Extensions of discrete classical orthogonal polynomials beyond the orthogonality
| dc.creator | Costas-Santos, R. S. | |
| dc.creator | Sánchez-Lara, J. F. | |
| dc.date | 2007-10-25 | |
| dc.date | 2008-08-25 | |
| dc.date.accessioned | 2026-07-07T13:04:02Z | |
| dc.date.available | 2026-07-07T13:04:02Z | |
| dc.description | It is well known that the family of Hahn polynomials $\{h_n^{α,β}(x;N)\}_{n\ge 0}$ is orthogonal with respect to a certain weight function up to $N$. In this paper we present a factorization for Hahn polynomials for a degree higher than $N$ and we prove that these polynomials can be characterized by a $Δ$-Sobolev orthogonality. We also present an analogous result for dual-Hahn, Krawtchouk, and Racah polynomials and give the limit relations between them for all $n\in \XX N_0$. Furthermore, in order to get this results for the Krawtchouk polynomials we will get a more general property of orthogonality for Meixner polynomials. | |
| dc.description | 2 figures, 20 pages | |
| dc.identifier | https://arxiv.org/abs/0710.4930 | |
| dc.identifier | http://arxiv.org/abs/0710.4930 | |
| dc.identifier | J. Comp. Appl. Math. 225 (2009) pp. 440-451 | |
| dc.identifier | doi:10.1016/j.cam.2008.07.055 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/227018 | |
| dc.subject | Classical Analysis and ODEs | |
| dc.subject | 33C45, 26C05 | |
| dc.title | Extensions of discrete classical orthogonal polynomials beyond the orthogonality | |
| dc.type | text |