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We can write Gamma (3/2) = gamma(1/2 + 1) So, gamma (1/2+1) =(1/2) gamma(1/2) .......(a) Because we know, gamma(n+1)=n gamma n And also we know gamma 1/2 =√π So from (a) we can write Gamma (3/2)=(1/2)√π =√π/2
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what is the formula of gamma (3/2) , gamma (5/2), gamma (7/2).........?
We can write Gamma (3/2) = gamma(1/2 + 1)
So, gamma (1/2+1)
=(1/2) gamma(1/2) .......(a)
Because we know,
gamma(n+1)=n gamma n
And also we know gamma 1/2 =√π
So from (a) we can write
Gamma (3/2)=(1/2)√π
=√π/2
And this is similar for all problems which you given in this question
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