Talk:Schwarzian derivative

Needs TeXpert help with formulae.

Charles Matthews 11:28, 16 Apr 2004 (UTC)


 * Looks fine :) Dysprosia 11:35, 16 Apr 2004 (UTC)

Probably something my end, then. Thanks. Charles Matthews 11:44, 16 Apr 2004 (UTC)

Roots of the Schwarzian Derivative
I am quite interested in knowing if there are any theorems / results concerning positive real roots of the Schwarzian derivative. There are many results where negative roots are concerned, but the particular functions I am studying all have positive roots. Anyone have any info?

[John McKay] Why can this not be referred to as Schwarz derivative ? It makes the search more consistent - and is used too. [John McKay]74.57.27.5 16:55, 13 August 2007 (UTC)

Would it not be better to multiply the SD by 2 ? Integers are better than fractions. [John McKay]133.6.130.119 (talk) 03:52, 4 June 2008 (UTC)

Connection with cross-ratios
In the article on cross-ratio, it says: "The theory takes on a differential calculus aspect as the four points are brought into proximity. This leads to the theory of the Schwarzian derivative, and more generally of projective connections." Following the link, one might expect to see the cross-ratio mentioned in this article, but the phrase doesn't appear. Perhaps someone could craft a sentence or two to clarify the remark made in the other article. Ishboyfay (talk) 20:24, 27 May 2009 (UTC)

The sort of thing I'm proposing is what's found in the AMS Notices article http://www.ams.org/notices/200901/tx090100034p.pdf, which is probably also a good external link. Ishboyfay (talk) 20:36, 27 May 2009 (UTC)