Δ-Coherent pairs and orthogonal polynomials of a discrete variable

Area, Iván; Godoy, Eduardo; Marcellán Español, Francisco José

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Δ-Coherent pairs and orthogonal polynomials of a discrete variable

Author(s): Area, Iván; Godoy, Eduardo; Marcellán Español, Francisco José

Publisher: Taylor & Francis

Issued date: 2003-02

Citation: Integral Transforms and Special Functions, 2003, vol. 14, n. 1, p. 31-57

ISSN: 1065-2469

DOI: 10.1080/10652460304546

Sponsor: F. Marcellán wishes to acknowledge Dirección General de Investigación (MCYT) of Spain for financial support under grant BFM2000-0206C04-01 and INTAS project 2000-272.

Review: PeerReviewed

Publisher version: http://dx.doi.org/10.1080/10652460304546

Keywords: Orthogonal polynomials of a discrete variable , Linear functionals , D-coherent pairs

URI: http://hdl.handle.net/10016/6011

Rights: © Taylor & Francis

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 rel [+]