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In basic mathematics, n factorial is equal to 1*2*3*...*n and is written as n! for positive integer values of n.

The Gamma function is a generalisation of this concept, with

Gamma(x) = (x-1)! where x can be any real or complex.

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Q: What are gamma functions?
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What kind of gamma ray can penetrate solids?

Gamma rays are gamma rays are gamma rays.