View source for Gamma function on certain time scales at bracket number equals bracket factorial

==Theorem==
If $\mathbb{T}$ is a [[time scale]], $n \in \mathbb{Z}^+$, and $[k]_{\mathbb{T}}$ is constant on $\mathbb{T}^+$ for all $k\in[1,n]\bigcap \mathbb{Z}^+$, then 
$$\Gamma_{\mathbb{T}}\left( [n]_{\mathbb{T}};s \right) = \dfrac{[n-1]_{\mathbb{T}}!}{s^{n-1}},$$
where $[k]_{\mathbb{T}}$ denotes a [[bracket number]], $[n-1]_{\mathbb{T}}!$ denotes a [[bracket factorial]], and $\Gamma$ denotes the [[gamma function]].

==Proof==

==References==


[[Category:Theorem]]
[[Category:Unproven]]