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variants of this functions
SphericalHarmonicY






Mathematica Notation

Traditional Notation









Hypergeometric Functions >SphericalHarmonicY[lambda,mu,theta,phi]





Theorems

Eigenfunction to the angular part of the Laplace operator in spherical coordinates

Eigenfunction of the z component of the quantum mechanical angular momentum operator

Eigenfunctions of the curl operator in spherical coordinates

Multiple expansion theorem