Some subclasses of meromorphic multivalent functions involving a family of multiplier transforms

Abstract

Making use of the principle of subordination between analytic functions and a family of multiplier transforms defined on the space of meromorphic functions, we introduce and investigate some new subclasses of meromorphic multivalent functions.  Such results as inclusion relationships and integral-preserving properties associated with these subclasses are proved.  Several subordination and superordination results involving this family of multiplier transforms are also investigated.