Publication:
Second structure relation for semiclassical orthogonal polynomials

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2007-03-15
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Elsevier
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Abstract
Classical orthogonal polynomials are characterized from their orthogonality and by a first or second structure relation. For the semiclassical orthogonal polynomials (a generalization of the classical ones), we find only the first structure relation in the literature. In this paper, we establish a second structure relation. In particular, we deduce it by means of a general finite-type relation between a semiclassical polynomial sequence and the sequence of its monic derivatives.
Description
18 pages, no figures.-- MSC2000 codes: 42C05; 33C45.
MR#: MR2289233 (2009a:33013)
Zbl#: Zbl 1125.33008
Keywords
Finite-type relation, Recurrence relations, Orthogonal polynomials, Semiclassical linear functionals
Bibliographic citation
Journal of Computational and Applied Mathematics, 2007, vol. 200, n. 2, p. 537-554