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Classification of all Δ-coherent pairs

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URI: https://hdl.handle.net/10016/6176
ISSN: 1065-2469 (Print)
ISSN: 1476-8291 (Online)
DOI: 10.1080/10652460008819238
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classification_marcellan_itsf_2000_ps.pdf (983.87 KB)
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2000-04
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Taylor & Francis
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Abstract
In a recent work we have proved that if $(u_0,u_1)$ is a δ-coherent pair of linear functionals, then at least one of them must be a classical discrete linear functional under certain conditions. In this paper we present a similar result for $D_\omega$-coherent pairs and the description of all δ-coherent pairs. Furthermore, by using a limit process we recover the classification of all coherent pairs of positive definite linear functionals.
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18 pages, no figures.-- MSC1991 codes: 42C05, 33C25.
MR#: MR1785535 (2001d:42016)
Zbl#: Zbl 0972.42017
Keywords
Orthogonal polynomials of a discrete variable, Linear functionals, Coherent pairs
Bibliographic citation
Integral Transforms and Special Functions, 2000, vol. 9, n. 1, p. 1-18
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