DLMF:9.6.E18 (Q2798): 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.m1akdec

Revision as of 14:29, 2 January 2020

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DLMF:9.6.E18
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    Statements

    H 2 / 3 ( 1 ) ( ζ ) = e - 2 π i / 3 H - 2 / 3 ( 1 ) ( ζ ) = e π i / 6 ( 3 / z ) ( Ai ( - z ) - i Bi ( - z ) ) , Hankel-H-1-Bessel-third-kind 2 3 𝜁 superscript 𝑒 2 𝜋 𝑖 3 Hankel-H-1-Bessel-third-kind 2 3 𝜁 superscript 𝑒 𝜋 𝑖 6 3 𝑧 diffop Airy-Ai 1 𝑧 𝑖 diffop Airy-Bi 1 𝑧 {\displaystyle{\displaystyle{H^{(1)}_{2/3}}\left(\zeta\right)=e^{-2\pi i/3}{H^% {(1)}_{-2/3}}\left(\zeta\right)=e^{\pi i/6}(\sqrt{3}/z)\left(\mathrm{Ai}'\left% (-z\right)-i\mathrm{Bi}'\left(-z\right)\right),}}
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    DLMF:9.6.E18
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    Ai ( z ) Airy-Ai 𝑧 {\displaystyle{\displaystyle\mathrm{Ai}\left(\NVar{z}\right)}}
    C9.S2.SS1.m1akdec
    0 references