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Formula:1515

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Digital Library of Mathematical Functions ID 3.11.E26

F ⁢ ( s ) = ℒ ⁡ f ⁡ ( s ) = ∫ 0 ∞ e - s ⁢ t ⁢ f ⁢ ( t ) ⁢ d t 𝐹 𝑠 Laplace-transform 𝑓 𝑠 superscript subscript 0 superscript 𝑒 𝑠 𝑡 𝑓 𝑡 𝑡 {\displaystyle{\displaystyle F(s)=\mathscr{L}\mskip-3.0mu f\mskip 3.0mu \left(% s\right)=\int_{0}^{\infty}e^{-st}f(t)\mathrm{d}t}}


Constraint(s)

Symbols List

  • ℒ ⁡ ( f ) ⁡ ( s ) Laplace-transform 𝑓 𝑠 {\displaystyle{\displaystyle\mathscr{L}\left(\NVar{f}\right)\left(\NVar{s}% \right)}} : Laplace transform
  • 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
  •  Edit this on Wikidata

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