Gamma function diverges at zero
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Theorem
If $\mathbb{T}$ is a time scale and $s \in \mathbb{T}^+$, then $$\displaystyle\lim_{x \rightarrow 0^+} \Gamma_{\mathbb{T}}(x;s) = \infty,$$ where $\Gamma_{\mathbb{T}}$ denotes the gamma function.
