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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