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

On sharp third Hankel determinant for certain starlike functions