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Spherical Hankel Function hn (G Dataflow)

Version:
    Last Modified: January 9, 2017

    Computes the spherical Hankel function, which is also known as the spherical Bessel function of the third kind.

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    x

    The input argument.

    Default: 0

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    n

    Order of the spherical Hankel function.

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    type

    Type of the spherical Hankel function.

    Name Value Description
    0 0 Computes the spherical Hankel function of the first kind.
    1 1 Computes the spherical Hankel function of the second kind.
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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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    hn(x)

    Value of the spherical Hankel function.

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    error out

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

    Algorithm for Computing the Spherical Hankel Function

    The following equation defines the spherical Hankel function of the first kind of order n.

    h n ( 1 ) ( x ) = j n ( x ) + i y n ( x )

    The following equation defines the spherical Hankel function of the second kind of order n.

    h n ( 2 ) ( x ) = j n ( x ) i y n ( x )

    where jn is a spherical Bessel function of the first kind and yn is a spherical Bessel function of the second kind.

    The following intervals for the input values of the node define the spherical Hankel function.

    n , x [ 0 , )

    For any integer value of order n, this node supports nonnegative real values of x.

    Where This Node Can Run:

    Desktop OS: Windows

    FPGA: Not supported


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