Coefficient bounds and Fekete–Szegö Inequality for a new family of bi-univalent functions defined by Horadam polynomials

In the current article, we introduce and investigate a new family 𝒦_Σ(δ ,λ ,x) of analytic and bi-univalent functions by using the Horadam polynomials defined in the open unit disk 𝕌 . We determine upper bounds for the initial Taylor–Maclaurin coefficients. Further we obtain the Fekete–Szegö inequality of functions belonging to this family. We also point out several certain special cases for our results.