Talk:Barnes G-function
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[edit] Which Superfactorials?
This page says that the G-function is a generalization of superfactorials, but the factorials page lists two kinds of superfactorials. What kind are we talking about? --Zemylat 03:29, 12 May 2006 (UTC)
[edit] Original Paper of Barnes
As far as I am aware, Barnes' orginal paper of 1900 is the only complete exposition in print of the theory of the G function. Could editors of this page please make sure that their amendments to this page agree with the original article? The article is extremely carefully written and repays careful study. I intend to add extra sections in the wikipedia article on integral representations of the G function, which so far have not been mentioned. The Barnes G function has assumed an unexpected importance since the mid 1960's after it was discovered that it appears naturally in the asymptotics of Toeplitz determinants and the closely related theory of random matrices. --Mathsci 17:16, 31 March 2007 (UTC)
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- I agree, but when we spot errors we must correct them and not blindly copy formulas. In case of the asymptotic expansion, you can trivially verify that the formula you gave is wrong. In fact, why not numerically check the validity using Mathematica or Maple? That's exactly what I was doing when I spotted the error in the formula given by Adamchik. I then checked his paper again and found that he made a sign error.
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- I can easily reproduce the complete derivation from first principles here, if you want... Count Iblis 17:49, 31 March 2007 (UTC)
For the record, it was not an error, just a mixup of conventions as Mathsci pointed out to me on my talk page. This will be explainedin the article. Count Iblis 18:22, 31 March 2007 (UTC)
