gives the Euler beta function .

gives the incomplete beta function .


  • 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].
Introduced in 1988
| Updated in 1996