Difference between revisions of "Forward circle minus"
From timescalewiki
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[[Forward regressive functions form a group]]<br /> | [[Forward regressive functions form a group]]<br /> | ||
[[Circle minus inverse of circle plus]]<br /> | [[Circle minus inverse of circle plus]]<br /> | ||
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=See Also= | =See Also= | ||
[[Delta exponential]]<br /> | [[Delta exponential]]<br /> | ||
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[[Category:Definition]] | [[Category:Definition]] | ||
Latest revision as of 15:26, 21 January 2023
Let $\mathbb{T}$ be a time scale and let $p,q \in \mathcal{R}(\mathbb{T},\mathbb{C})$ be (forward) regressive functions . We define the (forward) circle minus operation by $$\left( \ominus_{\mu} p \right)(t) = \dfrac{-p(t)}{1+p(t)\mu(t)}.$$ Often in the literature, the subscript is suppressed.
Properties
Forward regressive functions form a group
Circle minus inverse of circle plus
