In this paper, we define the Horadam polynomials and hybrinomials with
two variables x and y; called the bivariate Horadam polynomials and
hybrinomials, respectively. Also, we obtain Binet formula, generating
function and some properties for the bivariate Horadam hybrinomials.
Moreover, we get Catalan, Cassini and d’Ocagne identities for these
hybrinomials. Finally, the matrix representations of the bivariate
Horadam hybrinomials were introduced.