Gamma Function (Gamma Function) (G Dataflow)

Version:

Evaluates the gamma function.

x

The real input of the gamma function.

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

g(x)

The result of the gamma function for the given value of x.

error out

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

Algorithm for Evaluating the Gamma Function

The following equation defines the gamma function.

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

The following intervals for the input values define the function.

$\text{\hspace{0.17em}}x\in \Re \\left\{0,-1,-2,...\right\}$

The gamma function is related to the factorial function by the identity gamma(n + 1) = n! for integer n.

Where This Node Can Run:

Desktop OS: Windows

FPGA: Not supported