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A certain subclass of multivalent functions involving higher-order derivatives

A certain subclass of multivalent functions involving higher-order derivatives

In this paper we introduce and study a new class of analytic and p-valent functions involving higher-order derivatives. For this p-valent function class, we derive several interesting properties including (for example) coefficient inequalities, distortion theorems, extreme points, and the radii of closeto-convexity, starlikeness and convexity. Several applications involving an integral …