DLMF:9.2.E8 (Q2760): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: base of natural logarithm / rank
 
Normal rank
Property / Symbols used: base of natural logarithm / qualifier
 
test:

e {\displaystyle{\displaystyle\mathrm{e}}}

\expe
Property / Symbols used: base of natural logarithm / qualifier
 
xml-id: C4.S2.E11.m2abdec
Property / Symbols used
 
Property / Symbols used: imaginary unit / rank
 
Normal rank
Property / Symbols used: imaginary unit / qualifier
 
test:

i imaginary-unit {\displaystyle{\displaystyle\mathrm{i}}}

\iunit
Property / Symbols used: imaginary unit / qualifier
 
xml-id: C1.S9.E1.m2abdec
Property / Symbols used
 
Property / Symbols used: Q11381 / rank
 
Normal rank
Property / Symbols used: Q11381 / qualifier
 
test:

z 𝑧 {\displaystyle{\displaystyle z}}

z
Property / Symbols used: Q11381 / qualifier
 
xml-id: C9.S1.XMD3.m1ddec

Latest revision as of 14:21, 2 January 2020

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DLMF:9.2.E8
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    Statements

    𝒲 { Ai ( z ) , Ai ( z e 2 π i / 3 ) } = e ± π i / 6 2 π , Wronskian Airy-Ai 𝑧 Airy-Ai 𝑧 superscript 𝑒 minus-or-plus 2 𝜋 𝑖 3 superscript 𝑒 plus-or-minus 𝜋 𝑖 6 2 𝜋 {\displaystyle{\displaystyle\mathscr{W}\left\{\mathrm{Ai}\left(z\right),% \mathrm{Ai}\left(ze^{\mp 2\pi i/3}\right)\right\}=\frac{e^{\pm\pi i/6}}{2\pi},}}
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    Ai ( z ) Airy-Ai 𝑧 {\displaystyle{\displaystyle\mathrm{Ai}\left(\NVar{z}\right)}}
    C9.S2.SS1.m1aedec
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    𝒲 Wronskian {\displaystyle{\displaystyle\mathscr{W}}}
    C1.S13.Px2.p1.m3aadec
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    π {\displaystyle{\displaystyle\pi}}
    C3.S12.E1.m2acdec
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    e {\displaystyle{\displaystyle\mathrm{e}}}
    C4.S2.E11.m2abdec
    0 references
    i imaginary-unit {\displaystyle{\displaystyle\mathrm{i}}}
    C1.S9.E1.m2abdec
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    z 𝑧 {\displaystyle{\displaystyle z}}
    C9.S1.XMD3.m1ddec
    0 references