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DLMF:9.2.E13 - MaRDI portal

DLMF:9.2.E13 (Q3463)

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DLMF:9.2.E13
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    Statements

    DLMF defining formula
    Bi ⁡ ( z ) + e - 2 ⁢ π ⁢ i / 3 ⁢ Bi ⁡ ( z ⁢ e - 2 ⁢ π ⁢ i / 3 ) + e 2 ⁢ π ⁢ i / 3 ⁢ Bi ⁡ ( z ⁢ e 2 ⁢ π ⁢ i / 3 ) = 0 . Airy-Bi 𝑧 superscript 𝑒 2 𝜋 𝑖 3 Airy-Bi 𝑧 superscript 𝑒 2 𝜋 𝑖 3 superscript 𝑒 2 𝜋 𝑖 3 Airy-Bi 𝑧 superscript 𝑒 2 𝜋 𝑖 3 0 {\displaystyle{\displaystyle\mathrm{Bi}\left(z\right)+e^{-2\pi i/3}\mathrm{Bi}% \left(ze^{-2\pi i/3}\right)+e^{2\pi i/3}\mathrm{Bi}\left(ze^{2\pi i/3}\right)=% 0.}}
    0 references
    Symbols used
    Q11055
    DLMF defining formula
    Bi ⁡ ( z ) Airy-Bi 𝑧 {\displaystyle{\displaystyle\mathrm{Bi}\left(\NVar{z}\right)}}
    xml-id
    C9.S2.SS1.m2agdec
    0 references
    the ratio of the circumference of a circle to its diameter
    DLMF defining formula
    π {\displaystyle{\displaystyle\pi}}
    xml-id
    C3.S12.E1.m2ahdec
    0 references
    base of natural logarithm
    DLMF defining formula
    e {\displaystyle{\displaystyle\mathrm{e}}}
    xml-id
    C4.S2.E11.m2agdec
    0 references
    imaginary unit
    DLMF defining formula
    i imaginary-unit {\displaystyle{\displaystyle\mathrm{i}}}
    xml-id
    C1.S9.E1.m2agdec
    0 references
    complex variable
    DLMF defining formula
    z 𝑧 {\displaystyle{\displaystyle z}}
    xml-id
    C9.S1.XMD3.m1idec
    0 references

    Identifiers

     
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