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Re: "Complement" to the Risch Algorithm

  • To: mathgroup at smc.vnet.net
  • Subject: [mg131455] Re: "Complement" to the Risch Algorithm
  • From: David Bailey <dave at removedbailey.co.uk>
  • Date: Fri, 26 Jul 2013 05:46:34 -0400 (EDT)
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On 25/07/2013 02:58, Matthias Bode wrote:
> Hola:
>
> Motivated by An analytical solution to an integral not currently in Mathematica? and by the interview with Mr. Daniel Lichtblau on omega tau three questions arose to me:
>
> 1. Are there theorems that prove that particular types of functions - e. g.  x^(1/x) - can not be integrated?
>
>
This question would clearly have to be asked with respect to some class 
of functions. For example, Exp[-x^2] isn't integrable, except that the 
special function Erf was introduced specifically to represent this integral!

David Bailey
http://www.dbaileyconsultancy.co.uk





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