DLMF:9.11.E2 (Q2909)

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DLMF:9.11.E2
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    Statements

    Defining formula
    𝒲 ⁡ { Ai 2 ⁡ ( z ) , Ai ⁡ ( z ) ⁢ Bi ⁡ ( z ) , Bi 2 ⁡ ( z ) } = 2 ⁢ π - 3 . Wronskian Airy-Ai 2 𝑧 Airy-Ai 𝑧 Airy-Bi 𝑧 Airy-Bi 2 𝑧 2 superscript 𝜋 3 {\displaystyle{\displaystyle\mathscr{W}\left\{{\mathrm{Ai}^{2}}\left(z\right),% \mathrm{Ai}\left(z\right)\mathrm{Bi}\left(z\right),{\mathrm{Bi}^{2}}\left(z% \right)\right\}=2\pi^{-3}.}}
    0 references
    DLMF id
    DLMF:9.11.E2
    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.m1adec
    0 references
    Q11081
    Defining formula
    Bi ⁡ ( z ) Airy-Bi 𝑧 {\displaystyle{\displaystyle\mathrm{Bi}\left(\NVar{z}\right)}}
    xml-id
    C9.S2.SS1.m2adec
    0 references
    Q10865
    Defining formula
    𝒲 Wronskian {\displaystyle{\displaystyle\mathscr{W}}}
    xml-id
    C1.S13.Px2.p1.m3adec
    0 references
    the ratio of the circumference of a circle to its diameter
    Defining formula
    π {\displaystyle{\displaystyle\pi}}
    xml-id
    C3.S12.E1.m2adec
    0 references
    Q11381
    Defining formula
    z 𝑧 {\displaystyle{\displaystyle z}}
    xml-id
    C9.S1.XMD3.m1adec
    0 references
     
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