Variations on a theme by James Stirling
Abstract
We review the history and various approaches to the derivation of Stirling’s series. We use a different procedure, based on the asymptotic analysis of the difference equation 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 applied to analyze more complicated difference equations.
DOI Code:
10.1285/i15900932v28n1p1
Keywords:
Stirling’s series; gamma function; difference equations; asymptotic analysis
Classification:
33B15; 41A60
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