Hankel Determinants of Logarithmic Coefficients for the Class of Bounded Turning Functions Associated with Lune Domain

In this paper, we first obtained some initial logarithmic coefficient bounds on a subclass of bounded turning functions $\mathcal{R}_{\mathcal{L}}$ related to a lune domain. For functions belonging to this class, we determined the sharp bounds for the second Hankel determinant of logarithmic coefficients $H_{2,1}\left( F_{f}/2\right) $ of bounded turning functions related to a lune domain. Finally, we calculated the bounds of third Hankel determinant of logarithmic coefficients $H_{3,1}\left( F_{f}/2\right)$ of bounded turning functions associated with a lune domain.