DLMF:9.6.E12 (Q2792): Difference between revisions

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Created a new Item: Wikidata Toolkit example test item creation
 
Changed an Item: Add constraint
Property / Symbols used
 
Property / Symbols used: Q10919 / rank
 
Normal rank
Property / Symbols used: Q10919 / qualifier
 
Defining formula:

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.m1aedec

Revision as of 14:28, 2 January 2020

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DLMF:9.6.E12
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    Statements

    J ± 2 / 3 ( ζ ) = 1 2 ( 3 / z ) ( ± 3 Ai ( - z ) + Bi ( - z ) ) , Bessel-J plus-or-minus 2 3 𝜁 1 2 3 𝑧 plus-or-minus 3 diffop Airy-Ai 1 𝑧 diffop Airy-Bi 1 𝑧 {\displaystyle{\displaystyle J_{\pm 2/3}\left(\zeta\right)=\tfrac{1}{2}(\sqrt{% 3}/z)\left(\pm\sqrt{3}\mathrm{Ai}'\left(-z\right)+\mathrm{Bi}'\left(-z\right)% \right),}}
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    DLMF:9.6.E12
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    Ai ( z ) Airy-Ai 𝑧 {\displaystyle{\displaystyle\mathrm{Ai}\left(\NVar{z}\right)}}
    C9.S2.SS1.m1aedec
    0 references