SpheroidalQS

SpheroidalQS[n,m,γ,z]

gives the angular spheroidal function of the second kind.

Details

  • Mathematical function, suitable for both symbolic and numerical manipulation.
  • The angular spheroidal functions satisfy the differential equation with the spheroidal eigenvalue given by SpheroidalEigenvalue[n,m,γ].
  • SpheroidalQS[n,m,0,z] is equivalent to LegendreQ[n,m,z].
  • SpheroidalQS[n,m,a,γ,z] gives spheroidal functions of type . The types are specified as for LegendreP.
  • For certain special arguments, SpheroidalQS automatically evaluates to exact values.
  • SpheroidalQS can be evaluated to arbitrary numerical precision.
  • SpheroidalQS automatically threads over lists.

Examples

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Basic Examples  (3)

Evaluate numerically:

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Expansion about the spherical case:

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Plot :

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Scope  (5)

Generalizations & Extensions  (1)

Applications  (2)

Possible Issues  (1)

See Also

LegendreQ  SpheroidalPS

Tutorials

Introduced in 2007
(6.0)