Second Hankel Determinant Bound Application to Certain Family of Bi-Univalent Functions.

A novel family of bi-univalent holomorphic functions is introduced by the use of the Lindelöf principle. The upper bound of the second Hankel determinant, H 2 , 2 (χ) , is evaluated. Furthermore, specific results are obtained as special cases of the main conclusion. These cases coincide with certain recently obtained results and improve or enhance specific ones. [ABSTRACT FROM AUTHOR]