BetaRegularized

BetaRegularized[z,a,b]

gives the regularized incomplete beta function .

Details

  • Mathematical function, suitable for both symbolic and numerical manipulation.
  • For nonsingular cases, .
  • BetaRegularized[z0,z1,a,b] gives the generalized regularized incomplete beta function defined in nonsingular cases as Beta[z0,z1,a,b]/Beta[a,b].
  • Note that the arguments in BetaRegularized are arranged differently from those in GammaRegularized.
  • For certain special arguments, BetaRegularized automatically evaluates to exact values.
  • BetaRegularized can be evaluated to arbitrary numerical precision.
  • BetaRegularized automatically threads over lists.

Examples

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Basic Examples  (2)

Evaluate numerically:

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Scope  (5)

Generalizations & Extensions  (8)

Applications  (3)

Properties & Relations  (3)

Possible Issues  (3)

See Also

Beta  InverseBetaRegularized

Tutorials

Introduced in 1991
(2.0)