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DLMF:9.8.E1 - MaRDI portal

DLMF:9.8.E1 (Q3531)

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DLMF:9.8.E1
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    Statements

    DLMF defining formula
    Ai ⁡ ( x ) = M ⁡ ( x ) ⁢ sin ⁡ θ ⁡ ( x ) , Airy-Ai 𝑥 modulus-Airy-M 𝑥 phase-Airy-Theta 𝑥 {\displaystyle{\displaystyle\mathrm{Ai}\left(x\right)=M\left(x\right)\sin% \theta\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.m1adec
    0 references
    Airy modulus function
    DLMF defining formula
    M ⁡ ( z ) modulus-Airy-M 𝑧 {\displaystyle{\displaystyle M\left(\NVar{z}\right)}}
    xml-id
    C9.S8.E3.m2adec
    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.m2adec
    0 references
    sine function
    DLMF defining formula
    sin ⁡ z 𝑧 {\displaystyle{\displaystyle\sin\NVar{z}}}
    xml-id
    C4.S14.E1.m2adec
    0 references
    real variable
    DLMF defining formula
    x 𝑥 {\displaystyle{\displaystyle x}}
    xml-id
    C9.S1.XMD2.m1dec
    0 references

    Identifiers

     
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