Difference between revisions of "Delta exponential with p=0"

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(Created page with "<div class="toccolours mw-collapsible mw-collapsed" style="width:800px"> <strong>Theorem:</strong> Let $\mathbb{T}$ be a time scale and $t,s...")
 
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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:
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<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: