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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.

See Also

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