Mathematica 9 is now available
 Documentation / Mathematica / Built-in Functions / Mathematical Functions / Orthogonal Polynomials  /
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]=



    Any questions about topics on this page? Click here to get an individual response.Buy NowMore Information
    THIS IS DOCUMENTATION FOR AN OBSOLETE PRODUCT.
    SEE THE DOCUMENTATION CENTER FOR THE LATEST INFORMATION.