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Complementary Incomplete Gamma Function (G Dataflow)

Version:
    Last Modified: March 31, 2017

    Computes the regularized complementary incomplete gamma function.

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    x

    The input argument.

    Default: 0

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    a

    The lower limit of the regularized complementary incomplete gamma integral.

    Default: Positive infinity

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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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    1 - g(x, a)

    Value of the regularized complementary incomplete gamma function.

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    error out

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

    Algorithm for Computing the Regularized Complementary Incomplete Gamma Function

    The following equation defines the complement of the regularized incomplete gamma function.

    Γ c ( x , a ) = 1 Γ ( x ) a t x 1 e t d t

    The complement of the regularized incomplete gamma function is related to the regularized incomplete gamma function by the following identity.

    Γ ( x , a ) + Γ c ( x , a ) = 1

    The regularized incomplete gamma function is defined according to the following intervals for the input values.

    x [ 0 , ) , a ( 0 , )

    For any positive real value of lower limit a, the regularized incomplete gamma function is defined for nonnegative real values of x.

    Where This Node Can Run:

    Desktop OS: Windows

    FPGA: Not supported


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