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Verifying the property of the Gamma function:
Gamma(n) = (n1)!
 one year ago
 one year ago
Verifying the property of the Gamma function: Gamma(n) = (n1)!
 one year ago
 one year ago

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kirbykirbyBest ResponseYou've already chosen the best response.0
\[\Gamma (\alpha)=\int\limits_{0}^{\infty}x^{\alpha1}e^{x}dx\] I understand how to get to the relationship \[\Gamma (\alpha)=(\alpha1)\Gamma (\alpha1)\] for any alpha >1 But I'm not sure how t get to :\[\Gamma (n)=(n1)!\] for n is a positive integer
 one year ago

satellite73Best ResponseYou've already chosen the best response.1
really? you have done all the hard work!
 one year ago

kirbykirbyBest ResponseYou've already chosen the best response.0
I dunno why I can't see this.. my brain is fried probably from doing the first part LOL
 one year ago

satellite73Best ResponseYou've already chosen the best response.1
that is \(n!\) can be defined as the recursion \(1!=1\) and \(n!=n(n1)!\)
 one year ago

kirbykirbyBest ResponseYou've already chosen the best response.0
OH i see right!! Oh thank you. Haha oh my that was fairly simple :P
 one year ago

satellite73Best ResponseYou've already chosen the best response.1
yeah way way more simple than showing \(\Gamma(\alpha)=(\alpha1)\Gamma(\alpha 1)\)
 one year ago

satellite73Best ResponseYou've already chosen the best response.1
like opening the jar after someone already loosened it
 one year ago

kirbykirbyBest ResponseYou've already chosen the best response.0
@satellite73 I couldn't help but wonder how do you keep your equations on the same line?
 one year ago
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