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A matrix approach for the semiclassical and coherent orthogonal polynomials

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URI: https://hdl.handle.net/10016/23329
ISSN: 0096-3003
DOI: 10.1016/j.amc.2015.01.071
UXXI: AR/0000016580
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matrix_AMC_2015_ps.pdf (762.98 KB)
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2015-04-01
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Elsevier
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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.
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Semiclassical orthogonal polynomials, Matrix representation, Coherent pairs, Jacobi matrices
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Applied Mathematics and Computation, 2015, v. 256, pp. 459-471.
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