| Title | Extensions of discrete classical orthogonal polynomials beyond the orthogonality |
|---|---|
| Authors | COSTAS SANTOS, ROBERTO SANTIAGO, Sanchez-Lara, J. F. |
| External publication | Si |
| Means | J. Comput. Appl. Math. |
| 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 |