new criteria for univalent‎, ‎starlike‎, ‎convex‎, ‎and close-to-convex functions on the unit disk

In the present paper, we introduce and investigate three interesting superclasses sd,s*d and kd of analytic, normalized, and univalent functions in the open unit disk d. for functions belonging to the classes sd,s*d and kd, we derive several properties including the coefficient bounds and growth theorems. our findings generalize many well-known results. we also obtain a new univalent criterion and some interesting properties for univalent, starlike, convex and close-to-convex functions. many superclasses studied by various researchers previously are obtained as special cases for our two new superclasses.