Delta exponential of Jackson logarithm

From timescalewiki
Revision as of 17:46, 11 February 2017 by Tom (talk | contribs)
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)
Jump to: navigation, search

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