Δ-Coherent pairs and orthogonal polynomials of a discrete variable

Area, IvánGodoy, EduardoMarcellán Español, Francisco José2009-12-112009-12-112003-02Integral Transforms and Special Functions, 2003, vol. 14, n. 1, p. 31-571065-2469http://hdl.handle.net/10016/601127 pages, no figures.-- MSC1991 codes: 33C25; 42C05.MR#: MR1949214 (2003m:33009)Zbl#: Zbl 1047.42019In 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.application/pdfeng© Taylor & FrancisOrthogonal polynomials of a discrete variableLinear functionalsD-coherent pairsΔ-Coherent pairs and orthogonal polynomials of a discrete variableresearch articleMatemáticas10.1080/10652460304546open access