ParabolicCylinderD

ParabolicCylinderD[ν,z]

gives the parabolic cylinder function .

Details

  • Mathematical function, suitable for both symbolic and numerical manipulation.
  • satisfies the Weber differential equation .
  • For certain special arguments, ParabolicCylinderD automatically evaluates to exact values.
  • ParabolicCylinderD can be evaluated to arbitrary numerical precision.
  • ParabolicCylinderD automatically threads over lists.
  • ParabolicCylinderD[ν,z] is an entire function of z with no branch cut discontinuities.

Examples

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Basic Examples  (3)

Evaluate numerically:

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Plot :

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Scope  (6)

Generalizations & Extensions  (2)

Applications  (1)

Properties & Relations  (5)

See Also

WhittakerW  HypergeometricU  Hypergeometric1F1  HermiteH

Tutorials

Introduced in 2007
(6.0)