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Gompertz constant
Special constant related to the exponential integral
In mathematics, the Gompertz constant or Euler–Gompertz constant, denoted by δ {\displaystyle \delta } , appears in integral evaluations and as a value of special functions. It is named after Benjamin Gompertz.
From Wikipedia
In mathematics, the Gompertz constant or Euler–Gompertz constant, denoted by δ {\displaystyle \delta } , appears in integral evaluations and as a value of special functions. It is named after Benjamin Gompertz. It can be defined via the exponential integral as: δ = − e Ei ( − 1 ) = ∫ 0 ∞ e − x 1 + x d x . {\displaystyle \delta =-e\operatorname {Ei} (-1)=\int _{0}^{\infty }{\frac {e^{-x}}{1+x}}dx.} The numerical value of δ {\displaystyle \delta } is about δ = 0.596347362323194074341078499369... (sequence A073003 in the OEIS).
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