Difference between revisions of "Delta exponential of Jackson logarithm"

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==References==
 
==References==
*{{PaperReference|The time scale logarithm|2008|Billy Jackson|prev=Jackson logarithm of delta exponential|next=Delta exponential of Jackson logarithm}}: Theorem $1.1$, $(1.3)$
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*{{PaperReference|The time scale logarithm|2008|Billy Jackson|prev=Jackson logarithm of delta exponential|next=Jackson logarithm of a product}}: Theorem $1.1$, $(1.3)$
  
 
[[Category:Theorem]]
 
[[Category:Theorem]]
 
[[Category:Unproven]]
 
[[Category:Unproven]]

Latest revision as of 17:46, 11 February 2017

Theorem

Let $\mathbb{T}$ be a time scale. The following formula holds: $$e_{\log_{\mathbb{T}} f}(t,s)=\dfrac{f(t)}{f(s)},$$ where $e_{\cdot}$ denotes the delta exponential and $\log_{\mathbb{T}}$ denotes the Jackson logarithm.

Proof

References