# Stieltjes Constant limit

what is the limit :

$\lim_{n->\infty} \frac{\gamma_{n-1}}{\gamma_{n}}$

$\gamma_{n}$ being the nth Stieltjes Constant

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## 1 Answer

An asymptotic formula for $\gamma_n$ is given here:

http://www.ams.org/journals/mcom/2011-80-273/S0025-5718-2010-02390-7/S0025-5718-2010-02390-7.pdf

From that formula, it is perhaps possible to find at least some estimates for the limit you ask about.

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That points to something behind a paywall - could you point us to something accessible? – Jacques Carette Jan 21 '12 at 15:36
Strangely enough, I could read the paper from my home computer. I have just emailed it to you. – Anatoly Kochubei Jan 21 '12 at 15:52
Perhaps it is possible/not too much work to reflect some of the relevant formula here (I too cannot access the article) – Gottfried Helms Jan 22 '12 at 4:35
Here is another link: indigo.lib.uic.edu:8080/dspace/bitstream/10027/7712/1/… – Anatoly Kochubei Jan 22 '12 at 5:27