F(s)=∫ +∞ 0f(t)e−s tdt
Note 1 to entry: If t is time, the variable s represents complex angular frequency.
Note 2 to entry: The Laplace transform of the function f is also denoted Lf or ℒf.
F(s)= ∫ 0 +∞ f(t) e −s t dt MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGe aGqipG0dh9qqWrVepG0dbbL8F4rqqrVepeea0xe9LqFf0xc9q8qqaq Fn0lXdHiVcFbIOFHK8Feea0dXdar=Jb9hs0dXdHuk9fr=xfr=xfrpe WZqaaiqaciWacmGadaGadeaabaGaaqaaaOqaaiaadAeacaGGOaGaam 4CaiaacMcacqGH9aqpdaWdXaqaaiaadAgacaGGOaGaamiDaiaacMca jugqbiGacwgakmaaCaaaleqabaGaeyOeI0Iaam4CaiaayIW7caWG0b aaaKqzafGaciizaOGaamiDaaWcbaqcLbqacaaMi8UaaGimaaWcbaGa aGjcVlabgUcaRiabg6HiLcqdcqGHRiI8aaaa@4E5F@