| Title |
q-Classical Orthogonal Polynomials: A General Difference Calculus Approach |
| Authors |
COSTAS SANTOS, ROBERTO SANTIAGO, Marcellan, F. |
| External publication |
Si |
| Means |
ACTA APPLICANDAE MATHEMATICAE |
| 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 |
|
Manage cookies