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Revista mexicana de física
versión impresa ISSN 0035-001X
Resumen
TORRES DEL CASTILLO, G.F.. A generating function for the spherical harmonics in p dimensions. Rev. mex. fis. [online]. 2013, vol.59, n.3, pp.248-253. ISSN 0035-001X.
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.
Palabras llave : Spherical harmonics; generating functions; Laplace equation; wave equation.