DLMF:36.2.E14 (Q9850)

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DLMF:36.2.E14
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    Statements

    Defining formula
    Ψ 2 ⁡ ( 𝐱 ) = P ⁢ ( x 2 , x 1 ) = ∫ - ∞ ∞ exp ⁡ ( i ⁢ ( t 4 + x 2 ⁢ t 2 + x 1 ⁢ t ) ) ⁢ d t . canonical-integral 2 𝐱 𝑃 subscript 𝑥 2 subscript 𝑥 1 superscript subscript imaginary-unit superscript 𝑡 4 subscript 𝑥 2 superscript 𝑡 2 subscript 𝑥 1 𝑡 𝑡 {\displaystyle{\displaystyle\Psi_{2}\left(\mathbf{x}\right)=P(x_{2},x_{1})=% \int_{-\infty}^{\infty}\exp\left(\mathrm{i}(t^{4}+x_{2}t^{2}+x_{1}t)\right)% \mathrm{d}t.}}
    0 references
    DLMF id
    DLMF:36.2.E14
    0 references
    Symbols used
    canonical integral function
    Defining formula
    Ψ K ⁡ ( 𝐱 ) canonical-integral 𝐾 𝐱 {\displaystyle{\displaystyle\Psi_{\NVar{K}}\left(\NVar{\mathbf{x}}\right)}}
    xml-id
    C36.S2.E4.m2acdec
    0 references
    Q10770
    Defining formula
    d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}
    xml-id
    C1.S4.SS4.m1ahdec
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