DLMF:9.7.E7 (Q2814)

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DLMF:9.7.E7
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    Statements

    Defining formula
    Bi ⁡ ( z ) ∼ e ζ π ⁢ z 1 / 4 ⁢ ∑ k = 0 ∞ u k ζ k , asymptotic-expansion Airy-Bi 𝑧 superscript 𝑒 𝜁 𝜋 superscript 𝑧 1 4 superscript subscript 𝑘 0 subscript 𝑢 𝑘 superscript 𝜁 𝑘 {\displaystyle{\displaystyle\mathrm{Bi}\left(z\right)\sim\frac{e^{\zeta}}{% \sqrt{\pi}z^{1/4}}\sum_{k=0}^{\infty}\frac{u_{k}}{\zeta^{k}},}}
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    DLMF id
    DLMF:9.7.E7
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    constraint
    | ph ⁡ z | ≤ 1 3 ⁢ π - δ phase 𝑧 1 3 𝜋 𝛿 {\displaystyle{\displaystyle|\operatorname{ph}z|\leq\tfrac{1}{3}\pi-\delta}}
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