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