On a class of \(p\)-valent functions with negative coefficients defined by opoola differential operator

Abstract

Using Opoola differential operator, we defined a subclass \(S^{n}_{p}(\lambda,\alpha,\gamma,\delta)\ ) of the class of multivalent or \(p\)-valent functions.Several properties of the class were studied, such as coefficient inequalities,Hadamard product, radii of close-to-convex, star-likeness, convexity, extreme points, the integral mean inequalities for the fractional derivatives, and further growth and distortion theorem are given using fractional calculus techniques.