Cover Image

Toda and Laguerre-Freud equations for multiple discrete orthogonal polynomials with an arbitrary number of weights

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Fernández-Irisarri, Itsaso, Mañas, Manuel
Format:	Preprint
Published:	2024
Subjects:	Classical Analysis and ODEs Mathematical Physics Exactly Solvable and Integrable Systems 42C05, 33C45, 33C47, 35C05, 37K10
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Symmetric Sextic Freud Weight
by: Clarkson, Peter A., et al.
Published: (2025)

Skew-orthogonal polynomials for a quartic Freud weight: two classes of quasi-orthogonal polynomials
by: Benassi, Costanza, et al.
Published: (2026)

Classical discrete multiple orthogonal polynomials: hypergeometric and integral representations
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)

Integral and hypergeometric representations for 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 Hermite Polynomials and Calogero-Moser Pairs
by: Paluso, Luke, et al.
Published: (2025)

The Laguerre constellation of classical orthogonal Polynomials
by: Costas-Santos, Roberto S.
Published: (2025)

Banded totally positive matrices and normality for mixed multiple orthogonal polynomials
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)

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

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

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

Generalized semiclassical orthogonal polynomials on the unit circle: A Riemann-Hilbert perspective
by: Branquinho, Amílcar, et al.
Published: (2024)

On classical orthogonal polynomials on bi-lattices
by: Castillo, K., et al.
Published: (2023)

The symmetric Dunkl-classical orthogonal polynomials revisited
by: Douak, Khalfa
Published: (2024)

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

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

Orthogonality of quasi-nature spectral polynomials of Jacobi and Laguerre type
by: Kumar, Vikash, et al.
Published: (2024)

On the discrete Painlevé equivalence problem, non-conjugate translations and nodal curves
by: Dzhamay, Anton, et al.
Published: (2026)

Ladder operators for generalized Zernike or disk polynomials
by: Marriaga, Misael E.
Published: (2024)

Zeros of generalized hypergeometric polynomials via finite free convolution. Applications to multiple orthogonality
by: Martinez-Finkelshtein, Andrei, 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)

Simple bounds for the extreme zeroes of Jacobi polynomials
by: Nikolov, Geno
Published: (2024)

Interlacing and monotonicity of zeros of Angelesco-Jacobi polynomials
by: Martinez-Finkelshtein, Andrei, et al.
Published: (2023)

Approximation and orthogonality on fully symmetric domains
by: Xu, Yuan
Published: (2025)

Interlacing of zeros of polynomials completed with two additional points
by: Jordaan, Kerstin, et al.
Published: (2026)

Separating zeros of polynomials using an added interlacing point
by: Jordaan, Kerstin, et al.
Published: (2026)

Stability of the Toda equations related to a perturbed $R_i$ type recurrence relation
by: Shukla, Vinay, et al.
Published: (2024)

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

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

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

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

Spectral quantization of discrete random walks on half-line, and orthogonal polynomials on the unit circle
by: Doliwa, Adam, et al.
Published: (2023)

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

Geronimus transformation and Sobolev-type orthogonal polynomials
by: Neha, N.
Published: (2026)

Sobolev orthogonal polynomials on the conic surface
by: Fernandez, Lidia, et al.
Published: (2022)

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