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Formula:10542

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Digital Library of Mathematical Functions ID 36.2.E14

Ξ¨ 2 ⁑ ( 𝐱 ) = P ⁒ ( x 2 , x 1 ) = ∫ - ∞ ∞ exp ⁑ ( i ⁒ ( t 4 + x 2 ⁒ t 2 + x 1 ⁒ t ) ) ⁒ d t . canonical-integral 2 𝐱 𝑃 subscript π‘₯ 2 subscript π‘₯ 1 superscript subscript imaginary-unit superscript 𝑑 4 subscript π‘₯ 2 superscript 𝑑 2 subscript π‘₯ 1 𝑑 𝑑 {\displaystyle{\displaystyle\Psi_{2}\left(\mathbf{x}\right)=P(x_{2},x_{1})=% \int_{-\infty}^{\infty}\exp\left(\mathrm{i}(t^{4}+x_{2}t^{2}+x_{1}t)\right)% \mathrm{d}t.}}


Constraint(s)

Symbols List

  • Ξ¨ K ⁑ ( 𝐱 ) canonical-integral 𝐾 𝐱 {\displaystyle{\displaystyle\Psi_{\NVar{K}}\left(\NVar{\mathbf{x}}\right)}} : canonical integral function
  • d x π‘₯ {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}} : differential of x
  • exp ⁑ z 𝑧 {\displaystyle{\displaystyle\exp\NVar{z}}} : exponential function
  • i imaginary-unit {\displaystyle{\displaystyle\mathrm{i}}} : imaginary unit
  • ∫ {\displaystyle{\displaystyle\int}} : integral
  • t 𝑑 {\displaystyle{\displaystyle t}} : variable
  • x i subscript π‘₯ 𝑖 {\displaystyle{\displaystyle x_{i}}} : real parameter
  •  Edit this on Wikidata

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This page was last edited on 28 January 2024, at 10:02.
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