DLMF:36.9.E3 (Q9956)

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DLMF:36.9.E3
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    Defining formula
    | Ψ 1 ⁡ ( x ) | 2 = 8 ⁢ π 3 ⁢ ∫ 0 ∞ u - 1 / 2 ⁢ cos ⁡ ( 2 ⁢ u ⁢ ( x + u 2 ) + 1 4 ⁢ π ) ⁢ d u . superscript canonical-integral 1 𝑥 2 8 𝜋 3 superscript subscript 0 superscript 𝑢 1 2 2 𝑢 𝑥 superscript 𝑢 2 1 4 𝜋 𝑢 {\displaystyle{\displaystyle|\Psi_{1}\left(x\right)|^{2}=\sqrt{\frac{8\pi}{3}}% \int_{0}^{\infty}u^{-1/2}\cos\left(2u(x+u^{2})+\tfrac{1}{4}\pi\right)\mathrm{d% }u.}}
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    DLMF id
    DLMF:36.9.E3
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