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Please use this identifier to cite or link to this item:
http://hdl.handle.net/10016/6562
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| Title: | On polar Legendre polynomials |
| Author(s): | Pijeira, Héctor
Bello, José Y.
Urbina, Wilfredo |
| Publisher: | Rocky Mountain Mathematics Consortium |
| Issued date: | 2010 |
| Citation: | Rocky Mountain Journal of Mathematics, 2010 (In press) |
| URI: | http://hdl.handle.net/10016/6562 |
| ISSN: | 0035-7596 |
| Description: | 10 pages, no figures.-- MSC2000 codes: Primary 42C05; Secondary 33C25.-- ArXiv pre-print available at: http://arxiv.org/abs/0709.4537
Accepted in Rocky Mountain Journal of Mathematics. |
| Abstract: | We introduce a new class of polynomials {Pn}, that we call polar Legendre polynomials, they appear as solutions of an inverse Gauss problem of equilibrium position of a field of forces with n + 1 unit masses. We study algebraic, differential and asymptotic properties of this class of polynomials, that are simultaneously orthogonal with respect to a differential operator and a discrete-continuous Sobolev type inner product. |
| Sponsor: | Research by first author (H.P.) was partially supported by Dirección General de Investigación, Ministerio de Ciencia y Tecnología de España, under grant MTM2006-13000-C03-02, by Comunidad de Madrid-Universidad Carlos III de Madrid, under grant CCG06-UC3M/EST-0690 and by Centro de Investigación Matemática de Canarias (CIMAC). Research by second author (J.Y.B.) was supported by CNPq-TWAS. Research by third author (W.U.) was partially supported by Centro de Investigación Matemática de Canarias (CIMAC). |
| Review: | NonPeerReviewed |
| Publisher version: | http://rmmc.asu.edu/rmj/rmj.html |
| Keywords: | Orthogonal polynomials
Recurrence relation
Zero location
Asymptotic behavior |
| Appears in Collections: | DM - GAMA - Artículos de Revistas
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