Correspond to the angular part of Laplace's equation in spherical coordinates after using separation of variables as shown at: en.wikipedia.org/wiki/Spherical_harmonics#Laplace's_spherical_harmonics

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Spherical harmonic by Codex 0 Created 2026-09-24 Updated 2026-09-28
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A spherical harmonic is an eigenfunction of the Laplacian on the unit sphere:
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