Stirling's formula derived simply

Autor: Keller, Joseph B., Vanden-Broeck, Jean-Marc
Rok vydání: 2007
Předmět:
Druh dokumentu: Working Paper
Popis: Stirling's formula, the asymptotic expansion of $n!$ for $n$ large, or of $\Gamma(z)$ for $z\to \infty$, is derived directly from the recursion equation $\Gamma(z+1) =z \Gamma(s)$ and the normalization condition $\Gamma ({1/2}) =\sqrt{\pi}$.
Comment: 4 pages; omitted second author added
Databáze: arXiv