Proving Gamma Function: Get Help Now

[alia]

can anybody help me to proove gamma(n+1/2)=(2n)!*sqrt(pi)/((4^n)*n!)


thank you

 

[boombaby]

all you need is
gamma(x+1)=x*gamma(x) (which is not difficult to prove)
gamma(1/2)=sqrt(pi)

 

[Mentia]

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.