Right ?
wha-?
??????
let him type lol
lol
\[\Gamma \left(\frac{1}{2}\right)=\sqrt{\pi}\]\[\Gamma \left(\frac{n}{2}\right) \\~~ \\~~ \\ =\left(\frac{n-2}{2}\right)\left(\frac{n-4}{2}\right){\Huge....}\left(\frac{1}{2}\right)\Gamma \left(\frac{1}{2}\right) \\ =\left(\frac{n-2}{2}\right)\left(\frac{n-4}{2}\right){\Huge....}\left(\frac{1}{2}\right)\Gamma \left(\frac{1}{2}\right)\sqrt{\pi}\]
the first line is the given statement
oh boy, i'm outta here lol
I made a typo in last line
same, sorry, never studied this
@nincompoop @TuringTest @dan815
last line should say \[\Gamma\left(\frac{n}{2}\right)=\left(\frac{n-2}{2}\right)\left(\frac{n-4}{2}\right){\Huge....}\left(\frac{1}{2}\right)\sqrt{\pi}\]
where n is an odd integer
gamma of n=(n-1)! so ...
yes, I know that, but this isn't a factorial of an integer.
sorry, my second didn't enter
So my question is, how do you know that n-(2k)=1 for some k?
yeah this is correct
@fbi2015
gamma(x+1)=xgamma(x) if x>0 comes directly from this formula
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