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Gauss Function (G Dataflow)

Version:
    Last Modified: January 9, 2017

    Computes the Gauss hypergeometric function according to a specific input argument and parameters.

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    x

    The input argument.

    Default: 0

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    a

    The first parameter of the Gauss hypergeometric function.

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    b

    The second parameter of the Gauss hypergeometric function.

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    c

    The third parameter of the Gauss hypergeometric function.

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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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    F(x, a, b, c)

    Value of the Gauss hypergeometric function.

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    error out

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

    Algorithm for Computing the Gauss Function

    The Gauss hypergeometric function F(x, a, b, c) is a solution of the following differential equation:

    x ( 1 x ) d 2 w d x 2 + [ c ( a + b + 1 ) x ] d w d x a b w = 0

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

    a , b , c , x ( , 1 )
    ( c > a + b ) x ( , 1 ]

    This node supports the entire domain of this function that produces real-valued results. For any real value of a, b, and c, the function is defined for real values of x < 1. For real values of a, b, and c, such that c > a + b, the domain of x is extended to include 1.

    Where This Node Can Run:

    Desktop OS: Windows

    FPGA: Not supported


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