DLMF:9.12.E21 (Q2949)

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DLMF:9.12.E21
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    Defining formula
    Gi ⁡ ( z ) = - 1 π ⁢ ∫ 0 ∞ exp ⁡ ( - 1 3 ⁢ t 3 - 1 2 ⁢ z ⁢ t ) ⁢ cos ⁡ ( 1 2 ⁢ 3 ⁢ z ⁢ t + 2 3 ⁢ π ) ⁢ d t . Scorer-Gi 𝑧 1 𝜋 superscript subscript 0 1 3 superscript 𝑡 3 1 2 𝑧 𝑡 1 2 3 𝑧 𝑡 2 3 𝜋 𝑡 {\displaystyle{\displaystyle\mathrm{Gi}\left(z\right)=-\frac{1}{\pi}\int_{0}^{% \infty}\exp\left(-\tfrac{1}{3}t^{3}-\tfrac{1}{2}zt\right)\cos\left(\tfrac{1}{2% }\sqrt{3}zt+\tfrac{2}{3}\pi\right)\mathrm{d}t.}}
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    DLMF id
    DLMF:9.12.E21
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