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Formula:3566

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Digital Library of Mathematical Functions ID 9.9.E7

Ai ′ ⁡ ( a k ) = ( - 1 ) k - 1 ⁢ V ⁢ ( 3 8 ⁢ π ⁢ ( 4 ⁢ k - 1 ) ) , diffop Airy-Ai 1 zero-Airy-Ai 𝑘 superscript 1 𝑘 1 𝑉 3 8 𝜋 4 𝑘 1 {\displaystyle{\displaystyle\mathrm{Ai}'\left(a_{k}\right)=(-1)^{k-1}V\left(% \tfrac{3}{8}\pi(4k-1)\right),}}


Constraint(s)

Symbols List

  • Ai ⁡ ( z ) Airy-Ai 𝑧 {\displaystyle{\displaystyle\mathrm{Ai}\left(\NVar{z}\right)}} :
  • π {\displaystyle{\displaystyle\pi}} : the ratio of the circumference of a circle to its diameter
  • a k zero-Airy-Ai 𝑘 {\displaystyle{\displaystyle a_{\NVar{k}}}} :
  • k 𝑘 {\displaystyle{\displaystyle k}} : nonnegative integer
  • V 𝑉 {\displaystyle{\displaystyle V}} : expansion (locally)
  •  Edit this on Wikidata

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