Proving Gamma Function: Get Help Now

Thread starter alia
Start date Dec 19, 2008
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Function Gamma Gamma function

Dec 19, 2008

alia

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

thank you

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Dec 19, 2008

boombaby

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

Dec 19, 2008

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.

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