Difference between revisions of "Euler-Cauchy logarithm"

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{{PaperReference|The logarithm on time scales|2005|Martin Bohner|prev=findme|next=findme}}: (2)
{{PaperReference|The logarithm on time scales|2005|Martin Bohner|prev=Delta exponential dynamic equation|next=Bohner logarithm}}: (2)

Revision as of 16:59, 11 February 2017

Let $\mathbb{T}$ be a time scale and let $s \in \mathbb{T}$. The Euler-Cauchy logarithm is defined by the formula $$L(t,s)=\displaystyle\int_{s}^t \dfrac{1}{\tau + 2\mu(\tau)} \Delta \tau.$$


See also

Euler-Cauchy dynamic equation


Martin Bohner: The logarithm on time scales (2005)... (previous)... (next): (2)