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airy

Airy function Ai(z) or Bi(z) (and derivatives).

W = airy(Z)
W = airy(k, Z)
W = airy(k, Z, scale)

Returns one of the four Airy variants based on integer k:

  • k = 0 (default) — Ai(z)
  • k = 1 — Ai’(z) (derivative)
  • k = 2 — Bi(z)
  • k = 3 — Bi’(z)

With scale = 1, returns the scaled form to handle large arguments without overflow.

airy(0) % ≈ 0.3550
  • besselj — Bessel function of the first kind, J_n(x).