HypergeometricU

HypergeometricU[a,b,z]

is the confluent hypergeometric function .

Details

  • Mathematical function, suitable for both symbolic and numerical manipulation.
  • The function has the integral representation .
  • HypergeometricU[a,b,z] has a branch cut discontinuity in the complex plane running from to .
  • For certain special arguments, HypergeometricU automatically evaluates to exact values.
  • HypergeometricU can be evaluated to arbitrary numerical precision.
  • HypergeometricU automatically threads over lists.

Examples

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Basic Examples  (3)

Evaluate numerically:

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Plot :

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Series expansion at the origin:

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Scope  (6)

Generalizations & Extensions  (1)

Applications  (2)

Properties & Relations  (5)

Possible Issues  (1)

Neat Examples  (1)

See Also

Hypergeometric1F1  Hypergeometric0F1  WhittakerW  ParabolicCylinderD

Tutorials

Introduced in 1988
(1.0)