Admissibility condition for exceptional Laguerre polynomials
We prove a necessary and sufficient condition for the integrability of the weight associated to the exceptional Laguerre polynomials. This condition is very much related to the fact that the associated second order differential operator has no singularities in (0,+∞).
| Autores: | , |
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2014 |
| País: | España |
| Institución: | Universidad de Sevilla (US) |
| Repositorio: | idUS. Depósito de Investigación de la Universidad de Sevilla |
| OAI Identifier: | oai:idus.us.es:11441/182266 |
| Acceso en línea: | https://hdl.handle.net/11441/182266 https://doi.org/10.1016/j.jmaa.2014.11.035 |
| Access Level: | acceso abierto |
| Palabra clave: | Orthogonal polynomials Exceptional orthogonal polynomials Differential operators Laguerre polynomials |
| Sumario: | We prove a necessary and sufficient condition for the integrability of the weight associated to the exceptional Laguerre polynomials. This condition is very much related to the fact that the associated second order differential operator has no singularities in (0,+∞). |
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