RT Journal Article
T1 Second structure relation for q-semiclassical polynomials of the Hahn Tableau
A1 Costas-Santos, R. S.
A1 Marcellán Español, Francisco José
AB 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.
PB Elsevier
SN 0022-247X
YR 2007
FD 2007-05-01
LK https://hdl.handle.net/10016/5924
UL https://hdl.handle.net/10016/5924
LA eng
NO 23 pages, no figures.
NO MR#: MR2306798 (2009c:33042)
NO Zbl#: Zbl 1113.33022
NO This work has been supported by Dirección General de Investigación (Ministerio de Educación y Ciencia) of Spain, grant BFM03-06335-C03-02 and INTAS research network NeCCA 03-51-6637.
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RD 1 sept. 2024