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SphericalHarmonicY

  • SphericalHarmonicY[ l , m ,,] gives the spherical harmonic .
  • Mathematical function (see Section A.3.10).
  • The spherical harmonics are orthogonal with respect to integration over the surface of the unit sphere.
  • For , where is the associated Legendre function.
  • For , .
  • See the Mathematica book: Section 3.2.9.
  • See also: LegendreP, ClebschGordan.

    Further Examples

    A special value.

    In[1]:=

    Out[1]=

    These are the partial derivatives.

    In[2]:=

    Out[2]=

    In[3]:=

    Out[3]=