2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/169774Bleher and Kuijlaars, and Daems and Kuijlaars showed that the correlation functions of the eigenvalues of a random matrix from unitary ensemble with external source can be expressed in terms of the Christoffel-Darboux kernel for multiple orthogonal polynomials. We obtain a representation of this Christoffel-Darboux kernel in terms of the usual orthogonal polynomials.Complex VariablesOn the Christoffel-Darboux kernel for random Hermitian matrices with external sourcetext