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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★ 1 cited
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…
math.CA2024
SzegÅ Recurrence for Multiple Orthogonal Polynomials on the Unit Circle
Marcus Vaktnäs, Rostyslav Kozhan
We investigate polynomials that satisfy simultaneous orthogonality conditions with respect to several measures on the unit circle. We generalize the direct and inverse SzegÅ recur…