DLMF:36.2.E5 (Q9840)

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DLMF:36.2.E5
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    Statements

    Defining formula
    Ψ ( U ) ⁡ ( 𝐱 ) = ∫ - ∞ ∞ ∫ - ∞ ∞ exp ⁡ ( i ⁢ Φ ( U ) ⁡ ( s , t ; 𝐱 ) ) ⁢ d s ⁢ d t , umbilic-canonical-integral 𝐱 superscript subscript superscript subscript 𝑖 umbilic-catastrophe 𝑠 𝑡 𝐱 𝑠 𝑡 {\displaystyle{\displaystyle\Psi^{(\mathrm{U})}\left(\mathbf{x}\right)=\int_{-% \infty}^{\infty}\int_{-\infty}^{\infty}\exp\left(i\Phi^{(\mathrm{U})}\left(s,t% ;\mathbf{x}\right)\right)\mathrm{d}s\mathrm{d}t,}}
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    DLMF id
    DLMF:36.2.E5
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