DLMF:9.2.E8 (Q2760)

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DLMF:9.2.E8
No description defined

    Statements

    Defining formula
    𝒲 ⁡ { Ai ⁡ ( z ) , Ai ⁡ ( z ⁢ e ∓ 2 ⁢ π ⁢ i / 3 ) } = e ± π ⁢ i / 6 2 ⁢ π , Wronskian Airy-Ai 𝑧 Airy-Ai 𝑧 superscript 𝑒 minus-or-plus 2 𝜋 𝑖 3 superscript 𝑒 plus-or-minus 𝜋 𝑖 6 2 𝜋 {\displaystyle{\displaystyle\mathscr{W}\left\{\mathrm{Ai}\left(z\right),% \mathrm{Ai}\left(ze^{\mp 2\pi i/3}\right)\right\}=\frac{e^{\pm\pi i/6}}{2\pi},}}
    0 references
    DLMF id
    DLMF:9.2.E8
    0 references
    Symbols used
    Q10919
    Defining formula
    Ai ⁡ ( z ) Airy-Ai 𝑧 {\displaystyle{\displaystyle\mathrm{Ai}\left(\NVar{z}\right)}}
    xml-id
    C9.S2.SS1.m1aedec
    0 references
    Q10865
    Defining formula
    𝒲 Wronskian {\displaystyle{\displaystyle\mathscr{W}}}
    xml-id
    C1.S13.Px2.p1.m3aadec
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    the ratio of the circumference of a circle to its diameter
    Defining formula
    π {\displaystyle{\displaystyle\pi}}
    xml-id
    C3.S12.E1.m2acdec
    0 references
    base of natural logarithm
    Defining formula
    e {\displaystyle{\displaystyle\mathrm{e}}}
    xml-id
    C4.S2.E11.m2abdec
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    imaginary unit
    Defining formula
    i imaginary-unit {\displaystyle{\displaystyle\mathrm{i}}}
    xml-id
    C1.S9.E1.m2abdec
    0 references
    Q11381
    Defining formula
    z 𝑧 {\displaystyle{\displaystyle z}}
    xml-id
    C9.S1.XMD3.m1ddec
    0 references
     
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