Difference between revisions of "Euler-Cauchy logarithm"
From timescalewiki
| Line 6: | Line 6: | ||
=See also= | =See also= | ||
[[Euler-Cauchy dynamic equation]]<br /> | [[Euler-Cauchy dynamic equation]]<br /> | ||
| + | [[Jackson logarithm]]<br /> | ||
| + | [[Mozyrska-Torres logarithm]]<br /> | ||
=References= | =References= | ||
*{{PaperReference|The logarithm on time scales|2005|Martin Bohner|prev=Delta exponential dynamic equation|next=Bohner logarithm}}: $(2)$ | *{{PaperReference|The logarithm on time scales|2005|Martin Bohner|prev=Delta exponential dynamic equation|next=Bohner logarithm}}: $(2)$ | ||
Revision as of 17:03, 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 $$L(t,s)=\displaystyle\int_{s}^t \dfrac{1}{\tau + 2\mu(\tau)} \Delta \tau.$$
Properties
See also
Euler-Cauchy dynamic equation
Jackson logarithm
Mozyrska-Torres logarithm
References
- Martin Bohner: The logarithm on time scales (2005)... (previous)... (next): $(2)$
