New bi-univalent function families associated with Laguerre polynomials: coefficient estimates and Fekete-Szego inequality

Abstract

This study presents and explores subclasses of bi-univalent analytic functions defined on the open unit disk, constructed in connection with Laguerre polynomials. By employing appropriate coefficient techniques and subordination principles. Upper estimates are established for the early coefficients |a2| and |a3| for functions belonging to the proposed classes. Furthermore, we establish Fekete–Szego type inequalities involving the third coefficient in terms of the second. Several known results are obtained as special cases of our findings. The results presented here generalize and extend various earlier works in the context of bi-univalent function theory.