  Following the trend of coefficient bound problems in Geometric Function
Theory, in the present paper, we obtain the sharp bound of $|H_3(1)|$ for the
class $\mathcal{S}^*$, of starlike functions and $\mathcal{SL}_q^*$, of $q$-
starlike functions related with lemniscate of Bernoulli. Bound on the initial
class is also an improvement over the existing known bound and the bound on the
latter class generalizes the prior known outcome. Further, we determine the
extremal functions to prove the sharpness of our results.
