Estimates of the Initial Taylor-Maclaurin Coefficients of a general subclass of Bi-Bazilevič type functions

Abstract This paper introduces a novel subclass of generalized bi-Bazilevič functions, which unifies and bridges several well-known subclasses, such as bi-starlike and bi-convex functions. We derive bounds for the initial coefficients of the defined class through the generating function of Horadam polynomials and establish estimates for the famous Fekete–Szegö inequality. Additionally, we provide relevant connections to previously established results. By specializing the parameters in our main results, we obtain further interesting findings that extend the scope of this study.