}={z:z∈ℂ and 0<|z|<1}=U\{0}, we introduce two subclasses of meromorphic functions of complex order and investigate convolution properties, coefficient estimates and containment properties for these subclasses.