DLMF:10.21.E44 (Q3351): Difference between revisions

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‎Changed an Item: Add constraint
‎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.m1aadec

Revision as of 15:47, 2 January 2020

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DLMF:10.21.E44
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    Statements

    Defining formula
    J ν ⁡ ( j ν , m ′ ) = h ⁢ ( ζ ) ⁢ Ai ⁡ ( a m ′ ) ν 1 3 ⁢ ( 1 + O ⁡ ( 1 ν 4 3 ) ) , Bessel-J 𝜈 diffop zero-Bessel-J 𝜈 𝑚 1 ℎ 𝜁 Airy-Ai zero-derivative-Airy-Ai 𝑚 superscript 𝜈 1 3 1 Big-O 1 superscript 𝜈 4 3 {\displaystyle{\displaystyle J_{\nu}\left(j_{\nu,m}'\right)=\frac{h(\zeta)% \mathrm{Ai}\left(a^{\prime}_{m}\right)}{\nu^{\frac{1}{3}}}\left(1+O\left(\frac% {1}{\nu^{\frac{4}{3}}}\right)\right),}}
    0 references
    DLMF id
    DLMF:10.21.E44
    0 references
    constraint
    ζ = ν - 2 3 ⁢ a m ′ 𝜁 superscript 𝜈 2 3 zero-derivative-Airy-Ai 𝑚 {\displaystyle{\displaystyle\zeta=\nu^{-\frac{2}{3}}a^{\prime}_{m}}}
    0 references
    Symbols used
    Q10919
    Defining formula
    Ai ⁡ ( z ) Airy-Ai 𝑧 {\displaystyle{\displaystyle\mathrm{Ai}\left(\NVar{z}\right)}}
    xml-id
    C9.S2.SS1.m1aadec
    0 references
     
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