Area, IvánGodoy, EduardoMarcellán Español, Francisco José2009-12-182009-12-182000-04Integral Transforms and Special Functions, 2000, vol. 9, n. 1, p. 1-181065-2469 (Print)1476-8291 (Online)http://hdl.handle.net/10016/617618 pages, no figures.-- MSC1991 codes: 42C05, 33C25.MR#: MR1785535 (2001d:42016)Zbl#: Zbl 0972.42017In 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.application/pdfeng© Taylor & FrancisOrthogonal polynomials of a discrete variableLinear functionalsCoherent pairsresearch articleMatemáticas10.1080/10652460008819238open access