In mathematics, Stirling's approximation (or Stirling's formula) is an asymptotic approximation for factorials. It is a good approximation, ...
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Stirling's formula can also be expressed as an estimate for log(n!): (1.1) log(n!) = nlog n − n + 1 2 log n + 1 2 log(2π) + εn, where εn → 0 as n → ∞.
Stirling's approximation gives an approximate value for the factorial function n! or the gamma function Gamma(n) for n>>1. The approximation can most simply ...