# Beta Function (Beta Function) (G Dataflow)

Version:

Evaluates the beta function.

## x

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

Default: 0

## y

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

Default: 0

## error in

Error conditions that occur before this node runs. The node responds to this input according to standard error behavior.

Default: No error

## b(x, y)

The result of the beta function for the given values of x and y.

## error out

Error information. The node produces this output according to standard error behavior.

## Algorithm for Evaluating the Beta Function

The following equation defines the beta function.

$\beta \left(x,y\right)={\int }_{0}^{1}{t}^{x-1}{\left(1-t\right)}^{y-1}dt$

The following intervals for the input values define the function.

$\text{\hspace{0.17em}}x,y\in \left[0,\infty \right)$

Where This Node Can Run:

Desktop OS: Windows

FPGA: Not supported