Inclusion Properties for Certain Subclass of Meromorphic Multivalent Functions and Applications on the Electromagnetic cloaking

Abstract

For several subclasses of multivalent meromorphic functions in the punctured unit disc having a pole at the origin of p order, the subordination and some of inclusion properties are studied. Through combinations and iterations of operator T_(,p,t)^(n,m) (a,c,δ) for normalized regular functions the subclasses under search are defined. In this paper the impact of the increase of diverse parameters on the size of the subclasses are discussed. Applications are specified for the subordination outcomes on the electromagnetic cloaking.Keywords: Meromorphic function, Multivalent meromorphic function, Hadamard product, differential subordination, Electromagnetic cloaking, Refractive indexMathematics subject classification 30C45.