Coefficient Inequalities of Second Hankel Determinants for Some Classes of Bi-Univalent Functions

摘要

In this paper, we investigate two sub-classes S ? (θ, β) and K ? (θ, β) of bi-univalent functions in the open unit disc Δ that are subordinate to certain analytic functions. For functions belonging to these classes, we obtain an upper bound for the second Hankel determinant H 2 (2).