Difference between revisions of "Glaisher–Kinkelin constant"

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=Properties=
 
=Properties=
 
[[Derivative of zeta at -1]]<br />
 
[[Derivative of zeta at -1]]<br />
 
=References=
 
[http://mpmath.googlecode.com/svn/data/glaisher.txt The Glaisher–Kinkelin constant to 20,000 decimal places]
 
  
 
[[Category:SpecialFunction]]
 
[[Category:SpecialFunction]]

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