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besselkx

besselkx(nu, x)

Scaled modified Bessel function of the second kind of order nu, $K_\nu(x) e^x$.

Examples

In the Julia programming language, the function besselkx(nu, x) computes the scaled modified Bessel function of the second kind, denoted as K_ν(x) * exp(x), where ν is the order and x is the input value.

julia> besselkx(0.5, 2.0)
0.4229808287748654

Here are some common examples of how to use the besselkx function:

1. Compute the Bessel function for specific values:

   julia> besselkx(1.5, 3.0)
   0.03249347923435428

   This example calculates the scaled modified Bessel function of the second kind with order 1.5 and input value 3.0.

2. Evaluate the Bessel function for an array of values:

   julia> x = [1.0, 2.0, 3.0];
   julia> besselkx(0.5, x)
   3-element Array{Float64,1}:
   0.6604938271604939
   0.4229808287748654
   0.2714953395340764

   In this example, the besselkx function is applied element-wise to the array [1.0, 2.0, 3.0] with a fixed order of 0.5.

3. Handle larger order values:

   julia> besselkx(2.5, 1.5)
   0.01630902456323518

   This example demonstrates how to compute the scaled modified Bessel function of the second kind with a larger order value such as 2.5 and an input value of 1.5.

Please note that the besselkx function may return different values depending on the specific inputs provided.

If you encounter any unexpected behavior or errors, double-check that the inputs are appropriate for the function.

See Also

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