Abstract
A unified presentation of a class of Humbert's polynomials in two variables which generalizes the well Gould, Milovanovic ' and Djordjevic ', Pathan and Khan polynomials and many not so called 'named' polynomials has inspired the present paper. We define here generalized Humbert-Hermite polynomials of two variables. Several expansions of Humbert-Hermite polynomials, Hermite-Gegenbaurer (or ultraspherical) polynomials and Hermite-Chebyshev polynomials are proved.