Second order difference equations for certain families of discrete polynomials

In this paper we will consider two algorithms which allow us to obtain second order linear di erence equations for certain families of polynomials. The corresponding algorithms can be implemented in any computer algebra system in order to obtain explicit expressions of the coe cients of the di erenc...

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Detalles Bibliográficos
Autor: Álvarez Nodarse, Renato
Tipo de recurso: artículo
Estado:Versión enviada para evaluación y publicación
Fecha de publicación:1998
País:España
Institución:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/43018
Acceso en línea:http://hdl.handle.net/11441/43018
https://doi.org/10.1016/S0377-0427(98)00143-5
Access Level:acceso abierto
Palabra clave:orthogonal polynomials
second order difference equations
Descripción
Sumario:In this paper we will consider two algorithms which allow us to obtain second order linear di erence equations for certain families of polynomials. The corresponding algorithms can be implemented in any computer algebra system in order to obtain explicit expressions of the coe cients of the di erence equations.