A certain subclass $T_{Omega}(n,;p,;lambda,;alpha)$ of starlike functions in the unit disk is introduced. The object of the present paper is to derive several interesting properties of functions belonging to the class $T_{Omega}(n,;p,;lambda,;alpha)$. Coefficient inequalities, distortion theorems and closure theorems of functions belonging to the class $T_{Omega}(n,;p,;lambda,;alpha)$ are determined. Also we obtain radii of convexity for the class $T_{Omega}(n,;p,;lambda,;alpha)$. Furthermore, integral operators and modified Hadamard products of several functions belonging to the class $T_{Omega}(n,;p,;lambda,;alpha)$ are studied here.