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MathGroup Archive 2005

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Re: bugs in Mathematica 5.1

  • To: mathgroup at smc.vnet.net
  • Subject: [mg54044] Re: [mg54032] bugs in Mathematica 5.1
  • From: Murray Eisenberg <murray at math.umass.edu>
  • Date: Wed, 9 Feb 2005 09:27:16 -0500 (EST)
  • Organization: Mathematics & Statistics, Univ. of Mass./Amherst
  • References: <200502081031.FAA17731@smc.vnet.net>
  • Reply-to: murray at math.umass.edu
  • Sender: owner-wri-mathgroup at wolfram.com

But:

   Integrate[Exp[I z^2], {z, 0, Infinity}]

gives a non-convergence error message.

   Integrate[ExpToTrig[Exp[I z^2]], {z, 0, Infinity}]
(1/2 + I/2)*Sqrt[Pi/2]


   Integrate[ExpToTrig[Exp[I z^2]], {z, 0, Infinity}]
(1/2 + I/2)*Sqrt[Pi/2]


Gennady Stupakov wrote:

> In[13]:={$System, $Version, $MachineType, $ProcessorType}
> Out[13]={"Microsoft Windows","5.1 for Microsoft Windows (October 25, 2004)",
> "PC", "x86"}
> 
> First, I integrate E^(I*x^2),  from 0 to Infinity and get zero, which, of
> course, is wrong.
> 
> In[1]:={Integrate[E^(I*x^2), {x, 0, Infinity}], Integrate[Cos[x^2] +
> I*Sin[x^2], {x, 0,
> Infinity}]}
> Out[1]={0, (1/2 + I/2)*Sqrt[Pi/2]}

-- 
Murray Eisenberg                     murray at math.umass.edu
Mathematics & Statistics Dept.
Lederle Graduate Research Tower      phone 413 549-1020 (H)
University of Massachusetts                413 545-2859 (W)
710 North Pleasant Street            fax   413 545-1801
Amherst, MA 01003-9305


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