Pearson equations for discrete orthogonal polynomials: III—Christoffel and Geronimus transformations
Contiguous hypergeometric relations for semiclassical discrete orthogonal polynomials are described as Christoffel and Geronimus transformations. Using the Christoffel–Geronimus– Uvarov formulas quasi-determinantal expressions for the shifted semiclassical discrete orthogonal polynomials are obtaine...
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2022 |
| País: | España |
| Institución: | Universidad Complutense de Madrid (UCM) |
| Repositorio: | Docta Complutense |
| Idioma: | inglés |
| OAI Identifier: | oai:docta.ucm.es:20.500.14352/71906 |
| Acceso en línea: | https://hdl.handle.net/20.500.14352/71906 |
| Access Level: | acceso abierto |
| Palabra clave: | 51-73 Discrete orthogonal polynomials Pearson equations Cholesky factorization Generalized hypergeometric functions Contigous relations Christoffel transformations Geronimus transformations Geronimus–Uvarov transformations Física-Modelos matemáticos Física matemática |
| Sumario: | Contiguous hypergeometric relations for semiclassical discrete orthogonal polynomials are described as Christoffel and Geronimus transformations. Using the Christoffel–Geronimus– Uvarov formulas quasi-determinantal expressions for the shifted semiclassical discrete orthogonal polynomials are obtained. |
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