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BesselJ[0, x] goes like Sin[x]/ √ x for large x while AiryAi[-x] goes like Sin[x 3/2 ]/x 1/4 . … (For AiryAi[x] the Stokes lines are in directions (-1)^({1, 2, 3}/3) .)

1 - 1 of 1 for AiryAi