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Please use this identifier to cite or link to this item:
http://hdl.handle.net/10016/6438
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| Title: | A high order q-difference equation for q-Hahn multiple orthogonal polynomials |
| Author(s): | Arvesú, Jorge
Esposito, Chiara |
| Publisher: | Taylor & Francis |
| Issued date: | Oct-2009 |
| Citation: | Journal of Difference Equations and Applications, 2010 (In press) |
| URI: | http://hdl.handle.net/10016/6438 |
| ISSN: | 1023-6198 (Print)
1563-5120 (Online) |
| Description: | 15 pages, no figures.-- MSC2000 code: 33C45.-- ArXiv pre-print available at: http://arxiv.org/abs/0910.4041
Article in press |
| Abstract: | A high order linear q-difference equation with polynomial coefficients having q-Hahn multiple orthogonal polynomials as eigenfunctions is given. The order of the equation is related to the number of orthogonality conditions that these polynomials satisfy. Some limiting situations when $q\to1$ are studied. Indeed, the difference equation for Hahn multiple orthogonal polynomials given in [7] is corrected and obtained as a limiting case. |
| Sponsor: | The research of the first author was partially supported by ‘Ramón y Cajal’ research program of Spain, the research grant MTM2006-13000-C03-02 of the Ministerio de Educación y Ciencia of Spain, and grants CCG07-UC3M/ESP-3339 and CCG08-UC3M/ESP-4516 from Comunidad Autónoma de Madrid. |
| Review: | NonPeerReviewed |
| Keywords: | Multiple orthogonal polynomials
Hermite-Padé approximation
Difference equations
Classical orthogonal polynomials of a discrete variable |
| Appears in Collections: | DM - GAMA - Artículos de Revistas
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