Let T_p be the class of analytic and p-valent functions which can be P expressed in the form (The equation is abbreviated). The subclasses T_p* (A, B, α) and C_p(A, B, α) of T_p have been considered. Sharp results concerning coefficient estimates, distortion and covering theorems are obtained. The radius of convexity, for the class T_p* (A, B, α) is determined. It is further proved that the classes T_p* (A, B, α) and C_p (A, B, α) are closed under arithmetic mean and convex linear combinations.