- #1
shnaiwer
- 13
- 0
hi to all ...
it is just an attempt to understand ...
the problem was to prove that
gamma ( z+ 1) = z * gamma(z) using the integral definition of gamma function ...
when i used the integration by parts i get the following :
gamma ( z+ 1 ) = ( x^z) * e^(-x) (0 ,∞) + ⌠ z x^(z-1) e^(-x ) dx
where the limits of integration ( 0 ,∞)
the integration already gives z * gamma (z) , then ( x^z) * e^(-x) │( 0 ,∞) = 0
i don't have the evidense that this term is zero ...
have u ?
it is just an attempt to understand ...
the problem was to prove that
gamma ( z+ 1) = z * gamma(z) using the integral definition of gamma function ...
when i used the integration by parts i get the following :
gamma ( z+ 1 ) = ( x^z) * e^(-x) (0 ,∞) + ⌠ z x^(z-1) e^(-x ) dx
where the limits of integration ( 0 ,∞)
the integration already gives z * gamma (z) , then ( x^z) * e^(-x) │( 0 ,∞) = 0
i don't have the evidense that this term is zero ...
have u ?
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