3 papers
math.CV2026
Zeros of Laurent multiple orthogonal polynomials on the unit circle
Rostyslav Kozhan, Marcus Vaktnäs
We investigate two distinct formulations of Laurent multiple orthogonal polynomials on the unit circle, introduced in arXiv:2410.12094 and arXiv:2601.04783 respectively. For the fi…
math.CA2026
SzegŠMapping and Hermite--Padé Polynomials for Multiple Orthogonality on the Unit Circle
Rostyslav Kozhan, Marcus Vaktnäs
We investigate generalized Laurent multiple orthogonal polynomials on the unit circle satisfying simultaneous orthogonality conditions with respect to probability measures or l…
math.CA2026
Angelesco and AT systems on the Unit Circle
Rostyslav Kozhan, Marcus Vaktnäs
We introduce the concept of Laurent multiple orthogonality on the unit circle and define Angelesco and AT systems in this setting. Using a generalized Andreief identity, we establi…