Coefficient Estimates for Bi-Univalent Functions Associated with a Third-Order Logarithmic-Type Operator

In this paper, we introduce a new class of bi-univalent functions defined by a third-order logarithmic-type differential operator. By using the subordination principle and Carathéodory functions, we investigate the coefficient estimates for the Taylor-Maclaurin coefficients |a2| and |a3|. Furthermore, we derive the Fekete–Szegö inequality and obtain bounds for the second Hankel determinant H2(2) associated with this class. Several consequences of the main results are also discussed.