AiryBi[z] \[Proportional] ((-1)^(1/4)/((-z^3)^(5/12) (4 Sqrt[Pi]))) ((((I + Sqrt[3]) z + (-I + Sqrt[3]) (-z^3)^(1/3))/E^((2/3) I Sqrt[-z^3]) + I E^((2/3) I Sqrt[-z^3]) ((-(-I + Sqrt[3])) z - (I + Sqrt[3]) (-z^3)^(1/3))) (Sum[((Pochhammer[1/12, k] Pochhammer[5/12, k] Pochhammer[7/12, k] Pochhammer[11/12, k])/(k! Pochhammer[1/2, k])) (9/(4 z^3))^k, {k, 0, n}] + O[1/z^(3 n + 3)]) + (5/(48 Sqrt[-z^3])) ((I ((I + Sqrt[3]) z + (-I + Sqrt[3]) (-z^3)^(1/3)))/ E^((2/3) I Sqrt[-z^3]) - E^((2/3) I Sqrt[-z^3]) ((-I + Sqrt[3]) z + (I + Sqrt[3]) (-z^3)^(1/3))) (Sum[((Pochhammer[7/12, k] Pochhammer[11/12, k] Pochhammer[13/12, k] Pochhammer[17/12, k])/(k! Pochhammer[3/2, k])) (9/(4 z^3))^k, {k, 0, n}] + O[1/z^(3 n + 3)])) /; (Abs[z] -> Infinity) && Element[n, Integers] && n >= 0

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2007-05-02