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DLMF:9.8.E5 - MaRDI portal

DLMF:9.8.E5 (Q3535)

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DLMF:9.8.E5
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    Statements

    DLMF defining formula
    Ai ′ ⁡ ( x ) = N ⁡ ( x ) ⁢ sin ⁡ ϕ ⁡ ( x ) , diffop Airy-Ai 1 𝑥 modulus-Airy-N 𝑥 phase-Airy-Phi 𝑥 {\displaystyle{\displaystyle\mathrm{Ai}'\left(x\right)=N\left(x\right)\sin\phi% \left(x\right),}}
    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.m1acdec
    0 references
    Airy modulus function
    DLMF defining formula
    N ⁡ ( z ) modulus-Airy-N 𝑧 {\displaystyle{\displaystyle N\left(\NVar{z}\right)}}
    xml-id
    C9.S8.E7.m2adec
    0 references
    Airy phase function
    DLMF defining formula
    ϕ ⁡ ( z ) phase-Airy-Phi 𝑧 {\displaystyle{\displaystyle\phi\left(\NVar{z}\right)}}
    xml-id
    C9.S8.E8.m2adec
    0 references
    sine function
    DLMF defining formula
    sin ⁡ z 𝑧 {\displaystyle{\displaystyle\sin\NVar{z}}}
    xml-id
    C4.S14.E1.m2aadec
    0 references
    real variable
    DLMF defining formula
    x 𝑥 {\displaystyle{\displaystyle x}}
    xml-id
    C9.S1.XMD2.m1ddec
    0 references

    Identifiers

     
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