Mozyrska-Torres logarithm tends to infinity

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Theorem

Let $\mathbb{T}$ be a time scale. The following formula holds: $$\displaystyle\lim_{t \rightarrow \infty} L_{\mathbb{T}}(t) = \infty,$$ where $L_{\mathbb{T}}$ denotes the Mozyrska-Torres logarithm.

Proof

References