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Variations on a Theme by James Stirling

经典分析与常微分方程 2007-05-23 v1 历史与综述

摘要

We present the history and previous approaches to the proof of Stirling's series. We use a different procedure, based on the asymptotic analysis of the difference equation Γ(z+1)=zΓ(z)\Gamma(z+1)=z\Gamma(z). The method reproduces Stirling's series very easily and can be extended to use in more complicated difference equations.

关键词

引用

@article{arxiv.math/0603007,
  title  = {Variations on a Theme by James Stirling},
  author = {Diego Dominici},
  journal= {arXiv preprint arXiv:math/0603007},
  year   = {2007}
}

备注

16 pages