Szegő recurrence for multiple orthogonal polynomials on the unit circle

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Padé approximation (41A21) Jacobi (tridiagonal) operators (matrices) and generalizations (47B36)

Cites Work

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Asymptotic zero distribution of Jacobi-Piñeiro and multiple Laguerre polynomials
Multiple orthogonal polynomials of mixed type: Gauss-Borel factorization and the multi-component 2D Toda hierarchy
Nearest neighbor recurrence relations for multiple orthogonal polynomials
Non-intersecting squared Bessel paths and multiple orthogonal polynomials for modified Bessel weights
Multiple orthogonal polynomials of mixed type and non-intersecting Brownian motions
Multiple orthogonal polynomials on the unit circle
Multiple orthogonal polynomials
Biorthogonal ensembles
On global fluctuations for non-colliding processes
A Christoffel--Darboux formula for multiple orthogonal polynomials
Spectral curves, variational problems and the Hermitian matrix model with external source
Global fluctuations for multiple orthogonal polynomial ensembles
Spectral theory of Jacobi matrices on trees whose coefficients are generated by multiple orthogonality
Jacobi matrices on trees generated by Angelesco systems: asymptotics of coefficients and essential spectrum
Christoffel functions for multiple orthogonal polynomials
Differential equations for the recurrence coefficients limits for multiple orthogonal polynomials from a Nevai class
Multiple orthogonal polynomials on the unit circle. Normality and recurrence relations
WHAT IS...A Multiple Orthogonal Polynomial?
Ratio Asymptotics for Multiple Orthogonal Polynomials
Multiple orthogonal polynomial ensembles
Self-adjoint Jacobi matrices on trees and multiple orthogonal polynomials
Asymptotics for the ratio and the zeros of multiple Charlier polynomials

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