3 papers
math.CA2026
Determinantal Formulas for Rational Perturbations of Multiple Orthogonality Measures
Rostyslav Kozhan, Marcus Vaktnäs
Given multiple orthogonal polynomials on the real line with respect to a system , we investigate multiple orthogonal polynomials associated with any rat…
math.CA2025
Christoffel Transform and Multiple Orthogonal Polynomials
Rostyslav Kozhan, Marcus Vaktnäs
We investigate multiple orthogonal polynomials associated with the system of measures obtained by applying a Christoffel transform to each of the orthogonality measures. We present…
math.CA2025
Zeros of Multiple Orthogonal Polynomials: Location and Interlacing
Rostyslav Kozhan, Marcus Vaktnäs
We prove a criterion on the possible locations of zeros of type I and type II multiple orthogonal polynomials in terms of normality of degree Christoffel transforms. We provide…