Generalization of two-variable Chebyshev and Gegenbauer polynomials

We use the concepts and the formalism of the two-variable Hermite polynomials of the Gould-Hopper type in order to derive integral representations of the Chebyshev and Gegenbauer polynomials. Most properties of these polynomial sets can be deduced in a fairly straightforward way from this representation, which actually provides a unifying framework for a large body of polynomial families related to the Gould-Hopper polynomials.