DLMF:9.8.E6 (Q2838)

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DLMF:9.8.E6
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    Statements

    Defining formula
    Bi ′ ⁡ ( x ) = N ⁡ ( x ) ⁢ cos ⁡ ϕ ⁡ ( x ) , diffop Airy-Bi 1 𝑥 modulus-Airy-N 𝑥 phase-Airy-Phi 𝑥 {\displaystyle{\displaystyle\mathrm{Bi}'\left(x\right)=N\left(x\right)\cos\phi% \left(x\right),}}
    0 references
    DLMF id
    DLMF:9.8.E6
    0 references
    Symbols used
    Q11081
    Defining formula
    Bi ⁡ ( z ) Airy-Bi 𝑧 {\displaystyle{\displaystyle\mathrm{Bi}\left(\NVar{z}\right)}}
    xml-id
    C9.S2.SS1.m2acdec
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    cosine function
    Defining formula
    cos ⁡ z 𝑧 {\displaystyle{\displaystyle\cos\NVar{z}}}
    xml-id
    C4.S14.E2.m2aadec
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    Airy modulus function
    Defining formula
    N ⁡ ( z ) modulus-Airy-N 𝑧 {\displaystyle{\displaystyle N\left(\NVar{z}\right)}}
    xml-id
    C9.S8.E7.m2aadec
    0 references
    Airy phase function
    Defining formula
    ϕ ⁡ ( z ) phase-Airy-Phi 𝑧 {\displaystyle{\displaystyle\phi\left(\NVar{z}\right)}}
    xml-id
    C9.S8.E8.m2aadec
    0 references
     
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