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editIsn't there a restriction on the power of Jordan's Lemma? Something like, g(r) must go to 0 as fast or faster than 1/R? There's a slightly weaker theorem like 1/R^2, and then Jordan's covers all your bases. Can't find it on the web, and I don't see it here...
You don't need it 203.200.95.130 20:20, 26 August 2007 (UTC)
There needs to be some restriction, right? i.e. is clearly not going to work... although any polynomial with finite terms should work, I imagine. Wackywendell (talk) 00:16, 1 November 2011 (UTC)
> The proof given here would indicate not also wolfram Mathworld thinks not http://mathworld.wolfram.com/JordansLemma.html Jekowl (talk) 21:06, 4 December 2015 (UTC)
Error near top?
editis a valid function for Jordan's Lemma, but is not.
Surely that's only for the case ?
I'm not sure that we should even include this case, as the references don't seem to include it as part of Jordan's lemma.
final limit in proof
editShouldn't this limit equal pi/a rather than 0? —Preceding unsigned comment added by 131.111.8.97 (talk) 12:01, 29 May 2009 (UTC)
Thanks for this.131.111.216.15 (talk) 20:02, 31 May 2009 (UTC) (At Cambridge also? Mathmo?)
Holomorphicity/Continuity required?
editThe requirement that f and g should be smooth on the entire half-plane is not really necessary and often not given in practice, especially if Jordan's lemma is used with the residue theorem. See, e.g., http://mathworld.wolfram.com/JordansLemma.html It is also not quite clear where it is used in the proof listed here. —Preceding unsigned comment added by 218.82.2.216 (talk) 03:14, 8 October 2009 (UTC)
Assessment comment
editThe comment(s) below were originally left at Talk:Jordan's lemma/Comments, and are posted here for posterity. Following several discussions in past years, these subpages are now deprecated. The comments may be irrelevant or outdated; if so, please feel free to remove this section.
--Cronholm144 03:44, 16 June 2007 (UTC)
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Last edited at 17:26, 4 March 2008 (UTC). Substituted at 02:15, 5 May 2016 (UTC)