The sharp bound for the third Hankel determinant of the inverse of functions associated with lemniscate of Bernoulli.

We present the sharp bounds for the third Hankel determinant | H 3 , 1 (f − 1) | and Zalcman functional | t 3 2 − t 5 | of the inverse function of the familiar subfamily of starlike functions associated with the right half of lemniscate of Bernoulli. [ABSTRACT FROM AUTHOR]