Gamma Function of Minus 2

Theorem

$\map \Gamma {-2}$ is not defined.

where $\Gamma$ denotes the Gamma function.

Proof

 $\ds \map \Gamma {-1}$ $=$ $\ds \paren {-2} \, \map \Gamma {-2}$ Gamma Difference Equation $\ds \leadsto \ \$ $\ds \map \Gamma {-2}$ $=$ $\ds \dfrac {\map \Gamma {-1} } {-2}$

But from Gamma Function of Minus 1, $\map \Gamma {-1}$ is not defined.

Hence the result.

$\blacksquare$