Coefficient functionals for a class of bounded turning functions connected to three leaf function

Abstract

In this article, we define the class of bounded turning functions connected with three leaf function to investigate results for the estimates of four initial coefficients, Fekete-Szegö functional, the second-order Hankel determinant and Zalcman conjecture and these results are shown to be sharp. Furthermore, we estimate the bounds of the third-order Hankel determinants for this class and for its 2-fold and 3-fold symmetric functions. Finally we evaluate the sharp Krushkal inequality for the functions in this class.