Inverse logarithmic coefficients play an important role in the theory of univalent functions. In this paper, we obtain sharp bounds for the inverse logarithmic coefficients associated with the class \(\mathcal {S}_e^*\) of starlike functions defined by the subordination condition \( \mathcal {S}_e^*:= \left\{ f \in \mathcal {S} : \frac{z f'(z)}{f(z)} \prec e^z,\; z \in \mathbb {D} \right\} . \) We further derive sharp estimates for the Hankel determinants constructed from these inverse logarithmic coefficients for functions in the class \(\mathcal {S}_e^*\) . In addition, we investigate the inverse logarithmic coefficient difference problem for this class. In each case, the obtained bounds are shown to be sharp, and the corresponding extremal functions are explicitly determined.
