|
Archivo Abierto Institucional de la Universidad Carlos III de Madrid >
Investigación >
Departamentos >
Departamento de Matemáticas >
Grupo de Análisis Matemático Aplicado (GAMA) >
DM - GAMA - Artículos de Revistas >
Please use this identifier to cite or link to this item:
http://hdl.handle.net/10016/5983
|
| Title: | An electrostatic interpretation of zeros of Hermite-type orthogonal polynomials |
| Author(s): | Garrido, Ángeles
Marcellán, Francisco |
| Publisher: | Mesa State College |
| Issued date: | 2003 |
| Citation: | Communications in the Analytic Theory of Continued Fractions, 2003, n. 11, p. 50-63 |
| URI: | http://hdl.handle.net/10016/5983 |
| Description: | 14 pages, no figures.-- MSC2000 codes: Primary 42C05, secondary 33C45.
MR#: MR2018950 (2004j:42021) |
| Abstract: | Interpretation electrostatic of the distribution of the zeros of the Hermite-type orthogonal polynomials which are orthogonal with respect to a perturbation of the Hermite weight function by the addition of a mass point at zero. These polynomials satisfy a second order linear differential equation with polynomials coefficients. It plays an important role in the electrostatic interpretation of the distribution of the zeros of this family of polynomials. |
| Sponsor: | This work has been supported by INTAS grant INTAS 2000-272. The work of the third author has been supported by Dirección General de Investigación (Ministerio de Ciencia y Tecnología) of Spain, grant BFM 2000-0206-C04-01. |
| Review: | PeerReviewed |
| Keywords: | Hermite weight
Orthogonal polynomials
Zeros
Potential theory |
| Rights: | © Mesa State College |
| Appears in Collections: | DM - GAMA - Artículos de Revistas
|
Items in E-Archivo are protected by copyright, with all rights reserved, unless otherwise indicated.
|
