BetaRegularized[z, a, b]
gives the regularized incomplete beta function .


  • 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.
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