Mozyrska-Torres logarithm at 1

Theorem

Let $\mathbb{T}$ be a time scale including $1$ and at least one other point $t$ such that $0< t < 1$. The following formula holds: $$L_{\mathbb{T}}(1)=0,$$ where $L_{\mathbb{T}}$ denotes the Mozyrska-Torres logarithm.