Geodesic
On the asymptotic expansion of Airy's Integral
Glasgow mathematical journal, Tome 6 (1963) no. 2, pp. 113-115

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The integral functionis known as Airy's Integral since, when z is real, it is equal to the integralwhich first arose in Airy's researches on optics. It is readily seen that w= Ai(z) satisfies the differential equation d2w/dz2 = zw, an equation which also has solutions Ai(ωz), Ai(ω2z), where ω is the complex cube root of unity, exp 2/3πi. The three solutions are connected by the relation. 
Copson, E. T. On the asymptotic expansion of Airy's Integral. Glasgow mathematical journal, Tome 6 (1963) no. 2, pp. 113-115. doi: 10.1017/S2040618500034821
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