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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.

See Also

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