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Second structure relation for q-semiclassical polynomials of the Hahn Tableau

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URI: http://hdl.handle.net/10016/5924
ISSN: 0022-247X
DOI: 10.1016/j.jmaa.2006.06.036
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second_marcellan_jmaa_2007_ps.pdf (556.05 KB)
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2007-05-01
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Elsevier
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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.
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23 pages, no figures.
MR#: MR2306798 (2009c:33042)
Zbl#: Zbl 1113.33022
Keywords
Finite-type relation, Recurrence relation, q-Polynomials, q-Semiclassical polynomials
Bibliographic citation
Journal of Mathematical Analysis and Applications, 2007, vol. 329, n. 1, p. 206-228
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