# besselj0

besselj0(x)

Bessel function of the first kind of order 0, \$J_0(x)\$.

## Examples

The `besselj0(x)` function in Julia calculates the Bessel function of the first kind of order 0, denoted as \$J_0(x)\$.

``````julia> besselj0(2.5)
0.5984721441039564``````

Here are some common usage examples:

1. Calculate \$J_0(x)\$ for a scalar value:

``````julia> besselj0(3.2)
0.22389077914123563``````
2. Compute \$J_0(x)\$ for an array of values:

``````julia> x = [1.0, 2.0, 3.0, 4.0];
julia> besselj0(x)
4-element Array{Float64,1}:
0.7651976865579666
0.22389077914123563
0.043472746168861126
-0.11490348493190047``````
3. Evaluate \$J_0(x)\$ using a variable:

``````julia> x = 1.5;
julia> besselj0(x)
0.5118276717354465``````
4. Use \$J_0(x)\$ in mathematical expressions:
``````julia> x = 2.0;
julia> result = 2 * besselj0(x) + sin(x);
julia> result
0.09070257317431822``````

Common mistake example:

``````julia> besselj0("hello")
ERROR: MethodError: no method matching besselj0(::String)``````

In this example, the input argument is not a valid type for the `besselj0` function. Ensure that the input is a numeric value or an array of numeric values to avoid this error.