DLMF:9.10.E4 (Q2886): Difference between revisions

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x 𝑥 {\displaystyle{\displaystyle x\rightarrow\infty}}

x\rightarrow\infty
Property / constraint: x 𝑥 {\displaystyle{\displaystyle x\rightarrow\infty}} / rank
 
Normal rank

Revision as of 17:13, 30 December 2019

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DLMF:9.10.E4
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    Statements

    x Ai ( t ) d t 1 2 π - 1 / 2 x - 3 / 4 exp ( - 2 3 x 3 / 2 ) , asymptotically-equals superscript subscript 𝑥 Airy-Ai 𝑡 𝑡 1 2 superscript 𝜋 1 2 superscript 𝑥 3 4 2 3 superscript 𝑥 3 2 {\displaystyle{\displaystyle\int_{x}^{\infty}\mathrm{Ai}\left(t\right)\mathrm{% d}t\sim\tfrac{1}{2}\pi^{-1/2}x^{-3/4}\exp\left({-}\tfrac{2}{3}x^{3/2}\right),}}
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    DLMF:9.10.E4
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    x 𝑥 {\displaystyle{\displaystyle x\rightarrow\infty}}
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