A matrix characterization for the <sup>Dν</sup>-semiclassical and <sup>Dν</sup>-coherent orthogonal polynomials

Lino G. Garza, Luis E. Garza, Francisco Marcellán, Natalia C. Pinzón-Cortés

Resultado de la investigación

Resumen

© 2015 Elsevier Inc. All rights reserved. We present a new structure relation for the sequence of orthogonal polynomials associated with a -semiclassical linear functional of class s, and then we use it to obtain a matrix characterization of the -semiclassical orthogonal polynomials in terms of the Jacobi matrix associated with the multiplication operator in the basis of orthonormal polynomials, and the nonsingular lower triangular matrix that represents the orthogonal polynomials with respect to some bases of polynomials. We also provide a matrix characterization of -coherent pairs of linear functionals.
Idioma originalEnglish
Páginas (desde-hasta)242-259
Número de páginas18
PublicaciónLinear Algebra and Its Applications
DOI
EstadoPublished - 15 dic 2015
Publicado de forma externa

    Huella digital

All Science Journal Classification (ASJC) codes

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

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