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Gompertz Constant

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G=int_0^infty(e^(-u))/(1+u)du
(1)
=-eEi(-1)
(2)
=0.596347362...
(3)

(OEIS A073003), where Ei(x) is the exponential integral. Stieltjes showed it has the continued fraction representation

G=1/(2-)(1^2)/(4-)(2^2)/(6-)(3^2)/(8-)....
(4)

See also

Exponential Integral

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References

Le Lionnais, F. Les nombres remarquables. Paris: Hermann, p. 29, 1983.Sloane, N. J. A. Sequence A073003 in "The On-Line Encyclopedia of Integer Sequences."

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Gompertz Constant

Cite this as:

Weisstein, Eric W. "Gompertz Constant." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/GompertzConstant.html

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