DLMF:9.8.E2 (Q3532)

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DLMF:9.8.E2
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    Statements

    DLMF defining formula
    Bi ⁡ ( x ) = M ⁡ ( x ) ⁢ cos ⁡ θ ⁡ ( x ) , Airy-Bi 𝑥 modulus-Airy-M 𝑥 phase-Airy-Theta 𝑥 {\displaystyle{\displaystyle\mathrm{Bi}\left(x\right)=M\left(x\right)\cos% \theta\left(x\right),}}
    0 references
    Symbols used
    Q11055
    DLMF defining formula
    Bi ⁡ ( z ) Airy-Bi 𝑧 {\displaystyle{\displaystyle\mathrm{Bi}\left(\NVar{z}\right)}}
    xml-id
    C9.S2.SS1.m2adec
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    cosine function
    DLMF defining formula
    cos ⁡ z 𝑧 {\displaystyle{\displaystyle\cos\NVar{z}}}
    xml-id
    C4.S14.E2.m2adec
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    Airy modulus function
    DLMF defining formula
    M ⁡ ( z ) modulus-Airy-M 𝑧 {\displaystyle{\displaystyle M\left(\NVar{z}\right)}}
    xml-id
    C9.S8.E3.m2aadec
    0 references
    Airy phase function
    DLMF defining formula
    θ ⁡ ( z ) phase-Airy-Theta 𝑧 {\displaystyle{\displaystyle\theta\left(\NVar{z}\right)}}
    xml-id
    C9.S8.E4.m2aadec
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    real variable
    DLMF defining formula
    x 𝑥 {\displaystyle{\displaystyle x}}
    xml-id
    C9.S1.XMD2.m1adec
    0 references

    Identifiers

     
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