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Please use this identifier to cite or link to this item:
http://hdl.handle.net/10016/6422
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| Title: | On the connection and linearization problem for hypergeometric q-polynomials |
| Author(s): | Álvarez Nodarse, Renato
Arvesú, Jorge
Yáñez, Rafael José |
| Publisher: | Elsevier |
| Issued date: | 1-May-2001 |
| Citation: | Journal of Mathematical Analysis and Applications, 2001, vol. 257, n. 1, p. 52-78 |
| URI: | http://hdl.handle.net/10016/6422 |
| ISSN: | 0022-247X |
| DOI: | 10.1006/jmaa.2000.7302 |
| Description: | 27 pages, no figures.-- MSC2000 code: 33D45.
MR#: MR1824666 (2002f:33025)
Zbl#: Zbl 0983.33009 |
| Abstract: | In the present paper, starting from the second-order difference hypergeometric equation on the non-uniform lattice x(s) satisfied by the set of discrete hypergeometric orthogonal q-polynomials {pn}, we find analytical expressions of the expansion coefficients of any q-polynomial rm(x(s)) on x(s) and of the product rm(x(s))qj(x(s)) in series of the set {pn}. These coefficients are given in terms of the polynomial coefficients of the second-order difference equations satisfied by the involved discrete hypergeometric q-polynomials. |
| Sponsor: | This work has been partially supported by the European project INTAS-93-219-ext as well as by the Dirección General de Enseñanza Superior (DGES) of Spain under Grant BHA 2000-0206-C04-02 (R.A.N., J.A.) and PB 95-1205 (R.J.Y.) and by the Junta de Andalucía (R.J.Y.) under Grant FQM207. |
| Review: | PeerReviewed |
| Publisher version: | http://dx.doi.org/10.1006/jmaa.2000.7302 |
| Keywords: | q-polynomials
Connection and linearization problems |
| Rights: | © Elsevier |
| Appears in Collections: | DM - GAMA - Artículos de Revistas
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