DIFFERENTIAL EQUATIONS OF THE FOURTH ORDER WITH ORTHOGONAL POLYNOMIAL SOLUTIONS
In this paper we developed conditions for orthogonality of polynomial Solutions of the fourth order differential equations with polynomial coefficients. Also, we present the fourth order equations with Legendre polynomials, Laguerre polynomials and Hermite polynomials solutions.
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2004 |
| País: | Perú |
| Institución: | Universidad Nacional Mayor de San Marcos |
| Repositorio: | Revistas - Universidad Nacional Mayor de San Marcos |
| Idioma: | español |
| OAI Identifier: | oai:revistasinvestigacion.unmsm.edu.pe:article/9316 |
| Acceso en línea: | https://revistasinvestigacion.unmsm.edu.pe/index.php/matema/article/view/9316 |
| Access Level: | acceso abierto |
| Palabra clave: | E.D. O. de cuarto orden soluciones ortogonales polinomios de Legendre polinomios de Laguerre polinomios de Hermite. The fourth order O.D.E. orthogonal solutions Legendre polynomials Laguerre polynomial Hermite polynomials. |
| Sumario: | In this paper we developed conditions for orthogonality of polynomial Solutions of the fourth order differential equations with polynomial coefficients. Also, we present the fourth order equations with Legendre polynomials, Laguerre polynomials and Hermite polynomials solutions. |
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