New Applications of the Sălăgean Quantum Differential Operator for New Subclasses of q-Starlike and q-Convex Functions Associated with the Cardioid Domain

In this paper, we define a new family of q-starlike and q-convex functions related to the cardioid domain utilizing ideas subordination Sălăgean quantum differential operator. The primary contribution article is derivation sharp inequality for newly established subclasses in open unit disc U. For novel family, bounds first two Taylor–Maclaurin coefficients, Fekete–Szegö-type functional, coefficient inequalities are studied. Furthermore, also investigate some results inverse function belonging classes functions. presented sharp. To draw connections between early present findings, several well-known corollaries highlighted. Symmetric calculus operator theory can be used symmetry properties