DLMF:9.2.E12 (Q2764): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: Q11381 / rank
 
Normal rank
Property / Symbols used: Q11381 / qualifier
 
Defining formula:

z 𝑧 {\displaystyle{\displaystyle z}}

z
Property / Symbols used: Q11381 / qualifier
 
xml-id: C9.S1.XMD3.m1hdec

Latest revision as of 14:22, 2 January 2020

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DLMF:9.2.E12
No description defined

    Statements

    Defining formula
    Ai ⁡ ( z ) + e - 2 ⁢ π ⁢ i / 3 ⁢ Ai ⁡ ( z ⁢ e - 2 ⁢ π ⁢ i / 3 ) + e 2 ⁢ π ⁢ i / 3 ⁢ Ai ⁡ ( z ⁢ e 2 ⁢ π ⁢ i / 3 ) = 0 , Airy-Ai 𝑧 superscript 𝑒 2 𝜋 𝑖 3 Airy-Ai 𝑧 superscript 𝑒 2 𝜋 𝑖 3 superscript 𝑒 2 𝜋 𝑖 3 Airy-Ai 𝑧 superscript 𝑒 2 𝜋 𝑖 3 0 {\displaystyle{\displaystyle\mathrm{Ai}\left(z\right)+e^{-2\pi i/3}\mathrm{Ai}% \left(ze^{-2\pi i/3}\right)+e^{2\pi i/3}\mathrm{Ai}\left(ze^{2\pi i/3}\right)=% 0,}}
    0 references
    DLMF id
    DLMF:9.2.E12
    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.m1aidec
    0 references
    the ratio of the circumference of a circle to its diameter
    Defining formula
    π {\displaystyle{\displaystyle\pi}}
    xml-id
    C3.S12.E1.m2agdec
    0 references
    base of natural logarithm
    Defining formula
    e {\displaystyle{\displaystyle\mathrm{e}}}
    xml-id
    C4.S2.E11.m2afdec
    0 references
    imaginary unit
    Defining formula
    i imaginary-unit {\displaystyle{\displaystyle\mathrm{i}}}
    xml-id
    C1.S9.E1.m2afdec
    0 references
    Q11381
    Defining formula
    z 𝑧 {\displaystyle{\displaystyle z}}
    xml-id
    C9.S1.XMD3.m1hdec
    0 references
     
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