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Formula:723

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Digital Library of Mathematical Functions ID 2.3.E33

F s ⁢ ( y ) = ∫ 0 ∞ exp ⁡ ( - 1 2 ⁢ τ 2 + y ⁢ τ ) ⁢ ( τ - y ) s ⁢ τ λ - 1 ⁢ d τ . subscript 𝐹 𝑠 𝑦 superscript subscript 0 1 2 superscript 𝜏 2 𝑦 𝜏 superscript 𝜏 𝑦 𝑠 superscript 𝜏 𝜆 1 𝜏 {\displaystyle{\displaystyle F_{s}(y)=\int_{0}^{\infty}\exp\left(-\tfrac{1}{2}% \tau^{2}+y\tau\right)(\tau-y)^{s}\tau^{\lambda-1}\mathrm{d}\tau.}}


Constraint(s)

Symbols List

  • d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}} : differential of x
  • exp ⁡ z 𝑧 {\displaystyle{\displaystyle\exp\NVar{z}}} : exponential function
  • ∫ {\displaystyle{\displaystyle\int}} : integral
  • λ 𝜆 {\displaystyle{\displaystyle\lambda}} : positive constant
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This page was last edited on 28 January 2024, at 10:30.
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