Question about gamma function recurrence formula.

Question

I know that $\Gamma(k+1)=k\Gamma(k)$. But I am not sure about $2k\,\Gamma(2k)=$? Can anyone help me out with this? Is it $\Gamma(2k+1)$ or $\Gamma(2k+2)$?

Answer 1

To remove any confusion, $\Gamma(n+1)=n\Gamma(n)$, substitute $n=2k$.