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Re: Bug with LaplaceTransform?

  • To: mathgroup at smc.vnet.net
  • Subject: [mg83582] Re: Bug with LaplaceTransform?
  • From: dh <dh at metrohm.ch>
  • Date: Fri, 23 Nov 2007 05:38:09 -0500 (EST)
  • References: <fi0qfg$6ok$1@smc.vnet.net>


Hi,

yes, I think so. Expanding Exp[-x s] in a Taylor Series around 0 it is 

clear that the integral divergeces there.

hope this helps, Daniel



chuck009 wrote:

> The Laplace Transform integral seems not to converge for any s for the function f(x)=1/x but LaplaceTransform returns -EulerGamma-Log(s) for this function:

> 

> 

> LaplaceTransform[1/x, x, s]

> Integrate[1/(x*Exp[s*x]), {x, 0, Infinity}]

> 

> Is this a bug?

> 




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