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MathGroup Archive 2006

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Re: Laplace Transform

  • To: mathgroup at smc.vnet.net
  • Subject: [mg65188] Re: Laplace Transform
  • From: Marlies.Goorden at physics.unige.ch
  • Date: Fri, 17 Mar 2006 00:13:31 -0500 (EST)
  • Sender: owner-wri-mathgroup at wolfram.com

Thank your for the replies. Generating conditions indeed helps. 
What I still don't understand is the following. I can generate 
conditions in three ways which I think are equivalent:

LaplaceTransform[Sin[a t], t, s, GenerateConditions -> 
True, 
  Assumptions -> NotElement[a, Reals]]
LaplaceTransform[Sin[a t], t, s, GenerateConditions -> 
True, 
  Assumptions -> Element[a, Complexes]]
LaplaceTransform[Sin[a*t], t, s, GenerateConditions -> True, 
  Assumptions -> Im[a] > 0]

The second one doesn't work (this was what I was doing before 
already). Can anyone tell me what the difference is? And why do 
I have to generate these conditions, shouldn't mathematica 
anyway assume that a is complex? Or should I always put in these 
assumtpiosn when I do a laplace transform.

Thank you for your help, Marlies


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