Title |
Second structure relation for q-semiclassical polynomials of the Hahn Tableau |
Authors |
COSTAS SANTOS, ROBERTO SANTIAGO, Marcellan, F. |
External publication |
Si |
Means |
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS |
Scope |
Article |
Nature |
Científica |
JCR Quartile |
1 |
SJR Quartile |
1 |
JCR Impact |
0.872 |
SJR Impact |
1.449 |
Web |
https://www.scopus.com/inward/record.uri?eid=2-s2.0-33846298052&doi=10.1016%2fj.jmaa.2006.06.036&partnerID=40&md5=0170dfe12be38a77dfb171e019112bf0 |
Publication date |
01/05/2007 |
ISI |
000244462500014 |
Scopus Id |
2-s2.0-33846298052 |
DOI |
10.1016/j.jmaa.2006.06.036 |
Abstract |
The q-classical orthogonal polynomials of the q-Hahn Tableau are characterized from their orthogonality condition and by a first and a second structure relation. Unfortunately, for the q-semiclassical orthogonal polynomials (a generalization of the classical ones) we find only in the literature the first structure relation. In this paper, a second structure relation is deduced. In particular, by means of a general finite-type relation between a q-semiclassical polynomial sequence and the sequence of its q-differences such a structure relation is obtained. (c) 2006 Elsevier Inc. All rights reserved. |
Keywords |
finite-type relation; recurrence relation; q-polynomials; q-semiclassical polynomials |
Universidad Loyola members |
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