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
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- it just echoes the command back to me, without giving a result.