WhittakerM

WhittakerM[k,m,z]

gives the Whittaker function .

Details

  • Mathematical function, suitable for both symbolic and numerical manipulation.
  • WhittakerM is related to the hypergeometric function by .
  • vanishes at for .
  • For certain special arguments, WhittakerM automatically evaluates to exact values.
  • WhittakerM can be evaluated to arbitrary numerical precision.
  • WhittakerM automatically threads over lists.
  • WhittakerM[k,m,z] has a branch cut discontinuity in the complex plane running from to .

Examples

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Basic Examples  (3)

Evaluate numerically:

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Plot :

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Use FunctionExpand to expand in terms of hypergeometric functions:

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Scope  (7)

Applications  (1)

Properties & Relations  (4)

See Also

WhittakerW  Hypergeometric1F1  HypergeometricU

Tutorials

Introduced in 2007
(6.0)