A generating function for the spherical harmonics in $p$ dimensions

Authors

  • G.F. Torres del Castillo

Keywords:

Spherical harmonics, generating functions, Laplace equation, wave equation

Abstract

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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Published

2013-01-01

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