Forward regressive function

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Let $\mathbb{T}$ be a time scale. Let $p \colon \mathbb{T} \rightarrow \mathbb{C}$. We say that $p$ is forward regressive if for all $t \in \mathbb{T}^{\kappa}$ $$1+\mu(t)p(t)\neq 0.$$ We call the set of forward regressive functions with domain $X$ and codomain $Y$ by $\mathcal{R}(X,Y)$.

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