Re: Difficult antiderivative
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- Subject: [mg128858] Re: Difficult antiderivative
- From: Murray Eisenberg <murray at math.umass.edu>
- Date: Sat, 1 Dec 2012 04:31:29 -0500 (EST)
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On Nov 30, 2012, at 5:54 AM, Brambilla Roberto Luigi (RSE) <Roberto.Brambilla at rse-web.it> wrote: > > ...I'm asking if there exist any general criterion > (at least for simple combinations of elementary functions, as in my examples) that tell us about the existence of antiderivative > in the field of a set of chosen elementary functions. > Can I add to this set other less elementary functions (like Pailev=E9 trascendentans) in order to catch the missing antiderivative? You may wish to take a look at the article: http://en.wikipedia.org/wiki/Risch_algorithm --- Murray Eisenberg murray at math.umass.edu Mathematics & Statistics Dept. Lederle Graduate Research Tower phone 413 549-1020 (H) University of Massachusetts 413 545-2838 (W) 710 North Pleasant Street fax 413 545-1801 Amherst, MA 01003-9305