(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

I'm not sure how to prove that the Gamma function (the extension of the factorial) has the property that Γ(z+1) = zΓ(z).

2. Relevant equations

[itex]Γ(z)=\int_0^\infty t^{z-1} e^{-t}\,{\rm d}t[/itex]

3. The attempt at a solution

Looking online, I should try integration by parts, but I'm still unsure as to how to attack the problem.

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# How to prove that Γ(z+1)=zΓ(z)?

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