Applications of Lucas-balancing polynomials on a certain families of bi-univalent functions

In this paper, we define two families [Formula: see text] and [Formula: see text] of bi-Bazilevič and bi-Ozaki-close-to-convex functions associated with Lucas-balancing polynomials. We demonstrate the upper bounds for the initial Taylor–Maclaurin coefficients. In addition, the Fekete–Szegö type inequalities are derived for functions in these families. Moreover, we indicate certain special cases and consequences for our results.