Difference between revisions of "Delta exponential with p=0"
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− | <strong>[[Delta exponential with p=0|Theorem]]:</strong> Let $\mathbb{T}$ be a [[time scale]] and $t,s \in \mathbb{T}$. Then the following formula holds: | + | <strong>[[Delta exponential with p=0|Theorem]]:</strong> Let $\mathbb{T}$ be a [[time scale]] and let $t,s \in \mathbb{T}$. Then the following formula holds: |
$$e_0(t,s;\mathbb{T})=1,$$ | $$e_0(t,s;\mathbb{T})=1,$$ | ||
where $e_0$ denotes the [[delta exponential]]. | where $e_0$ denotes the [[delta exponential]]. |
Revision as of 23:13, 31 May 2016
Theorem: Let $\mathbb{T}$ be a time scale and let $t,s \in \mathbb{T}$. Then the following formula holds: $$e_0(t,s;\mathbb{T})=1,$$ where $e_0$ denotes the delta exponential.
Proof: █