Coefficient Estimates for Analytic Functions Subordinated to the Four Leaf Function

The purpose of this research is to unify and extend the study of the well-known concept of coefficient estimates for some subclasses of analytic functions. We define the new subclass A4L(^) of analytic functions related to the four-leaf domain to increase the adaptability of our investigation. The initial findings are the bound estimates for the coefficients |an|, n = 2, 3. Furthermore, we obtain the Fekete-Szego functional and provide an estimation of the Krushkal inequality for the function class A4L(^). In addition, we discussed initial coefficients and Fekete-Szego type inequalities for functions of the form f-1 and fZ) and 2 log fz) linked to the function of the four leaves.