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A Jacobi type Christoffel–Darboux formula for multiple orthogonal polynomials of mixed type

  • Published:2015-03 Issue: Volume:468 Page:154-170
  • ISSN:0024-3795
  • Container-title:Linear Algebra and its Applications
  • language:en
  • Short-container-title:Linear Algebra and its Applications

Author:

Araznibarreta Gerardo,Mañas ManuelORCID

Funder

Universidad Complutense de Madrid

Ministerio de Economía y Competitividad

Publisher

Elsevier BV

Subject

Discrete Mathematics and Combinatorics,Geometry and Topology,Numerical Analysis,Algebra and Number Theory

Reference29 articles.

1. Group factorization, moment matrices and Toda lattices;Adler;Int. Math. Res. Not. IMRN,1997

2. Generalized orthogonal polynomials, discrete KP and Riemann–Hilbert problems;Adler;Comm. Math. Phys.,1999

3. Vertex operator solutions to the discrete KP hierarchy;Adler;Comm. Math. Phys.,1999

4. The spectrum of coupled random matrices;Adler;Ann. of Math.,1999

5. Darboux transforms on band matrices, weights and associated polynomials;Adler;Int. Math. Res. Not. IMRN,2001

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1. Spectral theory for bounded banded matrices with positive bidiagonal factorization and mixed multiple orthogonal polynomials;Advances in Mathematics;2023-12

2. Jacobi–Piñeiro Markov chains;Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas;2023-10-25

3. Multiple orthogonal polynomials: Pearson equations and Christoffel formulas;Analysis and Mathematical Physics;2022-10-03

4. Multivariate Orthogonal Laurent Polynomials and Integrable Systems;Publications of the Research Institute for Mathematical Sciences;2022-02-16

5. Revisiting Biorthogonal Polynomials: An LU Factorization Discussion;Orthogonal Polynomials: Current Trends and Applications;2021
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