Difference between revisions of "Delta exponential with t=s"
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| − | + | ==Theorem== | |
| − | + | Let $\mathbb{T}$ be a [[time scale]], let $t \in \mathbb{T}$, and $p \colon \mathbb{T} \rightarrow \mathbb{C}$ a [[regressive function]]. The following formula holds: | |
$$e_p(t,t;\mathbb{T})=1,$$ | $$e_p(t,t;\mathbb{T})=1,$$ | ||
where $e_p$ denotes the [[delta exponential]]. | where $e_p$ denotes the [[delta exponential]]. | ||
| − | + | ||
| − | + | ==Proof== | |
| − | + | ||
| − | + | ==References== | |
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| + | [[Category:Theorem]] | ||
| + | [[Category:Unproven]] | ||
Latest revision as of 22:19, 9 June 2016
Theorem
Let $\mathbb{T}$ be a time scale, let $t \in \mathbb{T}$, and $p \colon \mathbb{T} \rightarrow \mathbb{C}$ a regressive function. The following formula holds: $$e_p(t,t;\mathbb{T})=1,$$ where $e_p$ denotes the delta exponential.
