On the Krall-type discrete polynomials
In this paper we present a unified theory for studying the so called Kralltype discrete orthogonal polynomials. In particular, the three-term recurrence relation, lowering and raising operators as well as the second order linear difference equation that the sequences of monic orthogonal polynomials...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Estado: | Versión enviada para evaluación y publicación |
| Fecha de publicación: | 2004 |
| País: | España |
| Institución: | Universidad de Sevilla (US) |
| Repositorio: | idUS. Depósito de Investigación de la Universidad de Sevilla |
| OAI Identifier: | oai:idus.us.es:11441/41748 |
| Acceso en línea: | http://hdl.handle.net/11441/41748 https://doi.org/10.1016/j.jmaa.2004.02.042 |
| Access Level: | acceso abierto |
| Palabra clave: | quasi-definite linear functionals classical discrete polynomials q-polynomials Krall-type polynomials orthogonal polynomials addition of delta Dirac masses |
| Sumario: | In this paper we present a unified theory for studying the so called Kralltype discrete orthogonal polynomials. In particular, the three-term recurrence relation, lowering and raising operators as well as the second order linear difference equation that the sequences of monic orthogonal polynomials satisfy are established. Some relevant examples of q-Krall polynomials are considered in detail. |
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