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

Full Text: PDF
کاغذ a4

Creative Commons License
This work is licensed under a Creative Commons Attribuzione - Non commerciale - Non opere derivate 3.0 Italia License.