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

How to Cite

[1]
G. Torres del Castillo, A generating function for the spherical harmonics in $p$ dimensions, Rev. Mex. Fís. 59, (2013).

Issue

Vol. 59 No. 3 (2013): Revista Mexicana de Física.

Section

Articles

License

Authors retain copyright and grant the Revista Mexicana de Física right of first publication with the work simultaneously licensed under a CC BY-NC-ND 4.0 that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.

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