# Approximation of $x!$

I have discovered a new formula that approximates the factorial function. It is more accurate than Stirling’s approximation. How do I go about publishing it and receive the credit for it?

• What is your definition of $x!$? – uniquesolution Jul 16 at 7:17
• Please, let us know when you will publish it. It is a so important topic for all of us ! Thanks, cheers and good luck. – Claude Leibovici Jul 16 at 7:31
• – Klangen Jul 16 at 8:29
• Remember that, despite the wider use of Stirling's one, there exist other formulas for approximating the factorial $n!$ to higher precision (see also @Klangen's comment): for example, Francesco Tricomi mentions one of them in a didactic paper on the Landau symbols $o$ and $O$. If you can, review the literature by using Zentralblatt and the Mathematical Reviews in order to see if it has already been published or nevertheless look for other formulas in order to make a nice historical introduction to your paper. – Daniele Tampieri Jul 16 at 9:22
• You may also look in this paper of G. Nemes (10.1007/s00013-010-0146-9) with $(x-1)!=\Gamma(x)\approx (\frac{x}{e})^x\sqrt{2\pi/x}(1+\frac{1}{12x^2-1/10})^x$ – yarchik Jul 16 at 10:45