Subclass of Negative Coefficient Univalent Functions Involving Raducanu-Orhan Differential Operator Connected with Pascal Distribution Series

Abstract

Recent years have shown us how fascinating the univalent function is; many new publications have been written in this field. Currently, operators of normalized analytic functions, differential and integral operators are highly sought after. Numerous researchers have examined and debated a great deal of material for the operators. This work introduces a new subclass of the function class for univalent functions defined by the Raducanu-Orhan differential operator connected with Pascal distribution series. Our goal in this work is to further our understanding and make inferences regarding the functions that are a part of these new subclass. Furthermore, the convexity of the subclass, growth and distortion, radius of starlike, extreme points, and integral means of inequalities are obtained. All this research was performed inside an open unit disc.