Abstract
We present a proof given by Euler in his paper “De serierum determinatione
seu nova methodus inveniendi terminos generales serierum” [4] (E189:“On
the determination of series or a new method of finding the general terms
of series”) for Stirling’s formula. Euler’s proof uses his theory of difference
equations with constant coefficients. This theory outgrew from his ear-
lier considerations on inhomogeneous differential equations with constant
coefficients of finite order that he tried to extend to the case of infinite
order.
Last Page
155
Creative Commons License
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License
Recommended Citation
Aycock, Alexander
(2023)
"Euler’s First Proof of Stirling’s Formula,"
Euleriana: 3(2), pp.147-155.
DOI: https://doi.org/10.56031/2693-9908.1057
Available at:
https://scholarlycommons.pacific.edu/euleriana/vol3/iss2/6