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Kelvin Functions ke (Not in Base Package)

Computes the complex Kelvin function of the second kind. Details  

x is the input argument.
n specifies the order of the Kelvin function.
ker(x) + kei(x)i returns the complex value of the Kelvin function of the second kind.

Kelvin Functions ke Details

The complex-valued Kelvin function of the second 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.

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

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


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