Second Hankel determinant for a certain subclass of analytic functions defined by close-to-convex functions and the Salagean derivative operator

Abstract

In this investigation, we derive Fekete–Szegè inequalities and upper bounds for the second Hankel determinant for a new subclass of analytic functions in the open unit disk formed by the close-to-convex functions and the Salagean derivative operator. Additionally, there is discussion of a number of intriguing applications of the findings given here.