Gompertz constant
id:
gompertz-constant-183-402940
title:
Gompertz constant
text:
In mathematics, the Gompertz constant or Euler–Gompertz constant, denoted by δ, appears in integral evaluations and as a value of special functions. It is named after Benjamin Gompertz. It can be defined by the continued fraction
- δ = 1 2 − 1 4 − 4 6 − 9 8 − ⋱ − n 2 2 n + 2 − …, or, alternatively, by
- δ = 1 − 1 3 − 2 5 − 6 7 − 12 9 − ⋱ − n 2 n + 3 − … or
- δ = 1 1 + 1 1 + 1 1 + 2 1 + 2 1 + 3 1 + 3 1 + 4 1 + …. The most frequent appearance of δ is in the following integrals:
- δ = ∫ 0 ∞
brand slug:
wiki
category slug:
encyclopedia
description:
Special constant defined by a continued fraction
original url:
https://en.wikipedia.org/wiki/Gompertz_constant
date created:
2014-05-20T03:45:50Z
date modified:
2024-09-06T18:24:04Z
main entity:
{"identifier":"Q17018254","url":"https://www.wikidata.org/entity/Q17018254"}
image:
fields total:
13
integrity:
15