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Formula:3539

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Digital Library of Mathematical Functions ID 9.8.E9

| x | 1 / 2 ⁢ M 2 ⁡ ( x ) = 1 2 ⁢ ξ ⁢ ( J 1 / 3 2 ⁡ ( ξ ) + Y 1 / 3 2 ⁡ ( ξ ) ) , superscript 𝑥 1 2 modulus-Airy-M 2 𝑥 1 2 𝜉 Bessel-J 1 3 2 𝜉 Bessel-Y-Weber 1 3 2 𝜉 {\displaystyle{\displaystyle|x|^{1/2}{M^{2}}\left(x\right)=\tfrac{1}{2}\xi% \left({J_{1/3}^{2}}\left(\xi\right)+{Y_{1/3}^{2}}\left(\xi\right)\right),}}


Constraint(s)

Symbols List

  • J ν ⁡ ( z ) Bessel-J 𝜈 𝑧 {\displaystyle{\displaystyle J_{\NVar{\nu}}\left(\NVar{z}\right)}} : Bessel function of the first kind
  • Y ν ⁡ ( z ) Bessel-Y-Weber 𝜈 𝑧 {\displaystyle{\displaystyle Y_{\NVar{\nu}}\left(\NVar{z}\right)}} : Bessel function of the second kind
  • M ⁡ ( z ) modulus-Airy-M 𝑧 {\displaystyle{\displaystyle M\left(\NVar{z}\right)}} : Airy modulus function
  • x 𝑥 {\displaystyle{\displaystyle x}} : real variable
  • ξ 𝜉 {\displaystyle{\displaystyle\xi}} : change of variable
  •  Edit this on Wikidata

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This page was last edited on 3 March 2024, at 01:50.
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