can any body help me to proove gamma(n+1/2)=(2n)!*sqrt(pi)/((4^n)*n!)
all you need is
gamma(x+1)=x*gamma(x) (which is not difficult to prove)
if you have to prove that gamma (1/2) = sqrt(pi) you should start from the definition of the gamma function and then use polar coordinates, it'll fall right out.
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