| Título |
Extensions of discrete classical orthogonal polynomials beyond the orthogonality |
| Autores |
COSTAS SANTOS, ROBERTO SANTIAGO, Sanchez-Lara, J. F. |
| Publicación externa |
Si |
| Medio |
J. Comput. Appl. Math. |
| Alcance |
Article |
| Naturaleza |
Científica |
| Cuartil JCR |
1 |
| Cuartil SJR |
2 |
| Impacto JCR |
1.29200 |
| Impacto SJR |
0.81000 |
| Web |
https://www.scopus.com/inward/record.uri?eid=2-s2.0-58849128184&doi=10.1016%2fj.cam.2008.07.055&partnerID=40&md5=01df80a00de326a12f3e2129521ec9c4 |
| Fecha de publicacion |
15/03/2009 |
| ISI |
000263986100012 |
| Scopus Id |
2-s2.0-58849128184 |
| DOI |
10.1016/j.cam.2008.07.055 |
| Abstract |
It is well-known that the family of Hahn polynomials {h(n)(alpha,beta) (x; N)}(n >= 0) is orthogonal with respect to a certain weight function up to degree N. In this paper we prove, by using the three-term recurrence relation which this family satisfies, that the Hahn polynomials can be characterized by a Delta-Sobolev orthogonality for every n and present a factorization for Hahn polynomials for a degree higher than N.\n We also present analogous results for dual Hahn, Krawtchouk, and Racah polynomials and give the limit relations among them for all n is an element of N-0. Furthermore, in order to get these results for the Krawtchouk polynomials we will obtain a more general property of orthogonality for Meixner polynomials. (c) 2008 Elsevier B.V. All rights reserved. |
| Palabras clave |
Classical orthogonal polynomials; Inner product involving difference operators; Non-standard orthogonality |
| Miembros de la Universidad Loyola |
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