DLMF:9.5.E4 (Q2776): Difference between revisions

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imported>Admin
Property / Symbols used
 
Property / Symbols used: Q10919 / rank
 
Normal rank
Property / Symbols used: Q10919 / qualifier
 
test:

Ai ( z ) Airy-Ai 𝑧 {\displaystyle{\displaystyle\mathrm{Ai}\left(\NVar{z}\right)}}

\AiryAi@{\NVar{z}}
Property / Symbols used: Q10919 / qualifier
 
xml-id: C9.S2.SS1.m1abdec

Revision as of 14:24, 2 January 2020

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DLMF:9.5.E4
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    Statements

    Ai ( z ) = 1 2 π i e - π i / 3 e π i / 3 exp ( 1 3 t 3 - z t ) d t , Airy-Ai 𝑧 1 2 𝜋 𝑖 superscript subscript superscript 𝑒 𝜋 𝑖 3 superscript 𝑒 𝜋 𝑖 3 1 3 superscript 𝑡 3 𝑧 𝑡 𝑡 {\displaystyle{\displaystyle\mathrm{Ai}\left(z\right)=\frac{1}{2\pi i}\int_{% \infty e^{-\pi i/3}}^{\infty e^{\pi i/3}}\exp\left(\tfrac{1}{3}t^{3}-zt\right)% \mathrm{d}t,}}
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    Ai ( z ) Airy-Ai 𝑧 {\displaystyle{\displaystyle\mathrm{Ai}\left(\NVar{z}\right)}}
    C9.S2.SS1.m1abdec
    0 references