Gamma Function (Incomplete Gamma Function) (G Dataflow)

Evaluates the regularized incomplete gamma function.

x

The real input of the incomplete gamma function. x must be nonnegative.

Default: 0

a

The upper limit of the regularized incomplete gamma function.

Default: Positive infinity

error in

Error conditions that occur before this node runs.

The node responds to this input according to standard error behavior.

Standard Error Behavior

Many nodes provide an error in input and an error out output so that the node can respond to and communicate errors that occur while code is running. The value of error in specifies whether an error occurred before the node runs. Most nodes respond to values of error in in a standard, predictable way.

error in does not contain an error error in contains an error
If no error occurred before the node runs, the node begins execution normally.

If no error occurs while the node runs, it returns no error. If an error does occur while the node runs, it returns that error information as error out.

If an error occurred before the node runs, the node does not execute. Instead, it returns the error in value as error out.

Default: No error

g(x, a)

The result of the regularized incomplete gamma function for the given values of x and a.

error out

Error information.

The node produces this output according to standard error behavior.

Standard Error Behavior

Many nodes provide an error in input and an error out output so that the node can respond to and communicate errors that occur while code is running. The value of error in specifies whether an error occurred before the node runs. Most nodes respond to values of error in in a standard, predictable way.

error in does not contain an error error in contains an error
If no error occurred before the node runs, the node begins execution normally.

If no error occurs while the node runs, it returns no error. If an error does occur while the node runs, it returns that error information as error out.

If an error occurred before the node runs, the node does not execute. Instead, it returns the error in value as error out.

Algorithm for Evaluating the Regularized Incomplete Gamma Function

The following equation defines the regularized incomplete gamma function.

$\mathrm{\Gamma }\left(x,a\right)=\frac{1}{\mathrm{\Gamma }\left(x\right)}{\int }_{0}^{a}{t}^{x-1}{e}^{-t}dt$

The following intervals for the input values define the function.

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

The following illustration shows the regularized incomplete gamma functions with a = 1, 2, 3, and 4 from top to bottom.

Where This Node Can Run:

Desktop OS: Windows

FPGA: This product does not support FPGA devices

Web Server: Not supported in VIs that run in a web application