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Module airy

Module airy 

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Airy functions Ai(x) and Bi(x) via their Maclaurin series. Accurate for moderate |x| (the series converge for all x but lose digits for large argument).

Ai = α·f − β·g, Bi = √3·(α·f + β·g), where α = Ai(0) = 3^{-2/3}/Γ(2/3), β = −Ai'(0) = 3^{-1/3}/Γ(1/3), and f, g are the two hypergeometric series.

Functions§

airy_ai
Airy function of the first kind Ai(x).
airy_bi
Airy function of the second kind Bi(x).