Sharp Bounds of Hankel Determinant for the Inverse Functions on a Subclass of Bounded Turning Functions

The purpose of this paper is to determine the estimates of some coefficient-related problems for the class ℬ𝒯_3ℓ of bounded turning functions connected to a three-leaf shaped domain. We calculate the upper bounds of the second and third order Hankel determinants with the coefficients of the inverse functions. The bounds are proved to be sharp.