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  # Kelvin Functions be (G Dataflow)
  
  Version:
  
  Computes the complex Kelvin function of the first kind.
  
  ## x
  
  The input argument.
  
  Default: 0
  
  ## n
  
  Order of the Kelvin function.
  
  ## error in
  
  Error conditions that occur before this node runs. The node responds to this input according to standard error behavior.
  
  Default: No error
  
  ## ber(x) + bei(x)i
  
  Complex value of the Kelvin function of the first kind.
  
  ## error out
  
  Error information. The node produces this output according to standard error behavior.
  
  ## Algorithm for Computing the Complex Kelvin Function of the First Kind
  
  The complex-valued Kelvin function of the first kind of order v is a solution of the following complex-valued differential equation.
  
  ${x}^{2}\frac{{d}^{4}w}{d{x}^{4}}+x\frac{dw}{dx}-\left(i{x}^{2}+{v}^{2}\right)w=0$
  
  The real and imaginary parts of the Kelvin function of the first kind of order v are solutions of the following differential equation.
  
  ${x}^{4}\frac{{d}^{4}w}{d{x}^{4}}+2{x}^{3}\frac{{d}^{3}w}{d{x}^{3}}-\left(1+2{v}^{2}\right)\left({x}^{2}\frac{{d}^{2}w}{d{x}^{2}}-x\frac{dw}{dx}\right)+\left({v}^{4}-4{v}^{2}+{x}^{4}\right)w=0$
  
  The function is defined according to the following intervals for the input values.
  
  $n\in \Im ,\left(x\in \Re \right)$
  
  For any integer value of order n, the function is defined for all real values of x.
  
  Where This Node Can Run:
  
  Desktop OS: Windows
  
  FPGA: Not supported