07/10/2022, 03:01 AM
No, Catullus
The \(\Gamma\) function is a meromorphic function. This means it sends \(\mathbb{C} \to \mathbb{C} \cup \infty\). Infinity is perfectly fine in this instance, because we are referring to it on the Riemann sphere. All is good. Look up the notion of a pole, the Gamma function has simple poles at the negative integers.
The \(\Gamma\) function is a meromorphic function. This means it sends \(\mathbb{C} \to \mathbb{C} \cup \infty\). Infinity is perfectly fine in this instance, because we are referring to it on the Riemann sphere. All is good. Look up the notion of a pole, the Gamma function has simple poles at the negative integers.