DLMF:9.8.E8 (Q2840)

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DLMF:9.8.E8
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    Statements

    Defining formula
    ϕ ⁡ ( x ) = arctan ⁡ ( Ai ′ ⁡ ( x ) / Bi ′ ⁡ ( x ) ) . phase-Airy-Phi 𝑥 diffop Airy-Ai 1 𝑥 diffop Airy-Bi 1 𝑥 {\displaystyle{\displaystyle\phi\left(x\right)=\operatorname{arctan}\left(% \mathrm{Ai}'\left(x\right)/\mathrm{Bi}'\left(x\right)\right).}}
    0 references
    DLMF id
    DLMF:9.8.E8
    0 references
    Symbols used
    Q10919
    Defining formula
    Ai ⁡ ( z ) Airy-Ai 𝑧 {\displaystyle{\displaystyle\mathrm{Ai}\left(\NVar{z}\right)}}
    xml-id
    C9.S2.SS1.m1aedec
    0 references
    Q11081
    Defining formula
    Bi ⁡ ( z ) Airy-Bi 𝑧 {\displaystyle{\displaystyle\mathrm{Bi}\left(\NVar{z}\right)}}
    xml-id
    C9.S2.SS1.m2aedec
    0 references
    Q10816
    Defining formula
    arctan ⁡ z 𝑧 {\displaystyle{\displaystyle\operatorname{arctan}\NVar{z}}}
    xml-id
    C4.S23.SS2.p1.m7aadec
    0 references
    Q11382
    Defining formula
    x 𝑥 {\displaystyle{\displaystyle x}}
    xml-id
    C9.S1.XMD2.m1gdec
    0 references
     
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