  In this paper, we provide an estimation for the sharp bound of the third
Hankel determinant of starlike functions of order $\alpha$, where $\alpha$
ranges in the interval $[0, 1/6]\cup \{1/2\}$ and thereby extending the result
of Rath et al. (Complex Anal Oper Theory: No. 65, 16(5), 8 pp 2022).
