Inverse cylinder transformation
From timescalewiki
Let $\mathbb{T}$ be a time scale. We define the inverse cylinder transformation $\xi_h \colon \mathbb{Z}_h \rightarrow \mathbb{C}_h$, where $\mathbb{Z}_h$ denotes the cylinder strip and $\mathbb{C}_h$ denotes the Hilger complex plane, and is defined by the formula $$\xi_h^{-1}(z)=\dfrac{e^{zh}-1}{h}.$$
