Difference between revisions of "Mozyrska-Torres logarithm at 1"
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==Theorem== | ==Theorem== | ||
| − | Let $\mathbb{T}$ be a time scale including $1$ and at least one other point $t$ such that $0< t < 1$. | + | Let $\mathbb{T}$ be a time scale including $1$ and at least one other point $t$ such that $0< t < 1$. Then $L_{\mathbb{T}}(1)=0$, where $L_{\mathbb{T}}$ denotes the [[Mozyrska-Torres logarithm]]. |
| − | |||
| − | where $L_{\mathbb{T}}$ denotes the [[Mozyrska-Torres logarithm]]. | ||
==Proof== | ==Proof== | ||
==References== | ==References== | ||
| + | {{PaperReference|The Natural Logarithm on Time Scales|2008|Dorota Mozyrska|author2 = Delfim F. M. Torres|prev=Delta derivative of Mozyrska-Torres logarithm|next=Mozyrska-Torres logarithm on the reals}} | ||
[[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 $0< t < 1$. Then $L_{\mathbb{T}}(1)=0$, 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)
