A matrix approach for the semiclassical and coherent orthogonal polynomials

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

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

© 2015 Elsevier Inc. 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.
Original languageEnglish
Pages (from-to)459-471
Number of pages13
JournalApplied Mathematics and Computation
DOIs
Publication statusPublished - 1 Apr 2015
Externally publishedYes

Fingerprint

Orthogonal Polynomials
Semiclassical Orthogonal Polynomials
Polynomials
Lower triangular matrix
Multiplication Operator
Jacobi Matrix
Linear Functionals
Monomial
Polynomial
Mathematical operators

All Science Journal Classification (ASJC) codes

  • Computational Mathematics
  • Applied Mathematics

Cite this

Garza, Lino G. ; Garza, Luis E. ; Marcellán, Francisco ; Pinzón-Cortés, Natalia C. / A matrix approach for the semiclassical and coherent orthogonal polynomials. In: Applied Mathematics and Computation. 2015 ; pp. 459-471.
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A matrix approach for the semiclassical and coherent orthogonal polynomials. / Garza, Lino G.; Garza, Luis E.; Marcellán, Francisco; Pinzón-Cortés, Natalia C.

In: Applied Mathematics and Computation, 01.04.2015, p. 459-471.

Research output: Contribution to journalArticle

TY - JOUR

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AU - Garza, Lino G.

AU - Garza, Luis E.

AU - Marcellán, Francisco

AU - Pinzón-Cortés, Natalia C.

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N2 - © 2015 Elsevier Inc. 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.

AB - © 2015 Elsevier Inc. 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.

U2 - 10.1016/j.amc.2015.01.071

DO - 10.1016/j.amc.2015.01.071

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