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A Bug in Mathematica 5.0 (FourierTransform)

  • To: mathgroup at smc.vnet.net
  • Subject: [mg43421] A Bug in Mathematica 5.0 (FourierTransform)
  • From: tingeneral at yahoo.com (AC)
  • Date: Fri, 29 Aug 2003 07:16:47 -0400 (EDT)
  • Sender: owner-wri-mathgroup at wolfram.com

I tried the following in Mathematica 5.0 trial version for Windows and
got the following unexpected result:
In[1]:=
Thread[FourierTransform[{Tanh[x], ArcTan[x]},x,f]]
Out[1]={I*Sqrt[Pi/2]*Csch[(f*Pi)/2], 0}

The second item is obviously wrong since the Fourier transform of
ArcTan is not zero. I tried other funcitons, it seems that whenever
Tanh[x] and ArcTan[x] show up together, the result of ArcTan[x] is
always 0!

Version 4.2 gives correct result.

Thanks.

Art


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