On Certain Novel Subclasses of Analytic and Univalent Functions

The purpose of the present paper is to introduce two novel subclasses T-mu (n, lambda, alpha) and H-mu (n, lambda, alpha, kappa) of analytic and univalent functions with negative coefficients, involving Ruscheweyh derivative operator. The various results investigated in this paper include coefficient estimates, distortion inequalities, radii of close- to- convexity, starlikenes, and convexity for the functions belonging to the class T-mu (n, lambda, alpha). These results are then appropriately applied to derive similar geometrical properties for the other class H-mu (n, lambda, alpha; kappa) of analytic and univalent functions. Relevant connections of these results with those in several earlier investigations are briefly indicated.