Difference between revisions of "Delta derivative of Mozyrska-Torres logarithm"
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==References== | ==References== | ||
| + | {{PaperReference|The Natural Logarithm on Time Scales|2009|Dorota Mozyrska|author2 = Delfim F. M. Torres|prev=Mozyrska-Torres logarithm|next=Mozyrska-Torres logarithm at 1}} | ||
[[Category:Theorem]] | [[Category:Theorem]] | ||
[[Category:Unproven]] | [[Category:Unproven]] | ||
Revision as of 15:11, 21 October 2017
Theorem
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.
Proof
References
Dorota Mozyrska and Delfim F. M. Torres: The Natural Logarithm on Time Scales (2009)... (previous)... (next)
