Talk:Jordan's lemma
![]() | This article is rated Start-class on Wikipedia's content assessment scale. It is of interest to the following WikiProjects: | ||||||||||
|
Untitled
[edit]Isn'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?
[edit]is 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.
--Ryanl (talk) 10:47, 14 April 2008 (UTC)
final limit in proof
[edit]Shouldn'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?
[edit]The 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
[edit]The 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 The comments may be irrelevant or outdated; if so, please feel free to remove this section.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)
|
Last edited at 17:26, 4 March 2008 (UTC). Substituted at 02:15, 5 May 2016 (UTC)