SphericalHarmonicY

SphericalHarmonicY[l,m,θ,ϕ]

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.

Examples

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Basic Examples  (1)

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Scope  (5)

Generalizations & Extensions  (1)

Applications  (1)

Properties & Relations  (1)

See Also

LegendreP  ClebschGordan  SphericalBesselJ  ZernikeR

Tutorials

Introduced in 1988
(1.0)