A New Subclass of Univalent Functions Defined by Raducanu-Orhan Linear Differential Operator

Abstract

The univalent function is incredibly exciting, as evidenced by the large number of new studies that have been written about it recently. As injective analytic functions, univalent functions do not take the same value at different points inside their domain. Univalent functions are widely used in several branches of mathematics, physics, and engineering and are particularly significant in complicated analysis. Operators of normalized analytic functions are in considerable demand these days, especially differential and integral operators. There are many mathematical and scientific applications for operators. These operators, which are also employed to explain a wide range of physical processes, can be utilized to solve differential equations. A significant amount of material has been studied and debated by numerous researchers for the operators. In this study, the Raducanu-Orhan differential operator defines the new subclass of univalent functions. Furthermore, the subclass’s Fekte-Szego inequality, extreme points, integral means of inequalities, and coefficient inequality have been determined.