DLMF:9.11.E4 (Q2911): Difference between revisions

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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 14:48, 2 January 2020

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DLMF:9.11.E4
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    Statements

    Ai 2 ( z ) + Bi 2 ( z ) = 1 π 3 / 2 0 exp ( z t - 1 12 t 3 ) t - 1 / 2 d t . Airy-Ai 2 𝑧 Airy-Bi 2 𝑧 1 superscript 𝜋 3 2 superscript subscript 0 𝑧 𝑡 1 12 superscript 𝑡 3 superscript 𝑡 1 2 𝑡 {\displaystyle{\displaystyle{\mathrm{Ai}^{2}}\left(z\right)+{\mathrm{Bi}^{2}}% \left(z\right)=\frac{1}{\pi^{3/2}}\int_{0}^{\infty}\exp\left(zt-\tfrac{1}{12}t% ^{3}\right)t^{-1/2}\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