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Please use this identifier to cite or link to this item:
http://hdl.handle.net/10016/5924
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| Title: | Second structure relation for q-semiclassical polynomials of the Hahn Tableau |
| Author(s): | Costas-Santos, R. S.
Marcellán, Francisco |
| Publisher: | Elsevier |
| Issued date: | 1-May-2007 |
| Citation: | Journal of Mathematical Analysis and Applications, 2007, vol. 329, n. 1, p. 206-228 |
| URI: | http://hdl.handle.net/10016/5924 |
| ISSN: | 0022-247X |
| DOI: | 10.1016/j.jmaa.2006.06.036 |
| Description: | 23 pages, no figures.
MR#: MR2306798 (2009c:33042)
Zbl#: Zbl 1113.33022 |
| 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. |
| Sponsor: | 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. |
| Review: | PeerReviewed |
| Publisher version: | http://dx.doi.org/10.1016/j.jmaa.2006.06.036 |
| Keywords: | Finite-type relation
Recurrence relation
q-Polynomials
q-Semiclassical polynomials |
| Rights: | © Elsevier |
| Appears in Collections: | DM - GAMA - Artículos de Revistas
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