CONVOLUTION PROPERTIES FOR CERTAIN SUBCLASSES OF MEROMORPHIC p-VALENT FUNCTIONS BY MEANS OF CASSINIAN OVALS

In the present paper we introduce two new sub-categories MS∗q,η(p, s; d) and MK q,η(p, s; d) for a variety of meromorphic operations using a q-derivative operator defined on a perforated unit disk. We use Cassinian Oval √1 + dz with d ∈ (0, 1] as a subordinant function. We also find the necessary and sufficient conditions for the activities of these clauses