DLMF:10.21.E43 (Q3350): Difference between revisions

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Property / 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}}}

\zeta=\nu^{-\frac{2}{3}}\zderivAirya{m}
Property / 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}}} / rank
 
Normal rank

Revision as of 16:18, 30 December 2019

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DLMF:10.21.E43
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    Statements

    j ν , m = ν z ( ζ ) + z ( ζ ) ( h ( ζ ) ) 2 C 0 ( ζ ) 2 ζ ν + O ( 1 ν ) , diffop zero-Bessel-J 𝜈 𝑚 1 𝜈 𝑧 𝜁 𝑧 𝜁 superscript 𝜁 2 subscript 𝐶 0 𝜁 2 𝜁 𝜈 Big-O 1 𝜈 {\displaystyle{\displaystyle j_{\nu,m}'=\nu z(\zeta)+\frac{z(\zeta)(h(\zeta))^% {2}C_{0}(\zeta)}{2\zeta\nu}+O\left(\frac{1}{\nu}\right),}}
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    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