Inequalities for Analytic Functions Defined by a Fractional Integral Operator

In this paper we have introduced and studied the subclass D R m , n ( λ , d , α , $$\mathscr {D}\mathscr {R} _{m,n}(\lambda ,d,\alpha ,$$ β, γ) using the fractional integral associated with the convolution product of generalized Sălăgean operator and Ruscheweyh derivative. The main objective is to obtain some inequalities that give several properties such as coefficient estimates, distortion theorems, closure theorems, neighborhoods and the radii of starlikeness, convexity and close-to-convexity of functions belonging to the class D R m , n ( λ , d , α , β , γ ) $$\mathscr {D}\mathscr {R} _{m,n}(\lambda ,d,\alpha ,\beta ,\gamma )$$ .