Question: Prove the following properties of the Gamma function. (a) (n) = (n1)! For n = 1,2,3,. (b) (x + 1) = x

Prove the following properties of the Gamma function.
(a) Γ (n) = (n–1)! For n = 1,2,3,….
(b) Γ (x + 1) = x Γ (x)
(c) Γ (1 / 2) = √x.

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