Article
On characterizations of classical polynomials
Author/s | Álvarez Nodarse, Renato |
Department | Universidad de Sevilla. Departamento de Análisis Matemático |
Publication Date | 2006-11-01 |
Deposit Date | 2016-09-22 |
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Abstract | It 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 ... It 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. |
Citation | Álvarez Nodarse, R. (2006). On characterizations of classical polynomials. Journal of Computational and Applied Mathematics, 196 (1), 320-337. |
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