Talk:Abel's theorem

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 Field: Analysis

The title of this page isn't very specific, since there are a number of mathematical concepts that might be called "Abel's theorem", but it isn't already in use, so I thought I'd take it. Eventually, someone will probably need to disambiguate this and all the other Abel's theorems (and abelian theorems!). For now, at least, it ain't gonna be me! 14/9/05 Your previous version of this theorem which only considered the case of non negative coefficients was correct but could mislead a beginning student. I hope things are clearer now.

I think the comments above may have been written by user:Bjcairns; I'm not sure. Michael Hardy 01:41, 28 August 2006 (UTC)

Is "a limit" a specific thing or should it actually read the limit? Thank you. 11:08, 4 April 2007 (UTC)

It should not say "the", at least as the sentence is now phrased. It is the limit as z approaches 1 from below. It is not the limit as z approaches something else. It is one of various possible limits. Michael Hardy 18:18, 4 April 2007 (UTC)

Someone should add a proof to this article. Add in need of expert? JIMOTHY46ct 19:33, 27 December 2007 (UTC)

At the risk of sounding pedantic, I think the choice of dummy variable i in the context of complex numbers is a little unfortunate. Perhaps changing it to k would eliminate the risk of confusion? Jergosh (talk) 20:39, 11 May 2008 (UTC)


I agree with the comment above that the title is not clear. I suggest Abel summation. What do people think? Thenub314 (talk) 16:04, 11 November 2008 (UTC)