DLMF:9.9.E17 (Q2878)

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DLMF:9.9.E17
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    Statements

    Defining formula
    Bi ⁡ ( β k ′ ) = ( - 1 ) k - 1 ⁢ 2 ⁢ e π ⁢ i / 6 ⁢ W ⁢ ( 3 8 ⁢ π ⁢ ( 4 ⁢ k - 3 ) + 3 4 ⁢ i ⁢ ln ⁡ 2 ) . Airy-Bi complex-zero-derivative-Airy-Bi 𝑘 superscript 1 𝑘 1 2 superscript 𝑒 𝜋 𝑖 6 𝑊 3 8 𝜋 4 𝑘 3 3 4 𝑖 2 {\displaystyle{\displaystyle\mathrm{Bi}\left(\beta^{\prime}_{k}\right)=(-1)^{k% -1}\sqrt{2}e^{\pi i/6}W\left(\tfrac{3}{8}\pi(4k-3)+\tfrac{3}{4}i\ln 2\right).}}
    0 references
    DLMF id
    DLMF:9.9.E17
    0 references
    Symbols used
    Q11081
    Defining formula
    Bi ⁡ ( z ) Airy-Bi 𝑧 {\displaystyle{\displaystyle\mathrm{Bi}\left(\NVar{z}\right)}}
    xml-id
    C9.S2.SS1.m2aedec
    0 references
     
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