Digital Library of Mathematical Functions
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9 Airy and Related FunctionsApplications

§9.15 Mathematical Applications

Airy functions play an indispensable role in the construction of uniform asymptotic expansions for contour integrals with coalescing saddle points, and for solutions of linear second-order ordinary differential equations with a simple turning point. For descriptions of, and references to, the underlying theory see §§2.4(v) and 2.8(iii).