Evaluates the beta function and regularized incomplete beta function. You must manually select the polymorphic instance you want to use.


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Inputs/Outputs

  • cdbl.png x —

    x is the first argument of the beta function. x must be nonnegative.

  • cdbl.png y —

    y is the second argument of the beta function. y must be nonnegative.

  • cdbl.png a —

    a is the upper limit of the regularized incomplete beta integral and is a real number between 0 and 1. The default value is 1.

  • idbl.png b(x, y, a) —

    b(x, y, a) is the result of the regularized incomplete beta function for the given values of x, y, and a.

    • Beta Function

    The following equation defines the beta function.

    The following intervals for the input values define the function.

    Incomplete Beta Function

    The following equation defines the regularized incomplete beta function.

    The following intervals for the input values define the function.

    For any real nonnegative value of upper limit a ≤ 1, the function is defined for all real nonnegative values of x and y.