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Please use this identifier to cite or link to this item:
http://hdl.handle.net/10016/5917
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| Title: | Jacobi-Type orthogonal polynomials: holonomic equation and electrostatic interpretation |
| Author(s): | Dueñas, Herbert
Marcellán, Francisco |
| Publisher: | Mesa State College |
| Issued date: | 2007 |
| Citation: | Communications in the Analytic Theory of Continued Fractions, 2007, n. 15, p. 4-19 |
| URI: | http://hdl.handle.net/10016/5917 |
| Description: | 16 pages, no figures.-- MSC2000 code: 33C47.
MR#: MR2410226 (2009c:33029) |
| Abstract: | In this contribution we study some pertubation of the Jacobi weight function by adding a mass point at x = 1, one of the ends of the interval supporting such a measure. We find the explicit expression of the corresponding orthogonal polynomials as well as the holonomic equation that such polynomials satisfy. Next, we analyze the location of their zeros and, finally, we give an electrostatic interpretation of them. |
| Sponsor: | The work of the second author (FM) has been supported by Dirección General de investigación, Ministerio de Educación y Ciencia of Spain, grant MTM2006-13000-C03-02. |
| Review: | PeerReviewed |
| Keywords: | Orthogonal polynomials
Jacobi weights
Holonomic equation
Zeros
Logarithmic potential |
| Rights: | © Mesa State College |
| Appears in Collections: | DM - GAMA - Artículos de Revistas
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