SpheroidalEigenvalue

SpheroidalEigenvalue[n,m,γ]

gives the spheroidal eigenvalue with degree and order .

Details

  • Mathematical function, suitable for both symbolic and numerical manipulation.
  • The spheroidal eigenvalues for successive correspond to the successive values of for which there exist normalizable solutions to the differential equation .
  • SpheroidalEigenvalue[n,m,0]is equal to .
  • For certain special arguments, SpheroidalEigenvalue automatically evaluates to exact values.
  • SpheroidalEigenvalue can be evaluated to arbitrary numerical precision.
  • SpheroidalEigenvalue automatically threads over lists.

Examples

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Basic Examples  (2)

Evaluate numerically:

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Series expansion in the spherical limit:

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Scope  (6)

Applications  (2)

Possible Issues  (1)

See Also

SpheroidalS1  SpheroidalS2  SpheroidalPS  SpheroidalQS  MathieuCharacteristicA

Tutorials

Introduced in 2007
(6.0)