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DLMF:9.8.E7 - MaRDI portal

DLMF:9.8.E7 (Q3537)

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DLMF:9.8.E7
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    Statements

    DLMF defining formula
    N ⁡ ( x ) = Ai ′ 2 ⁡ ( x ) + Bi ′ 2 ⁡ ( x ) , modulus-Airy-N 𝑥 diffop Airy-Ai 1 2 𝑥 diffop Airy-Bi 1 2 𝑥 {\displaystyle{\displaystyle N\left(x\right)=\sqrt{{\mathrm{Ai}'^{2}}\left(x% \right)+{\mathrm{Bi}'^{2}}\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.m1addec
    0 references
    Q11055
    DLMF defining formula
    Bi ⁡ ( z ) Airy-Bi 𝑧 {\displaystyle{\displaystyle\mathrm{Bi}\left(\NVar{z}\right)}}
    xml-id
    C9.S2.SS1.m2addec
    0 references
    real variable
    DLMF defining formula
    x 𝑥 {\displaystyle{\displaystyle x}}
    xml-id
    C9.S1.XMD2.m1fdec
    0 references
    complex variable
    DLMF defining formula
    z 𝑧 {\displaystyle{\displaystyle z}}
    xml-id
    C9.S1.XMD3.m1bdec
    0 references

    Identifiers

     
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