Horadam polynomials for a new family of λ-pseudo bi-univalent functions associated with Sakaguchi type functions.

In the present article, we introduce and study a new family F Σ (δ , λ , m , n , r) of normalized analytic and bi-univalent functions associating λ -pseudo functions with Sakaguchi type functions by using the Horadam polynomials. We obtain upper bounds for the initial Taylor–Maclaurin coefficients | a 2 | and | a 3 | . Further we obtain the Fekete–Szegö inequality for functions in the family F Σ (δ , λ , m , n , r) which we have introduced here. We also indicate several certain special cases and consequences for our results. [ABSTRACT FROM AUTHOR]