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

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dc.creatorCostas-Santos, R. S.
dc.creatorMarcellan, F.
dc.date2008-07-08
dc.date.accessioned2026-07-07T13:04:37Z
dc.date.available2026-07-07T13:04:37Z
dc.descriptionThe 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.
dc.descriptionKeywords: Finite-type relation; Recurrence relation; q-Polynomials; q-Semiclassical polynomials
dc.identifierhttps://arxiv.org/abs/0807.1353
dc.identifierhttp://arxiv.org/abs/0807.1353
dc.identifierJ. Math. Anal. Appl. 329(1) (2007), 206-228
dc.identifierdoi:10.1016/j.jmaa.2006.06.036
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/227227
dc.subjectClassical Analysis and ODEs
dc.subject42C05; 33C45
dc.titleSecond structure relation for $q$-semiclassical polynomials of the Hahn Tableau
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