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Kelvin Functions ke (G Dataflow)

Version:
    Last Modified: January 9, 2017

    Computes the complex Kelvin function of the second kind.

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    x

    The input argument.

    Default: 0

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    n

    Order of the Kelvin 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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    ker(x) + kei(x)i

    Complex value of the Kelvin function of the second kind.

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    error out

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

    Algorithm for Computing the Complex Kelvin Function of the Second Kind

    The complex-valued Kelvin function of the second kind of order v is a solution of the following complex-valued differential equation.

    x 2 d 4 w d x 4 + x d w d x ( i x 2 + v 2 ) w = 0

    The real and imaginary parts of the Kelvin function of the second kind of order v are solutions of the following differential equation.

    x 4 d 4 w d x 4 + 2 x 3 d 3 w d x 3 ( 1 + 2 v 2 ) ( x 2 d 2 w d x 2 x d w d x ) + ( v 4 4 v 2 + x 4 ) w = 0

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

    n , x ( 0 , )

    For any integer value of order n, the function is defined for positive real values of x.

    Where This Node Can Run:

    Desktop OS: Windows

    FPGA: Not supported


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