A matrix approach for the semiclassical and coherent orthogonal polynomials

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

Applied Mathematics and Computation, 2015, vol. 256, issue C, 459-471

Abstract: 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.

Keywords: Semiclassical orthogonal polynomials; Matrix representation; Coherent pairs; Jacobi matrices (search for similar items in EconPapers)
Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:256:y:2015:i:c:p:459-471

DOI: 10.1016/j.amc.2015.01.071

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