Abstract

Making use of the generalized hypergeometric functions, we define a new subclass of uniformly convex functions and a corresponding subclass of starlike functions with negative coefficients and obtain coefficient estimates, extreme points, the radii of close‐to‐convexity, starlikeness and convexity, and neighborhood results for the class . In particular, we obtain integral means inequalities for the function f that belongs to the class in the unit disc.

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