Fekete-Szeg\"{o} problem and Second Hankel Determinant for a class of bi-univalent functionsN. Magesh and J. YaminiIn this paper we define a subclass of bi-univalent functions. Further, we find the estimates on the bounds $|a_{2}|$ and $|a_{3}|$, the Fekete-Szeg\"{o} inequalities and the second Hankel determinant inequality for defined class of bi-univalent functions.Tbilisi Mathematical Journal, Vol. 11(1) (2018), pp. 141-157 |