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Simplify using assumptions and Gamma[*]


Hi,

Since the Euler Gamma function is (n-1)! for n>=1 and n an integer, I
was wondering why

FullSimplify[Gamma[n], n>=1 && n \[Element] Integers]

does not evaluate to (n-1)! ?  Am I missing something here?

Am I using the Assumptions capability incorrectly?

Many thanks in advance,

Michael


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