My Math Forum A hypothesis on non-elementary functions

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 August 29th, 2012, 04:49 AM #1 Math Team     Joined: Mar 2012 From: India, West Bengal Posts: 3,871 Thanks: 86 Math Focus: Number Theory A hypothesis on non-elementary functions I conjecture : If $f(x)$ is a non-elementary function, then $\int \frac{1}{f(x)} dx$ is a non-elementary integral. I have read Differential Galois Theory a little, but cant really apply it in this. Perhaps someone more knowledgeable on DGT would be able to help me . . . Any proof/disproof/counterexample is appreciated. Balarka .
 August 30th, 2012, 04:02 AM #2 Senior Member   Joined: Aug 2012 Posts: 229 Thanks: 3 Re: A hypothesis on non-elementary functions Hey mathbalarka. Can you explain what you mean by a non-elementary function?
August 30th, 2012, 04:37 AM   #3
Math Team

Joined: Mar 2012
From: India, West Bengal

Posts: 3,871
Thanks: 86

Math Focus: Number Theory
Re: A hypothesis on non-elementary functions

Quote:
 Originally Posted by chiro Can you explain what you mean by a non-elementary function?
Functions which are not elementary.

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