2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/157891We introduce the notion of bilinear moment functional and study their general properties. The analogue of Favard's theorem for moment functionals is proven. The notion of semi-classical bilinear functionals is introduced as a generalization of the corresponding notion for moment functionals and motivated by the applications to multi-matrix random models. Integral representations of such functionals are derived and shown to be linearly independent.25 pages, 3 figures, minor correction and change to FiguresClassical Analysis and ODEs30E15; 30E20; 35N05text