, appears in integral evaluations and as a value of special functions.
is about When Euler studied divergent infinite series, he encountered
the Gompertz constant because of its role in survival analysis.
This result was improved in 2012 by Tanguy Rivoal where he proved that at least one of them is transcendental.
we have the series representation Gompertz's constant is connected to the Gregory coefficients via the 2013 formula of I. Mező:[7] The Gompertz constant also happens to be the regularized value of the summation of alternating factorials of all positive integers and summing over all factorial values of every integer leads to zero {divergent series:[2][dubious – discuss]} It is also related to several polynomial continued fractions:[1][2]