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 $\Gamma(2k+2)$?

Why don't you try some examples, like $k = 2, 3$, to get a sense of what's happening? — user155747, Jun 07 '14 at 08:56

score 3 · Accepted Answer · answered Jun 07 '14 at 08:56

3

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

answered Jun 07 '14 at 08:56

tpb261

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Question about gamma function recurrence formula.

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