Beta

Beta[a,b]

gives the Euler beta function .

Beta[z,a,b]

gives the incomplete beta function .

Details

  • Beta is a mathematical function, suitable for both symbolic and numerical manipulation.
  • .
  • .
  • Beta[z,a,b] has a branch cut discontinuity in the complex plane running from to .
  • Beta[z0,z1,a,b] gives the generalized incomplete beta function .
  • Note that the arguments in the incomplete form of Beta are arranged differently from those in the incomplete form of Gamma.
  • For certain special arguments, Beta automatically evaluates to exact values.
  • Beta can be evaluated to arbitrary numerical precision.
  • Beta automatically threads over lists.
  • In TraditionalForm, Beta is output using \[CapitalBeta].

Examples

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Basic Examples  (2)

Exact values:

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Evaluate numerically:

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Scope  (6)

Generalizations & Extensions  (10)

Applications  (4)

Properties & Relations  (10)

Possible Issues  (4)

Neat Examples  (2)

See Also

BetaRegularized  InverseBetaRegularized  Gamma  Pochhammer  Multinomial

Tutorials

Introduced in 1988
(1.0)
| Updated in 1996
(3.0)