File: ai.py

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# Airy function Ai(x), Ai'(x) and int_0^x Ai(t) dt on the real line
f = airyai
f_diff = lambda z: airyai(z, derivative=1)
f_int = lambda z: airyai(z, derivative=-1)
plot([f, f_diff, f_int], [-10,5])