Title Second structure relation for q-semiclassical polynomials of the Hahn Tableau
Authors COSTAS SANTOS, ROBERTO SANTIAGO, Marcellan, F.
External publication Si
Means J. Math. Anal. Appl.
Scope Article
Nature Científica
JCR Quartile 1
SJR Quartile 1
JCR Impact 0.87200
SJR Impact 1.44900
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
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