Foupouagnigni, M.Marcellán Español, Francisco José2009-12-112009-12-112002Journal of Difference Equations and Applications, 2002, vol. 8, n. 8, p. 689-7171023-6198https://hdl.handle.net/10016/600529 pages, no figures.-- MSC2000 codes: 33C45, 39A10.MR#: MR1914598 (2003e:33021)Zbl#: Zbl 1021.33007We give some characterization theorems for the DᵂLaguerre-Hahn linear functionals and we extend the concept of the class of the usual Laguerre-Hahn functionals to the Dᵂ-Laguerre-Hahn functionals, recovering the classic results when ᵂ tends to zero. Moreover, we show that some transformations carried out on the Dᵂ-Laguerre-Hahn linear functionals lead to new Dᵂ-Laguerre-Hahn linear functionals. Finally, we analyze the class of the resulting functionals and we give some applications relative to the first associated Charlier, Meixner, Krawtchouk and Hahn orthogonal polynomials.eng© Taylor & FrancisRegular linear functionalsOrthogonal polynomialsStieltjes functionsRiccati difference equationLaguerre-Hahn classDᵂ-Laguerre-Hahn Classresearch articleMatemáticas10.1080/1023619021000000726open access