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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Autor: G.F. Torres del Castillo
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2013
País:México
Institución:Benemérita Universidad Autónoma de Puebla
Repositorio:Redalyc-BUAP
OAI Identifier:oai:redalyc.org:57027860010
Acceso en línea:https://www.redalyc.org/articulo.oa?id=57027860010
Access Level:acceso abierto
Palabra clave:Física, Astronomía y Matemáticas
wave equation
Laplace equation
Spherical harmonics
generating functions
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spelling A generating function for the spherical harmonics in p dimensions G.F. Torres del Castillo Física, Astronomía y Matemáticas wave equation Laplace equation Spherical harmonics generating functions 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. Sociedad Mexicana de Física A.C. 0035-001X https://www.redalyc.org/articulo.oa?id=57027860010
title A generating function for the spherical harmonics in p dimensions
spellingShingle A generating function for the spherical harmonics in p dimensions
G.F. Torres del Castillo
Física, Astronomía y Matemáticas
wave equation
Laplace equation
Spherical harmonics
generating functions
title_short A generating function for the spherical harmonics in p dimensions
title_full A generating function for the spherical harmonics in p dimensions
title_fullStr A generating function for the spherical harmonics in p dimensions
title_full_unstemmed A generating function for the spherical harmonics in p dimensions
title_sort A generating function for the spherical harmonics in p dimensions
author G.F. Torres del Castillo
author_facet G.F. Torres del Castillo
author_role author
topic Física, Astronomía y Matemáticas
wave equation
Laplace equation
Spherical harmonics
generating functions
topic_facet Física, Astronomía y Matemáticas
wave equation
Laplace equation
Spherical harmonics
generating functions
description 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.
publishDate 2013
format article
status_str publishedVersion
url https://www.redalyc.org/articulo.oa?id=57027860010
identifier_str_mv 0035-001X
eu_rights_str_mv openAccess
publisher Sociedad Mexicana de Física A.C.
institution BUAP
collection Redalyc-BUAP
reponame_str Redalyc-BUAP
instname_str Benemérita Universidad Autónoma de Puebla
_version_ 1878408950112583681
publishDateSort 2013
author_browse G.F. Torres del Castillo
publisherStr Sociedad Mexicana de Física A.C.
score 6,8972664