On a certain class of p-valent functions with negative coefficients

Abstract

In this paper we introduce a new class of p-valent starlike functions with negative coefficients defined by fractional derivative operator. We obtain coefficient bounds, distortion inequalities, Hadamard product, linear combinations and inclusion theorems. Also, we find extreme points and radii of close-to-convexity, starlikeness and convexity for this class. The integral preserving properties and integral means inequalities are also determined.