The object of the present paper is to derive
 several interesting properties of the class $R(\alpha,\beta,n)$
 consisting of analytic and univalent functions with negative
 coefficients. Coefficient inequalities, distortion theorems
 and closure theorems of functions in the class $R(\alpha,\beta,n)$
 are determined. Also radii of starlikeness and convexity
 are determined. We also obtain several interesting results
 for the modified Hadamard product of functions belonging to
 the class $R(\alpha,\beta,n)$.