Cover Image

Generalized semiclassical orthogonal polynomials on the unit circle: A Riemann-Hilbert perspective

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Branquinho, Amílcar, Foulquié-Moreno, Ana, Rampazzi, Karina
Format:	Preprint
Published:	2024
Subjects:	Classical Analysis and ODEs 42C05 and 33C45 and 33C47 and 47A56 and 47A75
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Matrix Bessel Biorthogonal Polynomials: A Riemann-Hilbert approach
by: Branquinho, Amílcar, et al.
Published: (2025)

Banded totally positive matrices and normality for mixed multiple orthogonal polynomials
by: Branquinho, Amílcar, et al.
Published: (2024)

Classical multiple orthogonal polynomials for arbitrary number of weights and their explicit representation
by: Branquinho, Amílcar, et al.
Published: (2024)

Differential equations for a class of semiclassical orthogonal polynomials on the unit circle
by: Bracciali, Cleonice F., et al.
Published: (2025)

Integral and hypergeometric representations for multiple orthogonal polynomials
by: Branquinho, Amílcar, et al.
Published: (2024)

Classical discrete multiple orthogonal polynomials: hypergeometric and integral representations
by: Branquinho, Amílcar, et al.
Published: (2024)

Bidiagonal factorization of recurrence banded matrices in mixed multiple orthogonality
by: Branquinho, Amílcar, et al.
Published: (2024)

Unbounded banded matrices, shifted positive bidiagonal factorizations, and mixed-type multiple orthogonality
by: Branquinho, Amílcar, et al.
Published: (2026)

Finite Markov chains and multiple orthogonal polynomials
by: Branquinho, Amílcar, et al.
Published: (2023)

Using quasi-Darboux transformations to construct exceptional matrix polynomials
by: Parisi, Ignacio Bono, et al.
Published: (2025)

Spectral theory for Markov chains with transition matrix admitting a stochastic bidiagonal factorization
by: Branquinho, Amílcar, et al.
Published: (2026)

Bidiagonal Factorization of Banded Recursion Matrices for Mixed-Type Multiple Orthogonal Polynomials
by: Branquinho, Amílcar, et al.
Published: (2026)

Bidiagonal matrix factorisations related to multiple orthogonal polynomials
by: Branquinho, Amílcar, et al.
Published: (2024)

Darboux equivalence for matrix-valued orthogonal polynomials
by: Parisi, Ignacio Bono, et al.
Published: (2024)

Recurrence relations of Exceptional Laurent biorthogonal polynomials
by: Luo, Yu, et al.
Published: (2024)

Exceptional Krall polynomials
by: Kasman, Alex, et al.
Published: (2025)

Symmetric Truncated Freud polynomials
by: Huertas, Edmundo J., et al.
Published: (2024)

A new commutativity property of exceptional orthogonal polynomials
by: Castro, M. M., et al.
Published: (2022)

An electrostatic model for the roots of discrete classical orthogonal polynomials
by: Sánchez-Lara, Joaquín F.
Published: (2024)

R$_{II}$ type three term relations for bivariate polynomials orthogonal with respect to varying weights
by: Bracciali, Cleonice F., et al.
Published: (2024)

Uvarov Perturbations for Multiple Orthogonal Polynomials of the Mixed Type on the Step-Line
by: Mañas, Manuel, et al.
Published: (2025)

General Geronimus Perturbations for Mixed Multiple Orthogonal Polynomials
by: Mañas, Manuel, et al.
Published: (2024)

Convolved Numbers of $k$-sections of the Fibonacci Sequence: Properties, Consequences
by: Khamitov, Vitaly M., et al.
Published: (2026)

Non Abelian Toda-type equations and matrix valued orthogonal polynomials
by: Deaño, Alfredo, et al.
Published: (2023)

Matrix analogues of some asymptotic methods for Laplace integrals
by: Hang, Peng-Cheng
Published: (2024)

Optimal polynomial approximants and orthogonal polynomials on the unit circle. An electrostatic approach
by: Orive, Ramón, et al.
Published: (2025)

General Christoffel Perturbations for Mixed Multiple Orthogonal Polynomials
by: Mañas, Manuel, et al.
Published: (2024)

Nonnegative and strictly positive linearization of Jacobi and generalized Chebyshev polynomials
by: Kahler, Stefan
Published: (2018)

Matrix-Valued Hermite and Laguerre polynomials via Quadratic Transformation
by: Pacharoni, Inés, et al.
Published: (2025)

Mixed Multiple Orthogonal Laurent Polynomials on the Unit Circle
by: Huertas, Edmundo J., et al.
Published: (2024)

The bispectral problem, the Darboux process, monodromy and the Hermite operator
by: Castro, M. M., et al.
Published: (2025)

Multiple q-Kravchuk polynomials
by: Arvesú, J., et al.
Published: (2024)

On the Meixner-Pollaczek polynomials and the Sturm-Liouville problems
by: Ismail, Mourad E. H., et al.
Published: (2025)

Polynomial and rational measure modifications of orthogonal polynomials via infinite-dimensional banded matrix factorizations
by: Gutleb, Timon S., et al.
Published: (2023)

On the Asymptotics of Orthogonal Polynomials on Multiple Intervals with Non-Analytic Weights
by: Trogdon, Thomas
Published: (2024)

On the Hurwitz Stability of Hurwitz-Type Matrix Polynomials
by: Choque-Rivero, Abdon E.
Published: (2025)

Bivariate degenerate Hermite polynomials in the framework of Lie algebra K5
by: Khan, Subuhi, et al.
Published: (2025)

Toda and Laguerre-Freud equations for multiple discrete orthogonal polynomials with an arbitrary number of weights
by: Fernández-Irisarri, Itsaso, et al.
Published: (2024)

Asymptotic analysis of a family of Sobolev orthogonal polynomials related to the generalized Charlier polynomials
by: Dominici, Diego, et al.
Published: (2022)

Principal spectral theory and asymptotic behavior of the spectral bound for partially degenerate nonlocal dispersal systems
by: Zhang, Lei
Published: (2023)