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Formula:6434

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Digital Library of Mathematical Functions ID 18.16.E14

x n , n - m + 1 = ν + 2 2 3 ⁢ a m ⁢ ν 1 3 + 1 5 ⁢ 2 4 3 ⁢ a m 2 ⁢ ν - 1 3 + O ⁡ ( n - 1 ) , subscript 𝑥 𝑛 𝑛 𝑚 1 𝜈 superscript 2 2 3 zero-Airy-Ai 𝑚 superscript 𝜈 1 3 1 5 superscript 2 4 3 zero-Airy-Ai 𝑚 2 superscript 𝜈 1 3 Big-O superscript 𝑛 1 {\displaystyle{\displaystyle x_{n,n-m+1}=\nu+2^{\frac{2}{3}}a_{m}\nu^{\frac{1}% {3}}+\tfrac{1}{5}2^{\frac{4}{3}}{a_{m}^{2}}\nu^{-\frac{1}{3}}+O\left(n^{-1}% \right),}}


Constraint(s)

Symbols List

  • O ⁡ ( x ) Big-O 𝑥 {\displaystyle{\displaystyle O\left(\NVar{x}\right)}} : order not exceeding
  • a k zero-Airy-Ai 𝑘 {\displaystyle{\displaystyle a_{\NVar{k}}}} :
  • m 𝑚 {\displaystyle{\displaystyle m}} : nonnegative integer
  • n 𝑛 {\displaystyle{\displaystyle n}} : nonnegative integer
  • ν 𝜈 {\displaystyle{\displaystyle\nu}} : 18.15.E17
  • x 𝑥 {\displaystyle{\displaystyle x}} : real variable
  •  Edit this on Wikidata

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This page was last edited on 28 January 2024, at 10:30.
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