On the properties for modifications of classical orthogonal polynomials of discrete variables
We consider a modi cation of moment functionals for some classical polynomials of a discrete variable by adding a mass point at x = 0. We obtain the resulting orthogonal polynomials, identify them as hypergeometric functions and derive the second order di erence equation which these polynomials sati...
| Autores: | , , |
|---|---|
| Formato: | artículo |
| Estado: | Versión enviada para evaluación y publicación |
| Fecha de publicación: | 1995 |
| País: | España |
| Recursos: | Universidad de Sevilla (US) |
| Repositorio: | idUS. Depósito de Investigación de la Universidad de Sevilla |
| OAI Identifier: | oai:idus.us.es:11441/41774 |
| Acesso em linha: | http://hdl.handle.net/11441/41774 https://doi.org/10.1016/0377-0427(95)00097-6 |
| Access Level: | acceso abierto |
| Palavra-chave: | Meixner Charlier and Kravchuk polynomials discrete measures hypergeometric functions associated polynomials |
| Resumo: | We consider a modi cation of moment functionals for some classical polynomials of a discrete variable by adding a mass point at x = 0. We obtain the resulting orthogonal polynomials, identify them as hypergeometric functions and derive the second order di erence equation which these polynomials satisfy. The corresponding tridiagonal matrices and associated polynomials were also studied. |
|---|