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= | + | *{{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
- Billy Jackson: The time scale logarithm (2008)... (previous)... (next): Theorem $1.1$, $(1.3)$
