Determinantal Formulas for Rational Perturbations of Multiple
Orthogonality Measures
Determinantal Formulas for Rational Perturbations of Multiple
Orthogonality Measures
In a previous paper, we studied the Christoffel transforms of multiple orthogonal polynomials by means of adding a finitely supported measure to the multiple orthogonality system. This approach was able to handle the Christoffel transforms of the form $(\Phi\mu_1,\dots,\Phi\mu_r)$ for a polynomial $\Phi$, where $\Phi\mu_j$ is the linear functional defined …