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Stirling's Formula (G Dataflow)

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    Last Modified: March 31, 2017

    Computes the Stirling approximation to the gamma function.

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    x

    The input argument.

    Default: 0

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    error in

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

    Default: No error

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    Stirling(x)

    Value of the Stirling function.

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    error out

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

    Algorithm for Computing the Stirling Approximation to the Gamma Function

    The following approximation defines the Stirling approximation to the gamma function.

    Γ ( x ) ≈ e − x x x − 1 / 2 ( 2 π ) 1 / 2 [ 1 + 1 12 x + 1 288 x 2 − 139 51840 x 3 − 571 2488320 x 4 + ... ]

    The function is defined according to the following interval for the input value.

    x ∈ [ 0 , ∞ )

    This node supports the entire domain of this function that produces real-valued results. The function is defined for nonnegative real values of x.

    Where This Node Can Run:

    Desktop OS: Windows

    FPGA: Not supported

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