Difference between revisions of "Delta exponential of Jackson logarithm"

From timescalewiki
Jump to: navigation, search
(Created page with "==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 expon...")
 
Line 7: Line 7:
  
 
==References==
 
==References==
 +
*{{PaperReference|The time scale logarithm|2008|Billy Jackson|prev=Jackson logarithm of delta exponential|next=Delta exponential of Jackson logarithm}}: Theorem $1.1$, $(1.3)$
  
 
[[Category:Theorem]]
 
[[Category:Theorem]]
 
[[Category:Unproven]]
 
[[Category:Unproven]]

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