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math.CANov 4, 2013
17
citations (OpenAlex)
authors
  • Carlos Álvarez-Fernández
  • Manuel Mañas
institutions
  • Universidad Complutense de Madrid
  • Universidad Pontificia Comillas
arXiv abstractPDF
paper

On the Christoffel--Darboux formula for generalized matrix orthogonal polynomials of multigraded-Hankel type

arXiv:1311.0563 · doi:10.1016/j.jmaa.2014.03.094

Abstract

We obtain an extension of the Christoffel--Darboux formula for matrix orthogonal polynomials with a generalized Hankel symmetry, including the Adler-van Moerbeke generalized orthogonal polynomials.

9 pages

Cited by in corpus (9)

  • Matrix Orthogonal Laurent Polynomials on the Unit Circle and Toda Type Integrable Systems
  • Multivariate orthogonal polynomial and integrable systems
  • Christoffel transformations for matrix orthogonal polynomials in the real line and the non-Abelian 2D Toda lattice hierarchy
  • Another Christoffel--Darboux Formula for Multiple Orthogonal Polynomials of Mixed Type
  • Transformation theory and Christoffel formulas for matrix biorthogonal polynomials on the real line
  • CMV biorthogonal Laurent polynomials: Christoffel formulas for Christoffel and Geronimus perturbations
  • Matrix biorthogonal polynomials in the unit circle: Riemann-Hilbert problem and matrix discrete Painleve II system
  • CMV biorthogonal Laurent polynomials. II: Christoffel formulas for Geronimus-Uvarov perturbations
  • Quadratic transformation and matrix biorthogonal polynomials: an LU factorization approach
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