| Title | q-Classical Orthogonal Polynomials: A General Difference Calculus Approach |
|---|---|
| Authors | COSTAS SANTOS, ROBERTO SANTIAGO, Marcellan, F. |
| External publication | Si |
| Means | Acta Appl Math |
| Scope | Article |
| Nature | Científica |
| JCR Quartile | 2 |
| SJR Quartile | 3 |
| JCR Impact | 0.979 |
| SJR Impact | 0.349 |
| Web | https://www.scopus.com/inward/record.uri?eid=2-s2.0-77953616839&doi=10.1007%2fs10440-009-9536-z&partnerID=40&md5=e6d4d58c049ec192937ef1acd83d65cc |
| Publication date | 01/07/2010 |
| ISI | 000278572500009 |
| Scopus Id | 2-s2.0-77953616839 |
| DOI | 10.1007/s10440-009-9536-z |
| Abstract | It is well known that the classical families of orthogonal polynomials are characterized as the polynomial eigenfunctions of a second order homogeneous linear differential/difference hypergeometric operator with polynomial coefficients.\n In this paper we present a study of the classical orthogonal polynomials sequences, in short classical OPS, in a more general framework by using the differential (or difference) calculus and Operator Theory. The Hahn\'s Theorem and a characterization theorem for the q-polynomials which belongs to the q-Askey and Hahn tableaux are proved. Finally, we illustrate our results applying them to some known families of orthogonal q-polynomials. |
| Keywords | Classical orthogonal polynomials; Discrete orthogonal polynomials; q-Polynomials; Characterization theorems; Rodrigues operator |
| Universidad Loyola members |