A matrix approach for the semiclassical and coherent orthogonal polynomials

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

Resultado de la investigaciónrevisión exhaustiva

6 Citas (Scopus)

Resumen

We obtain a matrix characterization of semiclassical orthogonal polynomials in terms of the Jacobi matrix associated with the multiplication operator in the basis of orthogonal polynomials, and the lower triangular matrix that represents the orthogonal polynomials in terms of the monomial basis of polynomials. We also provide a matrix characterization for coherent pairs of linear functionals.

Idioma originalEnglish
Páginas (desde-hasta)459-471
Número de páginas13
PublicaciónApplied Mathematics and Computation
Volumen256
DOI
EstadoPublished - 1 abr 2015
Publicado de forma externa

All Science Journal Classification (ASJC) codes

  • Matemática computacional
  • Matemáticas aplicadas

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