The primary purpose of this study is to look at the differential quasi-subordination result for meromorphic multivalent analytic functions. We show how higher-order differential quasisubordination discoveries can be applied in a variety of ways in an open unit disk. We provide a new class S*p,q (x, ℓ, j). to represent higher-order derivatives of meromorphic multivalent analytic functions associated with the operator. We have some findings for this class.