 |
BUILT-IN MATHEMATICA SYMBOL
SphericalHarmonicY
SphericalHarmonicY[l, m, 
, 
]
gives the spherical harmonic 
.
Details
- Mathematical function, suitable for both symbolic and numerical manipulation.
- The spherical harmonics are orthonormal with respect to integration over the surface of the unit sphere.
- For
, 
where 
is the associated Legendre function. - For
, 
. - For certain special arguments, SphericalHarmonicY automatically evaluates to exact values.
- SphericalHarmonicY can be evaluated to arbitrary numerical precision.
- SphericalHarmonicY automatically threads over lists.
New in 1
