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We appreciate your patience as we improve our online experience.

Version:

Last Modified: January 9, 2017

Computes the complex Kelvin function of the first kind.

The input argument.

**Default: **0

Order of the Kelvin function.

Error conditions that occur before this node runs. The node responds to this input according to standard error behavior.

**Default: **No error

Complex value of the 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.

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

${x}^{4}\frac{{d}^{4}w}{d{x}^{4}}+2{x}^{3}\frac{{d}^{3}w}{d{x}^{3}}-(1+2{v}^{2})({x}^{2}\frac{{d}^{2}w}{d{x}^{2}}-x\frac{dw}{dx})+({v}^{4}-4{v}^{2}+{x}^{4})w=0$

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

$n\in \Im ,(x\in \Re )$

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