Re: Inverse Laplace Transform

*To*: mathgroup at smc.vnet.net*Subject*: [mg108974] Re: Inverse Laplace Transform*From*: dh <dh at metrohm.com>*Date*: Thu, 8 Apr 2010 08:04:54 -0400 (EDT)*References*: <hphq5p$1hm$1@smc.vnet.net>

On 07.04.2010 13:26, Leslaw Bieniasz wrote: > Hi, > > I need to find an inverse Laplace transform of the > expression: > > Sqrt[s*(s+a)]/(s-b) > > where "s" is the Laplace variable, "a" is a real positive constant, > and "b" is a real constant that can be either positive or negative. > I have tried the InverseLaplaceTransform[] function, but it > returns the original expression. My question is: does this mean > that the inverse transform does not exist, or only Mathematica > cannot find it? > Also, if anybody knows where I could possibly find the inverse > in any book, or how I might obtain the inverse otherwise, I would > appreciate an information. Abramowitz and Stegun book does not have it. > > Leslaw > Hi Leslaw, a conditions for the existence of the inverse Laplace transform of F[s] is: Limit[F[s],s->Infinity] == 0 this is not the case for your expression. cheers, Daniel -- Daniel Huber Metrohm Ltd. Oberdorfstr. 68 CH-9100 Herisau Tel. +41 71 353 8585, Fax +41 71 353 8907 E-Mail:<mailto:dh at metrohm.com> Internet:<http://www.metrohm.com>