English

Stirling's Series Revisited

History and Overview 2023-05-18 v1

Abstract

A concise and elementary derivation of the complete asymptotic expansion for the factorial function n!n! is presented. This treatment produces a new expression for the coefficients, and it brings to light the simple relationship between the asymptotic expansions of n!n! and 1/n!1/n!.

Keywords

Cite

@article{arxiv.2305.09873,
  title  = {Stirling's Series Revisited},
  author = {Valerio De Angeis},
  journal= {arXiv preprint arXiv:2305.09873},
  year   = {2023}
}
R2 v1 2026-06-28T10:36:34.324Z