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Re: Bug in LaplaceTransform?

• To: mathgroup at smc.vnet.net
• Subject: [mg97754] Re: Bug in LaplaceTransform?
• From: "Nasser Abbasi" <nma at 12000.org>
• Date: Fri, 20 Mar 2009 02:42:24 -0500 (EST)
• References: <gpsr23$mf1$1@smc.vnet.net>
• Reply-to: "Nasser Abbasi" <nma at 12000.org>

"Wieland Brendel" <wielandbrendel at gmx.net> wrote in message 
news:gpsr23$mf1$1 at smc.vnet.net...
> Dear reader,
> how can it happen that Mathematica throws out -i for the Laplace
> transform of one,
>
> LaplaceTransform[1, t, I] = -i?
>
> After all the Laplace transformation (with s = I) is defined as
>
> Integrate[Exp[-I t], {t, 0, Infinity}]
>
> and should be undefined. Am I wrong or is this a bug?
>
> Thanks for an answer!
> Wieland
>

Laplace transform of 1 is 1/s, right?

So, if you used 'I' instead of 's', you get 1/I, right?

But 1/I = -I

So I think there is no bug here.

--Nasser