Sharp Coefficient Bounds for a New Subclass of q-Starlike Functions Associated with q-Analogue of the Hyperbolic Tangent Function

In this study, by making the use of q-analogous hyperbolic tangent function and a Sălăgean q-differential operator, new class q-starlike functions is introduced. The prime contribution study covers derivation sharp coefficient bounds in open unit disk U, especially first three bounds, Fekete–Szego type functional, upper second- third-order Hankel determinant for to class. We also Zalcman generalized conjectures investigate newly defined functions. Furthermore, some known corollaries are highlighted based on unique choices involved parameters l q.