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Formula:738

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Digital Library of Mathematical Functions ID 2.4.E14

I ⁢ ( z ) = ∫ t 0 b e - z ⁢ p ⁢ ( t ) ⁢ q ⁢ ( t ) ⁢ d t - ∫ t 0 a e - z ⁢ p ⁢ ( t ) ⁢ q ⁢ ( t ) ⁢ d t , 𝐼 𝑧 superscript subscript subscript 𝑡 0 𝑏 superscript 𝑒 𝑧 𝑝 𝑡 𝑞 𝑡 𝑡 superscript subscript subscript 𝑡 0 𝑎 superscript 𝑒 𝑧 𝑝 𝑡 𝑞 𝑡 𝑡 {\displaystyle{\displaystyle I(z)=\int_{t_{0}}^{b}e^{-zp(t)}q(t)\mathrm{d}t-% \int_{t_{0}}^{a}e^{-zp(t)}q(t)\mathrm{d}t,}}


Constraint(s)

Symbols List

  • d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}} : differential of x
  • e {\displaystyle{\displaystyle\mathrm{e}}} : base of natural logarithm
  • ∫ {\displaystyle{\displaystyle\int}} : integral
  • a 𝑎 {\displaystyle{\displaystyle a}} : left endpoint
  • b 𝑏 {\displaystyle{\displaystyle b}} : right endpoint
  • I ⁢ ( z ) 𝐼 𝑧 {\displaystyle{\displaystyle I(z)}} : contour integral (locally)
  • p ⁢ ( t ) 𝑝 𝑡 {\displaystyle{\displaystyle p(t)}} : analytic function
  • q ⁢ ( t ) 𝑞 𝑡 {\displaystyle{\displaystyle q(t)}} : analytic function
  •  Edit this on Wikidata

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