Subordination and inclusion theorems for subclasses of meromorphic functions with applications to electromagnetic cloaking

In this paper subordination and inclusion relations are studied for some subclasses of multivalent meromorphic functions in the punctured unit disc having a pole of order pp at the origin. The subclasses under investigation are defined through combinations and iterations of a meromorphic analogue of the Cho–Kwon–Srivastava operator for normalized analytic functions. Specially, emphasis is given in this study on the effect of the increase of different parameters on the size of the subclasses. Applications are indicated for the subordination results to electromagnetic cloaking.