Gamma Function

Definition

• $z \in \mathbb{C}$,
• $\mathrm{Re}(z) > -1$,

\[z \in \mathbb{C}, \ \mathrm{Re}(z) > -1, \ \Gamma(z + 1) := \int_{0}^{\infty} t^{z} e^{-t} \ dt .\]

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Reference