# Euler-Cauchy logarithm

From timescalewiki

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): $(2)$

Dorota Mozyrska and Delfim F. M. Torres: *The Natural Logarithm on Time Scales* (2008)... (previous)... (next)