Abstract The object of the present paper is to investigate coefficients for functions belonging to the subclasses Rp[α, β] and Cp[α, β] of p-valent αprestarlike functions of order β with negative coefficients. We obtain closure theorems, integral operators, radius of starlikeness and distortion theorems for functions belonging to the classes Rp[α, β] and Cp[α, β]. We also obtain several results for the modified Hadamard products of functions belonging to the classes Rp[α, β] and Cp[α, β].