2016-09-222016-09-222006-11-01Álvarez Nodarse, R. (2006). On characterizations of classical polynomials. Journal of Computational and Applied Mathematics, 196 (1), 320-337.0377-04271879-1778http://hdl.handle.net/11441/45234It is well known that the classical families of Jacobi, Laguerre, Hermite, and Bessel polynomials are characterized as eigenvectors of a second order linear differential operator with polynomial coefficients, Rodrigues formula, etc. In this paper we present an unified study of the classical discrete polynomials and q-polynomials of the q-Hahn tableau by using the difference calculus on linear-type lattices. We obtain in a straightforward way several characterization theorems for the classical discrete and q-polynomials of the q-Hahn tableau. Finally, a detailed discussion of the Marcelln et. al. characterization is presented.application/pdfengAttribution-NonCommercial-NoDerivatives 4.0 Internacionalhttp://creativecommons.org/licenses/by-nc-nd/4.0/Classical polynomialsq-Hahn tableauDiscrete polynomialsCharacterization theoremsinfo:eu-repo/semantics/articleinfo:eu-repo/semantics/openAccess10.1016/j.cam.2005.06.046https://idus.us.es/xmlui/handle/11441/45234