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Δ-Coherent pairs and orthogonal polynomials of a discrete variable

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2003-02
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Taylor & Francis
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Abstract
In this paper we define the concept of D-coherent pair of linear functionals. We prove that if (u_0, u_1) is a D-coherent pair of linear functionals then at least one of them must be a classical discrete linear functional under certain conditions. Examples related to Meixner and Hahn linear functionals are given.
Description
27 pages, no figures.-- MSC1991 codes: 33C25; 42C05.
MR#: MR1949214 (2003m:33009)
Zbl#: Zbl 1047.42019
Keywords
Orthogonal polynomials of a discrete variable, Linear functionals, D-coherent pairs
Bibliographic citation
Integral Transforms and Special Functions, 2003, vol. 14, n. 1, p. 31-57