Bessel_k_nu_scaled

Definition:

\(k\_nu\_scaled = bessel\_k\_nu\_scaled(x,nu)\) evaluates an approximation to the modified Bessel function of the second kind \(e^{-x}K_{\upsilon /4}(x)\), where the order \(\nu\) = -3, -2, -1, 1, 2 or 3 and x is real and positive. For negative orders the formula

     \[K_{-\upsilon /4}(x)=K_{\upsilon /4}(x)\]

is used.

For more information please review the s18edc function in the NAG document.

Parameters:

x (input, double)

The argument x of the function.

Constraints:

     x>0.0.

\(nu\) (input, int)

The argument \(\nu\) of the function.

Constraints:

     \[1\leq abs(nu)\leq 3\]

\(k\_nu\_scaled\) (output, double)

Approximation of the modified Bessel function of the second kind.