A matrix approach for the semiclassical and coherent orthogonal polynomials

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

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© 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
Publication statusPublished - 1 Apr 2015
Externally publishedYes


All Science Journal Classification (ASJC) codes

  • Computational Mathematics
  • Applied Mathematics

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