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On polynomial solutions of certain finite order ordinary differential equations
Cita
Anguas Márquez, Luis Miguel and Barrios Rolanía, Maria Dolores 
ORCID: https://orcid.org/0000-0002-4060-965X
(2024).
On polynomial solutions of certain finite order ordinary differential equations.
"Linear Algebra and its Applications"
;
ISSN 0024-3795.
https://doi.org/10.1016/j.laa.2024.01.022.
ORCID: https://orcid.org/0000-0002-4060-965X
(2024).
On polynomial solutions of certain finite order ordinary differential equations.
"Linear Algebra and its Applications"
;
ISSN 0024-3795.
https://doi.org/10.1016/j.laa.2024.01.022.
Descripción
| Título: | On polynomial solutions of certain finite order ordinary differential equations |
|---|---|
| Autor/es: |
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| Tipo de Documento: | Artículo |
| Título de Revista/Publicación: | Linear Algebra and its Applications |
| Fecha: | 5 Febrero 2024 |
| ISSN: | 0024-3795 |
| Materias: | |
| ODS: | |
| Escuela: | E.T.S.I. Industriales (UPM) |
| Departamento: | Matemática Aplicada a la Ingeniería Industrial |
| Licencias Creative Commons: | Reconocimiento - No comercial |
Resumen
Given a finite order differential operator, some properties and relations satisfied by its polynomial eigenfunctions are studied. Under certain restrictions, such eigenfunctions are explicitly obtained, as well as the corresponding eigenvalues. Also, some linear transformations are applied to sequences of eigenfunctions and a necessary condition for this to be a sequence of eigenfunctions of a new differential operator is obtained. These results are applied to the particular case of classical Hermite polynomials.
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Gobierno de España
PID2021-122154NB-I00
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Gobierno de España
PID2019-106362GB-I00
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Más información
| ID de Registro: | 82462 |
|---|---|
| Identificador DC: | https://oa.upm.es/82462/ |
| Identificador OAI: | oai:oa.upm.es:82462 |
| URL Portal Científico: | https://portalcientifico.upm.es/es/ipublic/item/10380982 |
| Identificador DOI: | 10.1016/j.laa.2024.01.022 |
| URL Oficial: | https://www.sciencedirect.com/science/article/pii/... |
| Depositado por: | María Dolores Barrios Rolanía |
| Depositado el: | 28 Jun 2024 10:40 |
| Ultima Modificación: | 15 Oct 2025 01:01 |
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