A generalization of the classical Laguerre polynomials
We consider a modi cation of the gamma distribution by adding a discrete measure supported in the point x = 0. For large n we analyze the existence of orthogonal polynomials with respect to such a distribution. Finally we represent them as the hypergeometric function 3F3:
| Autores: | , |
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| Tipo de recurso: | artículo |
| Estado: | Versión enviada para evaluación y publicación |
| Fecha de publicación: | 1995 |
| País: | España |
| Institución: | Universidad de Sevilla (US) |
| Repositorio: | idUS. Depósito de Investigación de la Universidad de Sevilla |
| OAI Identifier: | oai:idus.us.es:11441/41776 |
| Acceso en línea: | http://hdl.handle.net/11441/41776 https://doi.org/10.1007/BF02850839 |
| Access Level: | acceso abierto |
| Palabra clave: | Laguerre polynomials Discrete measures Hypergeometric functions |
| Sumario: | We consider a modi cation of the gamma distribution by adding a discrete measure supported in the point x = 0. For large n we analyze the existence of orthogonal polynomials with respect to such a distribution. Finally we represent them as the hypergeometric function 3F3: |
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