A generating function for the spherical harmonics in p dimensions
A generating function for the spherical harmonics in three or more dimensions is given. This function allows us to find in a simple manner the explicit expressions for the spherical harmonics in three dimensions. The generating functions for the spherical harmonics given here are analogous to certai...
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| Formato: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2013 |
| País: | México |
| Recursos: | Benemérita Universidad Autónoma de Puebla |
| Repositorio: | Redalyc-BUAP |
| OAI Identifier: | oai:redalyc.org:57027860010 |
| Acesso em linha: | https://www.redalyc.org/articulo.oa?id=57027860010 |
| Access Level: | acceso abierto |
| Palavra-chave: | Física, Astronomía y Matemáticas wave equation Laplace equation Spherical harmonics generating functions |
| Resumo: | A generating function for the spherical harmonics in three or more dimensions is given. This function allows us to find in a simple manner the explicit expressions for the spherical harmonics in three dimensions. The generating functions for the spherical harmonics given here are analogous to certain well-known generating functions for solutions of the wave equation. |
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