DLMF:10.21.E41 (Q3348): Difference between revisions

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Property / constraint
 

ζ = ν - 2 3 a m 𝜁 superscript 𝜈 2 3 zero-Airy-Ai 𝑚 {\displaystyle{\displaystyle\zeta=\nu^{-\frac{2}{3}}a_{m}}}

\zeta=\nu^{-\frac{2}{3}}\zAirya{m}
Property / constraint: ζ = ν - 2 3 a m 𝜁 superscript 𝜈 2 3 zero-Airy-Ai 𝑚 {\displaystyle{\displaystyle\zeta=\nu^{-\frac{2}{3}}a_{m}}} / rank
 
Normal rank

Revision as of 17:18, 30 December 2019

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DLMF:10.21.E41
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    j ν , m = ν z ( ζ ) + z ( ζ ) ( h ( ζ ) ) 2 B 0 ( ζ ) 2 ν + O ( 1 ν 3 ) , zero-Bessel-J 𝜈 𝑚 𝜈 𝑧 𝜁 𝑧 𝜁 superscript 𝜁 2 subscript 𝐵 0 𝜁 2 𝜈 Big-O 1 superscript 𝜈 3 {\displaystyle{\displaystyle j_{\nu,m}=\nu z(\zeta)+\frac{z(\zeta)(h(\zeta))^{% 2}B_{0}(\zeta)}{2\nu}+O\left(\frac{1}{\nu^{3}}\right),}}
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    DLMF:10.21.E41
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    ζ = ν - 2 3 a m 𝜁 superscript 𝜈 2 3 zero-Airy-Ai 𝑚 {\displaystyle{\displaystyle\zeta=\nu^{-\frac{2}{3}}a_{m}}}
    0 references