Bounding coefficients for certain subclasses of bi-univalent functions related to Lucas-Balancing polynomials.

In this paper, we introduced two novel subclasses of bi-univalent functions, M_Σ(α, B(x, ξ)) and H_Σ(α, µ, B(x, ξ)), utilizing Lucas-Balancing polynomials. Within these function classes, we established bounds for the Taylor-Maclaurin coefficients |a₂| and |a₃|, addressing the Fekete-Szegö functional problems specific to functions within these new subclasses. Moreover, we illustrated how our primary findings could lead to various new outcomes through parameter specialization. [ABSTRACT FROM AUTHOR]