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Please use this identifier to cite or link to this item:
http://hdl.handle.net/10016/6664
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| Title: | Linearization and connection coefficients for hypergeometric-type polynomials |
| Author(s): | López Artés, Pedro
Sánchez Dehesa, Jesús
Martínez-Finkelshtein, Andrei
Sánchez-Ruiz, Jorge |
| Publisher: | Elsevier |
| Issued date: | 16-Nov-1998 |
| Citation: | Journal of Computational and Applied Mathematics, 1998, vol. 99, n. 1-2, p. 15-26 |
| URI: | http://hdl.handle.net/10016/6664 |
| ISSN: | 0377-0427 |
| DOI: | 10.1016/S0377-0427(98)00141-1 |
| Description: | 12 pages, no figures.-- MSC2000 codes: 33C45, 26C05.-- Issue title: "Proceedings of the VIIIth Symposium on Orthogonal Polynomials and Their Application" (Seville, Spain, Sep 1997).
MR#: MR1662679 (99k:33006)
Zbl#: Zbl 0927.33005 |
| Abstract: | We consider the problem of finding closed analytical formulas for both the linearization and connection coefficients for hypergeometric-type polynomials, directly in terms of the corresponding differential equations. We illustrate the method by producing explicit formulas for Hermite polynomials. |
| Sponsor: | This work has been partially supported by the Junta de Andalucía, under the research grants FQM0229 (P. L. A. and A. M. F.) and FQM0207 (J. S. D. and J. S. R.), and by the Spanish DGES projects PB96-0170 (J. S. R.) and PB95-1205. Also, support from the European project INTAS-93-219-EXT is acknowledged. |
| Review: | PeerReviewed |
| Publisher version: | http://dx.doi.org/10.1016/S0377-0427(98)00141-1 |
| Keywords: | Hypergeometric polynomials
Connection coefficients
Second-order differential equations |
| Rights: | © Elsevier |
| Appears in Collections: | DM - GAMA - Artículos de Revistas
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