# Difference between revisions of "Delta derivative of Mozyrska-Torres logarithm"

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==References== | ==References== | ||

− | {{PaperReference|The Natural Logarithm on Time Scales| | + | {{PaperReference|The Natural Logarithm on Time Scales|2008|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]] |

## Latest revision as of 15:28, 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* (2008)... (previous)... (next)