Applications of q-Calculus Multiplier Operators and Subordination for the Study of Particular Analytic Function Subclasses

In this article, a new linear extended multiplier operator is defined utilizing the q-Choi–Saigo–Srivastava and q-derivative. Two generalized subclasses of q—uniformly convex starlike functions order δ—are studied using operator. Necessary conditions are derived for to belong in each two subclasses, subordination theorems involving Hadamard product such particular stated proven. As applications those findings specific values parameters associated corollaries provided. Additionally, examples created demonstrate conclusions’ applicability relation from newly introduced subclasses.