DLMF:9.8.E19 (Q2854)

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DLMF:9.8.E19
No description defined

    Statements

    Defining formula
    θ ′ 2 ⁡ ( x ) + 1 2 ⁢ ( θ ′′′ ⁡ ( x ) / θ ′ ⁡ ( x ) ) - 3 4 ⁢ ( θ ′′ ⁡ ( x ) / θ ′ ⁡ ( x ) ) 2 = - x . diffop phase-Airy-Theta 1 2 𝑥 1 2 diffop phase-Airy-Theta 3 𝑥 diffop phase-Airy-Theta 1 𝑥 3 4 superscript diffop phase-Airy-Theta 2 𝑥 diffop phase-Airy-Theta 1 𝑥 2 𝑥 {\displaystyle{\displaystyle{\theta'^{2}}\left(x\right)+\tfrac{1}{2}(\theta'''% \left(x\right)/\theta'\left(x\right))-\tfrac{3}{4}(\theta''\left(x\right)/% \theta'\left(x\right))^{2}=-x.}}
    0 references
    DLMF id
    DLMF:9.8.E19
    0 references
    Symbols used
    Airy phase function
    Defining formula
    θ ⁡ ( z ) phase-Airy-Theta 𝑧 {\displaystyle{\displaystyle\theta\left(\NVar{z}\right)}}
    xml-id
    C9.S8.E4.m2ahdec
    0 references
    Q11382
    Defining formula
    x 𝑥 {\displaystyle{\displaystyle x}}
    xml-id
    C9.S1.XMD2.m1rdec
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