Re: Inverse / Laplace Transform Halved
- To: mathgroup at smc.vnet.net
- Subject: [mg100806] Re: Inverse / Laplace Transform Halved
- From: Peter Breitfeld <phbrf at t-online.de>
- Date: Sun, 14 Jun 2009 05:41:59 -0400 (EDT)
- References: <h0vtes$6vc$1@smc.vnet.net>
Sid wrote: > Dear MathGroup, > > I am currently using Version 6 and have found that > > InverseLaplaceTransform[LaplaceTransform[BesselI[1,t],t,s],s,t] > > yields, after tidying up, 1/2 BesselI[1,t]. > > > Also, > > LaplaceTransform[InverseLaplaceTransform[s*Exp[(-a)*Sqrt[s]], s, t], > t,s] > > gives ((1/2)*s)/E^(a*Sqrt[s]) . > > > Do members have the same problem with Version 7 ? > I have version 7.0.1 Mac OS X 10.15.7 (PPC). The Transformation of BesselI[1,t] gives me an additional 1/2, as you got, whereas s*Exp[-a Sqrt[s]] returns itself. -- _________________________________________________________________ Peter Breitfeld, Bad Saulgau, Germany -- http://www.pBreitfeld.de