Journal of Prime Research in Mathematics
Vol. 1 (2012), Issue 1, pp. 01 – 04
ISSN: 1817-3462 (Online) 1818-5495 (Print)
ISSN: 1817-3462 (Online) 1818-5495 (Print)
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
Copyright © 2012 Dorin Ervin Dutkay, Constantin P. Niculescu, Florin Popovici. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Published: December, 2012.
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.