DLMF:9.2.E14 (Q2766)

From testwiki
Revision as of 14:22, 2 January 2020 by imported>Admin (Admin moved page Main Page to Verifying DLMF with Maple and Mathematica)
Jump to navigation Jump to search
No description defined
Language Label Description Also known as
English
DLMF:9.2.E14
No description defined

    Statements

    test
    Ai ⁡ ( - z ) = e π ⁢ i / 3 ⁢ Ai ⁡ ( z ⁢ e π ⁢ i / 3 ) + e - π ⁢ i / 3 ⁢ Ai ⁡ ( z ⁢ e - π ⁢ i / 3 ) , Airy-Ai 𝑧 superscript 𝑒 𝜋 𝑖 3 Airy-Ai 𝑧 superscript 𝑒 𝜋 𝑖 3 superscript 𝑒 𝜋 𝑖 3 Airy-Ai 𝑧 superscript 𝑒 𝜋 𝑖 3 {\displaystyle{\displaystyle\mathrm{Ai}\left(-z\right)=e^{\pi i/3}\mathrm{Ai}% \left(ze^{\pi i/3}\right)+e^{-\pi i/3}\mathrm{Ai}\left(ze^{-\pi i/3}\right),}}
    0 references
    DLMF id
    DLMF:9.2.E14
    0 references
    Symbols used
    Q10919
    test
    Ai ⁡ ( z ) Airy-Ai 𝑧 {\displaystyle{\displaystyle\mathrm{Ai}\left(\NVar{z}\right)}}
    xml-id
    C9.S2.SS1.m1ajdec
    0 references
    the ratio of the circumference of a circle to its diameter
    test
    π {\displaystyle{\displaystyle\pi}}
    xml-id
    C3.S12.E1.m2aidec
    0 references
    base of natural logarithm
    test
    e {\displaystyle{\displaystyle\mathrm{e}}}
    xml-id
    C4.S2.E11.m2ahdec
    0 references
    imaginary unit
    test
    i imaginary-unit {\displaystyle{\displaystyle\mathrm{i}}}
    xml-id
    C1.S9.E1.m2ahdec
    0 references
    Q11381
    test
    z 𝑧 {\displaystyle{\displaystyle z}}
    xml-id
    C9.S1.XMD3.m1jdec
    0 references
     
      Retrieved from "https://lct.wmflabs.org/w/index.php?title=Item:Q2766&oldid=14169"