Strong Differential Subordination and Superordination Results for Extended q-Analogue of Multiplier Transformation

The results obtained by the authors in present article refer to quantum calculus applications regarding theories of strong differential subordination and superordination. q-analogue multiplier transformation is extended, order be applied on specific classes functions involved superordination theories. Using this extended transformation, a new class analytic normalized introduced investigated. convexity set belonging proven symmetry properties derive from characteristic class. Additionally, due contained class, interesting are using transformation. Furthermore, theory for obtaining superordinations which best subordinants provided.