Difference between revisions of "Glaisher–Kinkelin constant"

From specialfunctionswiki
Jump to: navigation, search
 
(2 intermediate revisions by the same user not shown)
Line 4: Line 4:
  
 
=Properties=
 
=Properties=
{{:Derivative of zeta at -1}}
+
[[Derivative of zeta at -1]]<br />
  
=References=
+
[[Category:SpecialFunction]]
[http://mpmath.googlecode.com/svn/data/glaisher.txt The Glaisher–Kinkelin constant to 20,000 decimal places]
 

Latest revision as of 16:01, 16 June 2016

The Glaisher–Kinkelin constant is defined by the formula $$A=\displaystyle\lim_{n \rightarrow \infty} \dfrac{(2\pi)^{\frac{n}{2}}n^{\frac{n^2}{2}-\frac{1}{12}}e^{-\frac{3n^2}{4}+\frac{1}{12}}}{G(n+1)},$$ where $G$ is the Barnes $G$ function.

Properties

Derivative of zeta at -1