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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

✓

SJR Quartile

✓

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

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