# Factorial function

1. Homework Statement

I was just wondering if
$$n!=n(n-1)!$$
is completely general. Does it hold even for non-integer n?

2. Homework Equations

3. The Attempt at a Solution

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rock.freak667
Homework Helper
In general, n! is only for integers.

(But it is possible to compute nCr for n being negative or a non-integer.)

HallsofIvy
The gamma functions, $\Gamma(z)= \int_0^\infty t^{z-1} e^{-t}dt$ has the property that $\Gamma(z)= (z-1)!$ for z a positive integer, and is defined for all z except negative integers.