Generalization of certain subclasses of multivalent functions with negative coefficients defined by using a differential operator

Making use of a differential operator, we introduce and study a certain class SCn(j,p,q,α,λ)SCn(j,p,q,α,λ) of pp-valently analytic functions with negative coefficients. In this paper, we obtain numerous sharp results including (for example ) coefficient estimates, distortion theorem, radii of close-to convexity, starlikeness and convexity and modified Hadamard products of functions belonging to the class SCn(j,p,q,α,λ)SCn(j,p,q,α,λ). Finally, several applications investigate an integral operator, and certain fractional calculus operators are also considered.