DLMF:9.2.E2 (Q2754)

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DLMF:9.2.E2
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    Statements

    Defining formula
    w = Ai ⁡ ( z ) , Bi ⁡ ( z ) , Ai ⁡ ( z ⁢ e ∓ 2 ⁢ π ⁢ i / 3 ) . 𝑤 Airy-Ai 𝑧 Airy-Bi 𝑧 Airy-Ai 𝑧 superscript 𝑒 minus-or-plus 2 𝜋 imaginary-unit 3 {\displaystyle{\displaystyle w=\mathrm{Ai}\left(z\right),\;\mathrm{Bi}\left(z% \right),\;\mathrm{Ai}\left(ze^{\mp 2\pi\mathrm{i}/3}\right).}}
    0 references
    DLMF id
    DLMF:9.2.E2
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    Symbols used
    Q10919
    Defining formula
    Ai ⁡ ( z ) Airy-Ai 𝑧 {\displaystyle{\displaystyle\mathrm{Ai}\left(\NVar{z}\right)}}
    xml-id
    C9.S2.SS1.m1adec
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    Q11081
    Defining formula
    Bi ⁡ ( z ) Airy-Bi 𝑧 {\displaystyle{\displaystyle\mathrm{Bi}\left(\NVar{z}\right)}}
    xml-id
    C9.S2.SS1.m2adec
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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.m2adec
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    base of natural logarithm
    Defining formula
    e {\displaystyle{\displaystyle\mathrm{e}}}
    xml-id
    C4.S2.E11.m2adec
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    imaginary unit
    Defining formula
    i imaginary-unit {\displaystyle{\displaystyle\mathrm{i}}}
    xml-id
    C1.S9.E1.m2adec
    0 references
    Q11381
    Defining formula
    z 𝑧 {\displaystyle{\displaystyle z}}
    xml-id
    C9.S1.XMD3.m1adec
    0 references
     
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