Journal of Prime Research in Mathematics

# A note on Stirling’s formula for the gamma function

Dorin Ervin Dutkay
Department of Mathematics, University of Central Florida, Orlando, USA.
Constantin P. Niculescu
Department of Mathematics, University of Craiova, Craiova, Romania.
Florin Popovici
College Grigore Moisil, Brasov, Romania.

$$^{1}$$Corresponding Author: ddutkay@gmail.com

### Abstract

We present a new short proof of Stirling’s formula for the Gamma function. Our approach is based on the Gauss product formula and on a remark concerning the existence of horizontal asymptotes.

#### Keywords:

Mean value theorem, Stirling’s formula, Gosper’s formula.