Garza Gaona, Lino GustavoGarza Gaona, Luis EnriqueMarcellán Español, Francisco JoséPinzon Cortés, Natalia Camila2016-07-122017-04-022015-04-01Applied Mathematics and Computation, 2015, v. 256, pp. 459-471.0096-3003https://hdl.handle.net/10016/23329We 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.14application/pdfeng© Elsevier 2015Atribución-NoComercial-SinDerivadas 3.0 EspañaSemiclassical orthogonal polynomialsMatrix representationCoherent pairsJacobi matricesresearch articleMatemáticas10.1016/j.amc.2015.01.071open access459471Applied Mathematics and Computation256AR/0000016580