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## Homework Statement

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).

## Homework Equations

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

## 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.