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Formula:742

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Digital Library of Mathematical Functions ID 2.4.E17

I ⁒ ( Ξ± , z ) = ∫ 𝒫 e - z ⁒ p ⁒ ( Ξ± , t ) ⁒ q ⁒ ( Ξ± , t ) ⁒ d t 𝐼 𝛼 𝑧 subscript 𝒫 superscript 𝑒 𝑧 𝑝 𝛼 𝑑 π‘ž 𝛼 𝑑 𝑑 {\displaystyle{\displaystyle I(\alpha,z)=\int_{\mathscr{P}}e^{-zp(\alpha,t)}q(% \alpha,t)\mathrm{d}t}}


Constraint(s)

Symbols List

  • d x π‘₯ {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}} : differential of x
  • e {\displaystyle{\displaystyle\mathrm{e}}} : base of natural logarithm
  • ∫ {\displaystyle{\displaystyle\int}} : integral
  • 𝒫 𝒫 {\displaystyle{\displaystyle\mathscr{P}}} : contour
  • p ⁒ ( t ) 𝑝 𝑑 {\displaystyle{\displaystyle p(t)}} : analytic function
  • q ⁒ ( t ) π‘ž 𝑑 {\displaystyle{\displaystyle q(t)}} : analytic function
  • I ⁒ ( Ξ± , z ) 𝐼 𝛼 𝑧 {\displaystyle{\displaystyle I(\alpha,z)}} : integral
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Resources that cite this formula

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This page was last edited on 3 March 2024, at 02:36.
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