2006/02/28 by Diego Dominici, Dominici, Diego
Mathematics · #Advanced Differential Equations and Dynamical Systems #Differential Equations and Numerical Methods #Mathematical functions and polynomials #math.CA #math.HO #msc:33B15 #msc:41A60
paper · pdf · doi:10.48550/arxiv.math/0603007
16 pages
arxiv created 2006/02/28 · arxiv updated 2009/12/01
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). The method reproduces Stirling's series very easily and can be extended to use in more complicated difference equations.