Difference between revisions of "Delta exponential of Jackson logarithm"

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Revision as of 17:36, 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