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 $0< t < 1$. The following formula holds:
+
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]].
$$L_{\mathbb{T}}(1)=0,$$
 
where $L_{\mathbb{T}}$ denotes the [[Mozyrska-Torres logarithm]].
 
  
 
==Proof==
 
==Proof==

Revision as of 15:24, 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