2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/184268We compute the correlation functions mixing the powers of two non-commuting random matrices within the same trace. The angular part of the integration was partially known in the literature: we pursue the calculation and carry out the eigenvalue integration reducing the problem to the construction of the associated biorthogonal polynomials. The generating function of these correlations becomes then a determinant involving the recursion coefficients of the biorthogonal polynomials.16 pagesHigh Energy Physics - TheoryCondensed MatterExactly Solvable and Integrable Systemstext