Study about inclusion relationships and integral preserving properties

Abstract

The object of the present paper is to investigate a family of integral operators defined on the space of meromorphic functions. By making use of these novel integral operators, we introduce and investigate several new subclasses of starlike, convex, close-to-convex, and quasi-convex meromorphic functions. In particular, we establish some inclusion relationships associated with the aforementioned integral operators. Several interesting integral-preserving properties are also considered.

Keywords

• Meromorphic functions
• Meromorphic starlike functions
• Meromorphic convex functions
• Integral operators
• Integral-preserving properties