Stirling's formula


Title: Stirling's formula
Author: Manuel Eberl
Submission date: 2016-09-01
Abstract: This work contains a proof of Stirling's formula both for the factorial n! ∼ √2πn (n/e)n on natural numbers and the real Gamma function Γ(x) ∼ √2π/x (x/e)x. The proof is based on work by Graham Jameson.
  author  = {Manuel Eberl},
  title   = {Stirling's formula},
  journal = {Archive of Formal Proofs},
  month   = sep,
  year    = 2016,
  note    = {\url{},
            Formal proof development},
  ISSN    = {2150-914x},
License: BSD License
Depends on: Bernoulli, Landau_Symbols
Used by: Comparison_Sort_Lower_Bound, Prime_Number_Theorem
Status: [ok] This is a development version of this entry. It might change over time and is not stable. Please refer to release versions for citations.