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MathGroup Archive 2002

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Re: Re: A Bessel integral

  • To: mathgroup at smc.vnet.net
  • Subject: [mg36862] Re: [mg36848] Re: [mg36779] A Bessel integral
  • From: Andrzej Kozlowski <andrzej at tuins.ac.jp>
  • Date: Mon, 30 Sep 2002 03:03:01 -0400 (EDT)
  • Sender: owner-wri-mathgroup at wolfram.com

On Sunday, September 29, 2002, at 03:55 PM, Vladimir Bondarenko wrote:
>
>
> Integrate[BesselJ[1, x]*BesselJ[0, x], {x, 0, Infinity}]
>
> is equal to 1/2, and Mathematica 4.1 for Microsoft Windows
> (November 2, 2000) does it correctly, while Mathematica 4.2
> for Microsoft Windows (February 28, 2002) concocts a strange
> mixture of a wrong divergence message and the warning that
> it cannot check the convergence [should I trust to the second
> warning? or the first?]


In[6]:=
Integrate[BesselJ[1, x]*BesselJ[0, x], {x, 0, Infinity}]

Out[6]=
1/2

In[7]:=
$Version

Out[7]=
"4.2 for Mac OS X (June 4, 2002)"



Andrzej Kozlowski
Toyama International University
JAPAN



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