| Title |
Extensions of discrete classical orthogonal polynomials beyond the orthogonality |
| Authors |
COSTAS SANTOS, ROBERTO SANTIAGO, Sanchez-Lara, J. F. |
| External publication |
Si |
| Means |
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS |
| Scope |
Article |
| Nature |
Científica |
| JCR Quartile |
1 |
| SJR Quartile |
2 |
| JCR Impact |
1.292 |
| SJR Impact |
0.81 |
| 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 |
| Publication date |
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. |
| Keywords |
Classical orthogonal polynomials; Inner product involving difference operators; Non-standard orthogonality |
| Universidad Loyola members |
|
Manage cookies