Category:Euler-Gompertz Constant

This category contains results about Euler-Gompertz Constant.
Definitions specific to this category can be found in Definitions/Euler-Gompertz Constant.

Integral Form

The Euler-Gompertz constant is the real number $G$ defined as:

$G = \ds \int_0^\infty \dfrac {e^{-u} } {1 + u} \rd u$

As a Continued Fraction

The Euler-Gompertz constant is the real number $G$ defined as:

$G = \cfrac 1 {2 - \cfrac {1^2} {4 - \cfrac {2^2} {6 - \cfrac {3^2} {8 - \cfrac {4^2} {10 - \dotsb} } } } }$