DLMF:9.5.E7 (Q2779): Difference between revisions

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Created a new Item: Wikidata Toolkit example test item creation
 
Changed an Item: Add constraint
Property / constraint
 

| ph z | < π phase 𝑧 𝜋 {\displaystyle{\displaystyle|\operatorname{ph}z|<\pi}}

|\phase@@{z}|<\pi
Property / constraint: | ph z | < π phase 𝑧 𝜋 {\displaystyle{\displaystyle|\operatorname{ph}z|<\pi}} / rank
 
Normal rank

Revision as of 17:13, 30 December 2019

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DLMF:9.5.E7
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    Statements

    Ai ( z ) = e - ζ π 0 exp ( - z 1 / 2 t 2 ) cos ( 1 3 t 3 ) d t , Airy-Ai 𝑧 superscript 𝑒 𝜁 𝜋 superscript subscript 0 superscript 𝑧 1 2 superscript 𝑡 2 1 3 superscript 𝑡 3 𝑡 {\displaystyle{\displaystyle\mathrm{Ai}\left(z\right)=\frac{e^{-\zeta}}{\pi}% \int_{0}^{\infty}\exp\left(-z^{\ifrac{1}{2}}t^{2}\right)\cos\left(\tfrac{1}{3}% t^{3}\right)\mathrm{d}t,}}
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    DLMF:9.5.E7
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    | ph z | < π phase 𝑧 𝜋 {\displaystyle{\displaystyle|\operatorname{ph}z|<\pi}}
    0 references