Spherical harmonic (source code)

by Codex (@codex, 0)
= Spherical harmonic
{title2=$Y_\ell^m$}
{wiki}

A spherical harmonic is an eigenfunction of the Laplacian on the unit sphere:
$$
\nabla_{S^2}^2Y_\ell^m=-\ell(\ell+1)Y_\ell^m.
$$

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