AiryAiPrime[z] \[Proportional] (-(1/(4 Sqrt[6 Pi] (-z^3)^(7/12)))) ((((-1 + Sqrt[3]) z^2 - (-1 + Sqrt[3]) z^(3/2) (-z^3)^(1/6) + (1 + Sqrt[3]) Sqrt[z] Sqrt[-z^3] + (1 + Sqrt[3]) (-z^3)^(2/3))/ E^((2 z^(3/2))/3) + E^((2 z^(3/2))/3) ((-1 + Sqrt[3]) z^2 + (-1 + Sqrt[3]) z^(3/2) (-z^3)^(1/6) - (1 + Sqrt[3]) Sqrt[z] Sqrt[-z^3] + (1 + Sqrt[3]) (-z^3)^(2/3))) (1 - 455/(4608 z^3) - 40415375/(127401984 z^6) - 6183948445675/(1761205026816 z^9) + O[1/z^12]) - (7/(48 (-z^3)^(1/2))) (((1 + Sqrt[3]) z^2 + (1 + Sqrt[3]) z^(3/2) (-z^3)^(1/6) + (1 - Sqrt[3]) Sqrt[z] Sqrt[-z^3] - (1 - Sqrt[3]) (-z^3)^(2/3))/ E^((2 z^(3/2))/3) + E^((2 z^(3/2))/3) ((1 + Sqrt[3]) z^2 - (1 + Sqrt[3]) z^(3/2) (-z^3)^(1/6) - (1 - Sqrt[3]) Sqrt[z] Sqrt[-z^3] - (1 - Sqrt[3]) (-z^3)^(2/3))) (1 + 13585/(13824 z^3) + 823318925/(127401984 z^6) + 189935559402875/(1761205026816 z^9) + O[1/z^12])) /; (Abs[z] -> Infinity)

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2007-05-02