# besselj1

besselj1(x)

Bessel function of the first kind of order 1, \$J_1(x)\$.

## Examples

In the Julia programming language, the function `besselj1(x)` computes the Bessel function of the first kind of order 1, denoted as \$J_1(x)\$.

``````julia> besselj1(2.5)
0.5944807685248221``````

Here are some common examples of how to use the `besselj1` function:

1. Compute Bessel function for a scalar value:

``````julia> besselj1(3.7)
0.21676989329525788``````

This example calculates the value of \$J_1(3.7)\$.

2. Evaluate Bessel function for an array of values:

``````julia> x = [2.0, 4.0, 6.0, 8.0];
julia> besselj1(x)
4-element Array{Float64,1}:
0.5767248077568734
0.21334396569160553
-0.2446574707435046
-0.1892006238269828``````

In this example, the `besselj1` function is applied element-wise to the array `x`, resulting in an array of corresponding \$J_1\$ values.

3. Handle large input values:

``````julia> besselj1(10^6)
-0.017017186641884507``````

The `besselj1` function can handle large input values without issues.

Please note that the output values provided in the examples are rounded for brevity.

No common mistakes specific to the `besselj1` function were identified.

## See Also

besselh, besseli, besselix, besselj, besselj0, besselj1, besseljx, besselk, besselkx, bessely, bessely0, bessely1, besselyx, hankelh1, hankelh1x, hankelh2, hankelh2x,

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