Re: Inverse / Laplace Transform Halved
- To: mathgroup at smc.vnet.net
- Subject: [mg100793] Re: [mg100753] Inverse / Laplace Transform Halved
- From: Murray Eisenberg <murray at math.umass.edu>
- Date: Sun, 14 Jun 2009 05:39:31 -0400 (EDT)
- Organization: Mathematics & Statistics, Univ. of Mass./Amherst
- References: <200906131001.GAA07123@smc.vnet.net>
- Reply-to: murray at math.umass.edu
Mathematica 7.0.1: InverseLaplaceTransform[LaplaceTransform[BesselI[1,t],t,s],s,t]// Simplify // InputForm Piecewise[{{BesselI[1, t]/2, s > 1}, {-DiracDelta[t], s < 1}}, 0] LaplaceTransform[InverseLaplaceTransform[s*Exp[(-a)*Sqrt[s]],s,t],t,s] // InputForm s/E^(a*Sqrt[s]) 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 ? > > Is it I who am missing something here ? > > > Thanks for your help. > > Cheers > > Sid > -- Murray Eisenberg murray at math.umass.edu Mathematics & Statistics Dept. Lederle Graduate Research Tower phone 413 549-1020 (H) University of Massachusetts 413 545-2859 (W) 710 North Pleasant Street fax 413 545-1801 Amherst, MA 01003-9305
- References:
- Inverse / Laplace Transform Halved
- From: Sid <pcoords29@gmail.com>
- Inverse / Laplace Transform Halved