DLMF:36.2.E10 (Q9846)

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DLMF:36.2.E10
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    Statements

    Defining formula
    Ψ K ⁡ ( 𝐱 ; k ) = k ⁢ ∫ - ∞ ∞ exp ⁡ ( i ⁢ k ⁢ Φ K ⁡ ( t ; 𝐱 ) ) ⁢ d t , diffraction-catastrophe 𝐾 𝐱 𝑘 𝑘 superscript subscript 𝑖 𝑘 cuspoid-catastrophe 𝐾 𝑡 𝐱 𝑡 {\displaystyle{\displaystyle\Psi_{K}(\mathbf{x};k)=\sqrt{k}\int_{-\infty}^{% \infty}\exp\left(ik\Phi_{K}\left(t;\mathbf{x}\right)\right)\mathrm{d}t,}}
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    DLMF id
    DLMF:36.2.E10
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    constraint
    k > 0 𝑘 0 {\displaystyle{\displaystyle k>0}}
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