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MathGroup Archive 1997

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trouble integrating Bessel Functions

  • To: mathgroup at smc.vnet.net
  • Subject: [mg6484] trouble integrating Bessel Functions
  • From: Chris Pankratz <pankratz at eta.pha.jhu.edu>
  • Date: Mon, 24 Mar 1997 21:38:31 -0500 (EST)
  • Organization: HCF - Johns Hopkins University, Baltimore, Maryland, USA
  • Sender: owner-wri-mathgroup at wolfram.com

I have encountered a curious problem calculating the fourier transform of a
modified bessel function.  Mathematica 2.2 will calculate it just fine, but
Mathematica 3.0 won't.  Can anyone assist?  Thanks.
Chris

Mathematica 2.2 does it just fine:
----------------------------------

(1/Sqrt[2 Pi]) * Integrate[BesselK[0, t] Exp[I w t], {t, -Infinity,
Infinity}]

       Pi
  Sqrt[--]
       2
------------
          2
Sqrt[1 + w ]


Mathematica 3.0 doesn't seem to have the right integration package loaded
-------------------------------------------------------------------------
   - it just echoes the command back to me, without giving a result.



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