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1.17.E16 - MaRDI portal

1.17.E16 (Q645)

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1.17.E16
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    Statements

    DLMF defining formula
    δ ⁡ ( x - a ) = ∫ - ∞ ∞ Ai ⁡ ( t - x ) ⁢ Ai ⁡ ( t - a ) ⁢ d t . Dirac-delta 𝑥 𝑎 superscript subscript Airy-Ai 𝑡 𝑥 Airy-Ai 𝑡 𝑎 𝑡 {\displaystyle{\displaystyle\delta\left(x-a\right)=\int_{-\infty}^{\infty}% \mathrm{Ai}\left(t-x\right)\mathrm{Ai}\left(t-a\right)\mathrm{d}t.}}
    0 references
    Symbols used
    Q10893
    DLMF defining formula
    Ai ⁡ ( z ) Airy-Ai 𝑧 {\displaystyle{\displaystyle\mathrm{Ai}\left(\NVar{z}\right)}}
    xml-id
    C9.S2.SS1.m1adec
    0 references
    Q10889
    DLMF defining formula
    δ ⁡ ( x - a ) Dirac-delta 𝑥 𝑎 {\displaystyle{\displaystyle\delta\left(\NVar{x-a}\right)}}
    xml-id
    C1.S17.SS1.p1.m2agdec
    0 references
    differential of x
    DLMF defining formula
    d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}
    xml-id
    C1.S4.SS4.m1aldec
    0 references
    integral
    DLMF defining formula
    ∫ {\displaystyle{\displaystyle\int}}
    xml-id
    C1.S4.SS4.m3aldec
    0 references

    Identifiers

     
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