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Homework Help: Gamma Function Help

  1. Dec 19, 2008 #1
    can any body help me to proove gamma(n+1/2)=(2n)!*sqrt(pi)/((4^n)*n!)


    thank you
     
  2. jcsd
  3. Dec 19, 2008 #2
    all you need is
    gamma(x+1)=x*gamma(x) (which is not difficult to prove)
    gamma(1/2)=sqrt(pi)
     
  4. Dec 19, 2008 #3
    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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