f(t)= 1 2πj ∫ σ−j∞ σ+j∞ F(s) e s t ds MathType@MTEF@5@5@+=feaagCart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHXgaruavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGeaGqipG0dh9qqWrVepG0dbbL8F4rqqrVepeea0xe9LqFf0xc9q8qqaqFn0lXdHiVcFbIOFHK8Feea0dXdar=Jb9hs0dXdHuk9fr=xfr=xfrpeWZqaaiqaciWaamGadaGadeaabaGaaqaaaOqaaiaadAgacaGGOaGaamiDaiaacMcacqGH9aqpdaWcaaqaaKqzafGaaGymaaGcbaqcLbuacaaIYaacdaGccqWFapaCjugqbiaabQgaaaGcdaWdXaqaaiaadAeacaGGOaGaam4CaiaacMcajugqbiGacwgakmaaCaaaleqabaGaam4CaiaayIW7caWG0baaaKqzafGaciizaOGaam4CaaWcbaGaaGjcVlabeo8aZjabgkHiTiaabQgacqGHEisPaeaacaaMi8Uaeq4WdmNaey4kaSIaaeOAaiabg6HiLcqdcqGHRiI8aaaa@5A59@
where F(s) MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGe aGqipG0dh9qqWrVepG0dbbL8F4rqqrVepeea0xe9LqFf0xc9q8qqaq Fn0lXdHiVcFbIOFHK8Feea0dXdar=Jb9hs0dXdHuk9fr=xfr=xfrpe WZqaaiqaciWacmGadaGadeaabaGaaqaaaOqaaiaadAeacaGGOaGaam 4CaiaacMcaaaa@386E@ is the Laplace transform of the function f(t), σ is greater or equal to the abscissa of convergence of F(s) MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGe aGqipG0dh9qqWrVepG0dbbL8F4rqqrVepeea0xe9LqFf0xc9q8qqaq Fn0lXdHiVcFbIOFHK8Feea0dXdar=Jb9hs0dXdHuk9fr=xfr=xfrpe WZqaaiqaciWacmGadaGadeaabaGaaqaaaOqaaiaadAeacaGGOaGaam 4CaiaacMcaaaa@386E@ and j is the imaginary unit