DLMF:9.6.E19 (Q2799): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: Q10919 / rank
 
Normal rank
Property / Symbols used: Q10919 / qualifier
 
test:

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.m1aldec

Revision as of 14:29, 2 January 2020

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DLMF:9.6.E19
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    Statements

    H 1 / 3 ( 2 ) ( ζ ) = e π i / 3 H - 1 / 3 ( 2 ) ( ζ ) = e π i / 6 3 / z ( Ai ( - z ) + i Bi ( - z ) ) , Hankel-H-2-Bessel-third-kind 1 3 𝜁 superscript 𝑒 𝜋 𝑖 3 Hankel-H-2-Bessel-third-kind 1 3 𝜁 superscript 𝑒 𝜋 𝑖 6 3 𝑧 Airy-Ai 𝑧 𝑖 Airy-Bi 𝑧 {\displaystyle{\displaystyle{H^{(2)}_{1/3}}\left(\zeta\right)=e^{\pi i/3}{H^{(% 2)}_{-1/3}}\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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    Ai ( z ) Airy-Ai 𝑧 {\displaystyle{\displaystyle\mathrm{Ai}\left(\NVar{z}\right)}}
    C9.S2.SS1.m1aldec
    0 references