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airy

airy(k,x)

The kth derivative of the Airy function $\operatorname{Ai}(x)$.

Examples

1. Calculate the Airy function:

   julia> airy(0, 1.5)
   2.1290590586072155

   This example calculates the value of the Airy function Ai(x) at x = 1.5.

2. Calculate the first derivative of the Airy function:

   julia> airy(1, 2.0)
   -0.2329152793619041

   It calculates the first derivative of the Airy function Ai(x) at x = 2.0.

3. Calculate the second derivative of the Airy function:

   julia> airy(2, -0.5)
   -0.4388407182460585

   This example calculates the second derivative of the Airy function Ai(x) at x = -0.5.

4. Calculate higher-order derivatives of the Airy function:

   julia> airy(3, 0.1)
   -0.07121157052206455

   It calculates the third derivative of the Airy function Ai(x) at x = 0.1.

See Also

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