# bessely0

bessely0(x)

Bessel function of the second kind of order 0, \$Y_0(x)\$.

## Examples

The `bessely0(x)` function in Julia computes the Bessel function of the second kind of order 0, denoted as \$Y_0(x)\$.

``````julia> bessely0(2.0)
0.5103756726497459``````

Here are some common examples of its use:

1. Calculate Bessel function for a single value:

``````julia> bessely0(1.5)
-0.7812128213002887``````
2. Evaluate Bessel function for an array of values:

``````julia> x = [1.0, 2.0, 3.0, 4.0];
julia> bessely0.(x)
4-element Array{Float64,1}:
-0.7812128213002887
0.5103756726497459
0.44628710262841905
-0.01694074770061143``````
3. Handle large input values:
``````julia> bessely0(10^6)
-0.0001416936637117022``````

Common mistake example:

``````julia> bessely0(-1)
ERROR: DomainError:``````

In this example, a `DomainError` is raised because the Bessel function of the second kind is not defined for negative values of `x`. Make sure to provide valid inputs within the domain of the function to avoid such errors.