Delta derivative of Mozyrska-Torres logarithm

From timescalewiki
Revision as of 15:28, 21 October 2017 by Tom (talk | contribs)
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)
Jump to: navigation, search


Let $\mathbb{T}$ be a time scale including $1$ and at least one other point $t$ such that $0< t < 1$. The following formula holds: $$L_{\mathbb{T}}^{\Delta}(t) = \dfrac{1}{t},$$ where $L_{\mathbb{T}}$ denotes the Mozyrska-Torres logarithm.



Dorota Mozyrska and Delfim F. M. Torres: The Natural Logarithm on Time Scales (2008)... (previous)... (next)