Hypergeometric1F1

Hypergeometric1F1[a,b,z]

is the Kummer confluent hypergeometric function .

Details

  • Mathematical function, suitable for both symbolic and numerical manipulation.
  • The function has the series expansion .
  • For certain special arguments, Hypergeometric1F1 automatically evaluates to exact values.
  • Hypergeometric1F1 can be evaluated to arbitrary numerical precision.
  • Hypergeometric1F1 automatically threads over lists.

Examples

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Basic Examples  (3)

Evaluate numerically:

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Plot :

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Series at the origin:

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Scope  (6)

Generalizations & Extensions  (2)

Applications  (2)

Properties & Relations  (4)

See Also

HypergeometricU  Hypergeometric2F1  HypergeometricPFQ  Hypergeometric1F1Regularized  WhittakerM  Pochhammer  Gamma  GammaRegularized  ExpIntegralE

Tutorials

Introduced in 1988
(1.0)