DLMF:9.11.E17 (Q2924): 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.m1ahdec

Revision as of 14:50, 2 January 2020

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DLMF:9.11.E17
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    Statements

    - Ai 2 ( t ) Bi ( t ) d t = Γ 2 ( 1 3 ) 4 3 π 2 . superscript subscript Airy-Ai 2 𝑡 Airy-Bi 𝑡 𝑡 Euler-Gamma 2 1 3 4 3 superscript 𝜋 2 {\displaystyle{\displaystyle\int_{-\infty}^{\infty}{\mathrm{Ai}^{2}}\left(t% \right)\mathrm{Bi}\left(t\right)\mathrm{d}t=\frac{{\Gamma^{2}}\left(\frac{1}{3% }\right)}{4\sqrt{3}\pi^{2}}.}}
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    DLMF:9.11.E17
    0 references
    Ai ( z ) Airy-Ai 𝑧 {\displaystyle{\displaystyle\mathrm{Ai}\left(\NVar{z}\right)}}
    C9.S2.SS1.m1ahdec
    0 references